Ch9 Evans BA1e

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    Demographic Data

    Unemployment Cost of Living

    Metropolitan Area State (July 1999) 1999 - US Avg = 100

    ANCHORAGE AK 3.60% 125.90

    BIRMINGHAM AL 2.70% 99.10

    HUNTSVILLE AL 2.70% 95.20

    MOBILE AL 3.60% 91.80MONTGOMERY AL 2.90% 92.40

    LITTLE ROCK AR 3.20% 87.20

    PHOENIX AZ 2.60% 99.90

    TUCSON AZ 2.30% 99.70

    BAKERSFIELD CA 12.50% 106.10

    FRESNO CA 13.80% 105.80

    LOS ANGELES CA 6.30% 122.00

    SACRAMENTO CA 4.10% 114.00

    SAN DIEGO CA 3.20% 122.80

    SAN FRANCISCO CA 2.50% 144.70

    COLORADO SPRINGS CO 3.70% 96.80

    DENVER CO 2.60% 105.30

    PUEBLO CO 5.80% 92.50

    HARTFORD CT 3.40% 121.80

    WASHINGTON DC 2.90% 132.00

    WILMINGTON DE 3.20% 108.10

    FORT MYERS FL 4.40% 97.20

    JACKSONVILLE FL 2.90% 95.40

    MIAMI FL 6.70% 104.50

    ORLANDO FL 2.90% 97.00

    PENSACOLA FL 3.70% 93.60TALLAHASSEE FL 3.10% 100.10

    TAMPA FL 2.90% 97.80

    WEST PALM BEACH FL 5.60% 104.70

    ATLANTA GA 3.00% 97.40

    COLUMBUS GA 4.40% 93.90

    MACON GA 4.70% 95.10

    DES MOINES A 1.80% 94.70

    DUBUQUE A 2.60% 107.50

    BOISE ID 3.30% 102.70

    POCATELLO ID 4.50% 99.80

    CHICAGO IL 4.00% 121.60

    ROCKFORD IL 4.10% 103.60

    SPRINGFIELD IL 3.60% 95.10

    FORT WAYNE IN 2.40% 93.30

    INDIANAPOLIS IN 2.30% 94.90

    SOUTH SEND IN 2.40% 90.90

    TOPEKA KS 4.30% 95.10

    WICHITA KS 3.30% 94.80

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    LEXINGTON KY 1.90% 95.90

    LOUISVILLE KY 2.70% 92.80

    BATON ROUGE LA 3.70% 98.50

    NEW ORLEANS LA 4.00% 94.50

    SHREVEPORT LA 4.80% 94.90

    BOSTON MA 2.20% 136.80

    BALTIMORE MD 4.70% 102.30DETROIT MI 2.80% 113.00

    GRAND RAPIDS MI 2.50% 102.10

    LANSING MI 2.10% 102.90

    MINNEAPOLIS-ST.PAUL MN 1.50% 99.70

    ROCHESTER MN 1.20% 97.50

    COLUMBIA MO 1.40% 93.10

    KANSAS CITY MO 3.20% 96.10

    SPRINGFIELD MO 2.50% 94.50

    ST. LOUIS MO 3.50% 97.40

    JACKSON MS 2.80% 94.30

    BILLINGS MT 3.80% 102.70

    GREAT FALLS MT 5.70% 102.50

    MISSOULA MT 5.20% 101.80

    ASHEVILLE NC 3.30% 100.00

    CHARLOTTE NC 5.00% 96.80

    GREENSBORO-WNSTN-S NC 2.80% 97.50

    RALEIGH NC 1.90% 97.30

    WILMINGTON NC 4.20% 97.80

    BISMARCK ND 1.80% 99.90

    FARGO ND 1.10% 100.80

    LINCOLN NE 1.40% 88.80OMAHA NE 1.90% 92.30

    CONCORD NH 2.30% 108.80

    ATLANTIC CITY NJ 12.70% 132.60

    ALBUQUERQUE NM 4.60% 102.80

    LAS VEGAS NV 3.30% 105.60

    RENO NV 2.80% 111.80

    ALBANY NY 3.10% 109.70

    BUFFALO NY 4.50% 97.30

    NEW YORK NY 7.60% 226.50

    ROCHESTER NY 3.50% 110.40

    SYRACUSE NY 3.40% 102.90

    AKRON om 3.70% 96.30

    CINCINNATI OH 3.20% 101.10

    CLEVELAND OH 4.20% 106.00

    COLUMBUS OH 2.50% 101.40

    TOLEDO OH 4.60% 96.90

    OKLAHOMA CITY OK 3.00% 90.20

    TULSA OK 3.00% 89.40

    EUGENE OR 5.10% 108.90

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    PORTLAND OR 4.30% 107.30

    SALEM OR 5.50% 103.30

    ALLENTOWN PA 4.40% 104.40

    ERIE PA 4.70% 101.60

    HARRISBURG PA 2.70% 104.90

    PHILADELPHIA PA 4.00% 127.40

    PITTSBURGH PA 4.31% 113.30WILLIAMSPORT PA 5.10% 97.50

    CHARLESTON SC 2.50% 95.20

    COLUMBIA SC 1.80% 94.20

    GREENVILLE SC 2.50% 95.20

    RAPID CITY SO 2.40% 100.20

    SIOUXFALLS SO 1.40% 96.60

    KNOXVILLE TN 3.40% 93.80

    MEMPHIS TN 3.20% 95.30

    NASHVILLE TN 2.50% 91.70

    ABILENE TX 3.40% 91.80

    AMARILLO TX 3.10% 90.00

    AUSTIN TX 2.40% 100.90

    CORPUS CHRISTI TX 6.40% 93.60

    DALLAS-FORT WORTH TX 2.90% 101.80

    ELPASO TX 9.80% 95.00

    HOUSTON TX 3.80% 96.80

    SAN ANTONIO TX 3.20% 99.60

    WACO TX 3.30% 92.10

    SALT LAKE CITY UT 2.70% 100.90

    NORFOLK VA 3.30% 100.50

    RICHMOND VA 2.80% 102.00ROANOKE VA 2.10% 93.00

    BURLINGTON VT 1.90% 109.60

    OLYMPIA WA 4.80% 103.40

    SEATTLE WA 3.10% 119.70

    SPOKANE WA 5.30% 106.70

    YAKIMA WA 11.70% 102.60

    GREEN BAY Wl 2.40% 97.00

    LA CROSSE WI 2.50% 98.50

    MILWAUKEE Wl 3.30% 107.50

    CHARLESTON WV 4.40% 96.60

    HUNTINGTON WV 5.80% 100.80

    CASPER WY 5.00% 101.40

    CHEYENNE WY 3.30% 95.00

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    y = 171.69x + 96.132

    R = 0.0582

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    0.00% 2.00% 4.00% 6.00% 8.00% 10.00% 12.00% 14.00% 16.00%Unemployment %

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    Student Grades

    Student Midterm inal Exam

    1 76 62

    2 84 90

    3 79 68

    4 88 845 76 58

    6 66 79

    7 75 73

    8 94 93

    9 66 65

    10 92 86

    11 80 53

    12 87 83

    13 86 49

    14 63 72

    15 92 87

    16 75 89 Midterm 85

    17 69 81 Final Prediction 84.19

    18 92 94

    19 79 78

    20 60 71

    21 68 84

    22 71 74

    23 61 74

    24 68 54

    25 76 9726 72 79

    27 99 89

    28 58 53

    29 82 78

    30 72 82

    31 77 69

    32 95 98

    33 72 93

    34 71 80

    35 72 82

    36 96 96

    37 72 61

    38 89 84

    39 94 97

    40 85 89

    41 60 72

    42 66 93

    43 96 84

    y = 0.6037x + 32.933

    R = 0.2708

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    Final

    Midterm

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    44 83 87

    45 88 99

    46 92 97

    47 80 92

    48 80 93

    49 91 78

    50 74 8251 96 99

    52 80 72

    53 62 79

    54 70 75

    55 87 90

    56 90 95

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    100 120

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    Home Market Value INTERCEPT 32,673.00$

    SLOPE 35.04$

    House Age Square Feet Market Value Predicted Errors

    33 1,812 $90,000.00 96,158.23$ -$6,158.23 min

    32 1,914 $104,400.00 99,731.90$ $4,668.10 max

    32 1,842 $93,300.00 97,209.31$ -$3,909.3133 1,812 $91,000.00 96,158.23$ -$5,158.23

    32 1,836 $101,900.00 96,999.10$ $4,900.90

    33 2,028 $108,500.00 103,726.01$ $4,773.99

    32 1,732 $87,600.00 93,355.35$ -$5,755.35

    33 1,850 $96,000.00 97,489.60$ -$1,489.60

    32 1,791 $89,200.00 95,422.48$ -$6,222.48

    33 1,666 $88,400.00 91,042.98$ -$2,642.98

    32 1,852 $100,800.00 97,559.67$ $3,240.33

    32 1,620 $96,700.00 89,431.32$ $7,268.68

    32 1,692 $87,500.00 91,953.91$ -$4,453.91

    32 2,372 $114,000.00 115,778.39$ -$1,778.39

    32 2,372 $113,200.00 115,778.39$ -$2,578.39

    33 1,666 $87,500.00 91,042.98$ -$3,542.98

    32 2,123 $116,100.00 107,054.43$ $9,045.57

    32 1,620 $94,700.00 89,431.32$ $5,268.68

    32 1,731 $86,400.00 93,320.32$ -$6,920.32

    32 1,666 $87,100.00 91,042.98$ -$3,942.98

    28 1,520 $83,400.00 85,927.72$ -$2,527.72

    27 1,484 $79,800.00 84,666.42$ -$4,866.42

    28 1,588 $81,500.00 88,310.17$ -$6,810.17

    28 1,598 $87,100.00 88,660.53$ -$1,560.5328 1,484 $82,600.00 84,666.42$ -$2,066.42

    28 1,484 $78,800.00 84,666.42$ -$5,866.42

    28 1,520 $87,600.00 85,927.72$ $1,672.28

    27 1,701 $94,200.00 92,269.24$ $1,930.76

    28 1,484 $82,000.00 84,666.42$ -$2,666.42

    28 1,468 $88,100.00 84,105.85$ $3,994.15

    28 1,520 $88,100.00 85,927.72$ $2,172.28

    27 1,520 $88,600.00 85,927.72$ $2,672.28

    27 1,484 $76,600.00 84,666.42$ -$8,066.42

    28 1,520 $84,400.00 85,927.72$ -$1,527.72

    27 1,668 $90,900.00 91,113.05$ -$213.05

    28 1,588 $81,000.00 88,310.17$ -$7,310.17

    28 1,784 $91,300.00 95,177.22$ -$3,877.22

    27 1,484 $81,300.00 84,666.42$ -$3,366.42

    27 1,520 $100,700.00 85,927.72$ $14,772.28

    28 1,520 $87,200.00 85,927.72$ $1,272.28

    27 1,684 $96,700.00 91,673.62$ $5,026.38

    27 1,581 $120,700.00 88,064.92$ $32,635.08

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    BIN Cumulative Count Count

    -$8,066.42 (10,000.00)$ 0 0

    $32,635.08 (7,500.00)$ 1 1

    (5,000.00)$ 9 8(2,500.00)$ 20 11

    -$ 26 6

    2,500.00$ 30 4

    5,000.00$ 36 6

    7,500.00$ 39 3

    10,000.00$ 40 1

    12,500.00$ 40 0

    15,000.00$ 41 1

    17,500.00$ 41 0

    20,000.00$ 41 0

    22,500.00$ 41 0

    25,000.00$ 41 0

    27,500.00$ 41 0

    30,000.00$ 41 0

    32,500.00$ 41 0

    35,000.00$ 42 1

    3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19

    Histogram for Errors

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    X Y XY X^2 X_bar

    Square Feet Market Value 1,695

    1,812 $90,000.00 163,080,000.00 3,283,344.00

    1,914 $104,400.00 199,821,600.00 3,663,396.00

    1,842 $93,300.00 171,858,600.00 3,392,964.00

    1,812 $91,000.00 164,892,000.00 3,283,344.00

    1,836 $101,900.00 187,088,400.00 3,370,896.002,028 $108,500.00 220,038,000.00 4,112,784.00

    1,732 $87,600.00 151,723,200.00 2,999,824.00

    1,850 $96,000.00 177,600,000.00 3,422,500.00

    1,791 $89,200.00 159,757,200.00 3,207,681.00

    1,666 $88,400.00 147,274,400.00 2,775,556.00

    1,852 $100,800.00 186,681,600.00 3,429,904.00

    1,620 $96,700.00 156,654,000.00 2,624,400.00

    1,692 $87,500.00 148,050,000.00 2,862,864.00

    2,372 $114,000.00 270,408,000.00 5,626,384.00

    2,372 $113,200.00 268,510,400.00 5,626,384.00

    1,666 $87,500.00 145,775,000.00 2,775,556.00

    2,123 $116,100.00 246,480,300.00 4,507,129.00

    1,620 $94,700.00 153,414,000.00 2,624,400.00

    1,731 $86,400.00 149,558,400.00 2,996,361.00

    1,666 $87,100.00 145,108,600.00 2,775,556.00

    1,520 $83,400.00 126,768,000.00 2,310,400.00

    1,484 $79,800.00 118,423,200.00 2,202,256.00

    1,588 $81,500.00 129,422,000.00 2,521,744.00

    1,598 $87,100.00 139,185,800.00 2,553,604.00

    1,484 $82,600.00 122,578,400.00 2,202,256.00

    1,484 $78,800.00 116,939,200.00 2,202,256.001,520 $87,600.00 133,152,000.00 2,310,400.00

    1,701 $94,200.00 160,234,200.00 2,893,401.00

    1,484 $82,000.00 121,688,000.00 2,202,256.00

    1,468 $88,100.00 129,330,800.00 2,155,024.00

    1,520 $88,100.00 133,912,000.00 2,310,400.00

    1,520 $88,600.00 134,672,000.00 2,310,400.00

    1,484 $76,600.00 113,674,400.00 2,202,256.00

    1,520 $84,400.00 128,288,000.00 2,310,400.00

    1,668 $90,900.00 151,621,200.00 2,782,224.00

    1,588 $81,000.00 128,628,000.00 2,521,744.00

    1,784 $91,300.00 162,879,200.00 3,182,656.00

    1,484 $81,300.00 120,649,200.00 2,202,256.00

    1,520 $100,700.00 153,064,000.00 2,310,400.00

    1,520 $87,200.00 132,544,000.00 2,310,400.00

    1,684 $96,700.00 162,842,800.00 2,835,856.00

    1,581 $120,700.00 190,826,700.00 2,499,561.00

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    Y_bar SUM(XY) SUM(X^2) n

    92,069.05$ 6,625,096,800.00 122,693,377.00 42

    SLOPE 35.04

    INTERCEPT 32,673.22$

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    Billable Total

    3,000.00 340,000.00$

    4,000.00 400,000.00$

    5,000.00 435,000.00$

    6,000.00 477,000.00$

    7,000.00 529,000.00$8,000.00 587,000.00$

    a. Around $20,0000

    b. 1000 billable hours gives 67,524.00$ roughly

    -

    $-

    $100,000.00

    $200,000.00

    $300,000.00

    $400,000.00

    $500,000.00

    $600,000.00

    $700,000.00

    - 1,000.002,000.003,000.004,000.

    Tota

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    y = 47.543x + 199848

    R = 0.994

    005,000.006,000.007,000.008,000.009,000.00

    l

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    SUMMARY OUTPUT

    Regression Statistics

    Multiple R 0.241202

    R Square 0.058179

    Adjusted R Square 0.050878

    Standard Error 0.020176Observations 131

    ANOVA

    df SS MS F gnificance F

    Regression 1 0.003244 0.003244 7.96865 0.005515

    Residual 129 0.052514 0.000407

    Total 130 0.055758

    Coefficientsandard Err t Stat P-value Lower 95%Upper 95%ower 95.0 pper 95.0

    Intercept 0.002698 0.012437 0.216932 0.828604 -0.02191 0.027305 -0.02191 0.027305

    X Variable 1 0.000339 0.00012 2.82288 0.005515 0.000101 0.000576 0.000101 0.000576

    RESIDUAL OUTPUT

    Observation redicted Y Residuals dard Residuals

    10 0.038548 0.099452 4.948201

    9 0.03865 0.08635 4.29633

    124 0.037464 0.079536 3.957299

    74 0.04763 0.07937 3.949063112 0.034889 0.063111 3.140089

    110 0.034414 0.029586 1.472027

    23 0.038108 0.028892 1.437523

    17 0.034042 0.023958 1.192043

    129 0.036854 0.021146 1.052109

    62 0.03743 0.01957 0.973693

    11 0.044038 0.018962 0.943462

    28 0.038176 0.017824 0.886847

    92 0.037701 0.017299 0.860696

    98 0.035736 0.015264 0.759461

    63 0.037193 0.014807 0.73672

    65 0.035499 0.014501 0.721508

    123 0.038853 0.014147 0.703864

    48 0.034855 0.013145 0.654031

    130 0.037057 0.012943 0.643955

    31 0.034923 0.012077 0.600905

    90 0.039599 0.011401 0.567263

    87 0.035533 0.010467 0.520803

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    121 0.037735 0.010265 0.510726

    94 0.037125 0.009875 0.491318

    50 0.037362 0.009638 0.479516

    30 0.034516 0.009484 0.471872

    79 0.035668 0.009332 0.464304

    128 0.035431 0.008569 0.426351

    35 0.036515 0.008485 0.42215575 0.037532 0.008468 0.421332

    21 0.035634 0.008366 0.416235

    42 0.034923 0.008077 0.401885

    68 0.035838 0.006162 0.30661

    93 0.038074 0.005926 0.294847

    47 0.034719 0.005281 0.262736

    91 0.039057 0.003943 0.196199

    85 0.038616 0.003384 0.168362

    37 0.037803 0.003197 0.15907

    25 0.034414 0.002586 0.128645

    113 0.035499 0.002501 0.12445

    4 0.033804 0.002196 0.109238

    97 0.04109 0.00201 0.100018

    83 0.035329 0.001671 0.083125

    15 0.035499 0.001501 0.074695

    38 0.034923 0.001077 0.053601

    46 0.036075 0.000925 0.046034

    61 0.037498 0.000502 0.024979

    107 0.033804 0.000196 0.009728

    6 0.032246 -0.00025 -0.01223

    12 0.041327 -0.00033 -0.01627104 0.034482 -0.00048 -0.02399

    59 0.035702 -0.0007 -0.03493

    115 0.033906 -0.00091 -0.04508

    43 0.034821 -0.00182 -0.09061

    131 0.034889 -0.00189 -0.09398

    108 0.033195 -0.00219 -0.10919

    105 0.03499 -0.00299 -0.14879

    89 0.032991 -0.00299 -0.14883

    57 0.035262 -0.00326 -0.16228

    88 0.033262 -0.00326 -0.16232

    80 0.079448 -0.00345 -0.1715482 0.037566 -0.00357 -0.17741

    64 0.036583 -0.00358 -0.17827

    117 0.036752 -0.00375 -0.1867

    36 0.043902 -0.0039 -0.19416

    114 0.036448 -0.00445 -0.22129

    34 0.037498 -0.0045 -0.2238

    84 0.036956 -0.00496 -0.24658

    5 0.034008 -0.00501 -0.24916

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    81 0.040107 -0.00511 -0.2541

    76 0.038481 -0.00548 -0.27269

    26 0.036617 -0.00562 -0.27947

    29 0.035702 -0.0057 -0.2837

    96 0.045868 -0.00587 -0.29194

    22 0.035024 -0.00602 -0.29974

    127 0.039124 -0.00612 -0.3047224 0.035567 -0.00657 -0.32672

    60 0.034652 -0.00665 -0.33095

    27 0.035838 -0.00684 -0.3402

    45 0.034143 -0.00714 -0.35542

    20 0.039328 -0.00733 -0.36459

    66 0.035736 -0.00774 -0.3849

    3 0.034957 -0.00796 -0.39588

    111 0.037193 -0.00819 -0.40764

    106 0.033771 -0.00877 -0.43638

    78 0.03987 -0.00887 -0.44132

    118 0.037261 -0.00926 -0.46077

    2 0.036278 -0.00928 -0.46163

    1 0.045359 -0.00936 -0.46567

    41 0.0335 -0.0095 -0.47265

    58 0.034719 -0.00972 -0.48359

    116 0.036888 -0.00989 -0.49198

    99 0.034957 -0.00996 -0.49539

    101 0.034957 -0.00996 -0.49539

    18 0.04397 -0.00997 -0.49606

    39 0.034313 -0.01031 -0.51311

    7 0.036549 -0.01055 -0.52487126 0.036075 -0.01107 -0.55102

    95 0.038243 -0.01124 -0.55942

    125 0.035567 -0.01157 -0.57549

    40 0.034855 -0.01185 -0.58984

    86 0.037057 -0.01206 -0.59992

    122 0.043258 -0.01226 -0.60992

    52 0.037295 -0.01229 -0.61172

    13 0.044309 -0.01231 -0.61243

    16 0.038379 -0.01238 -0.61591

    77 0.040582 -0.01258 -0.62599

    102 0.036651 -0.01265 -0.62944109 0.036888 -0.01289 -0.64124

    51 0.040988 -0.01299 -0.64622

    33 0.039124 -0.01312 -0.65301

    119 0.034211 -0.01321 -0.65732

    8 0.036481 -0.01348 -0.67077

    72 0.033974 -0.01497 -0.74502

    44 0.035194 -0.01619 -0.80572

    73 0.039565 -0.01656 -0.82419

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    53 0.037566 -0.01657 -0.82423

    100 0.034618 -0.01662 -0.82681

    67 0.035668 -0.01667 -0.82932

    32 0.034787 -0.01679 -0.83524

    19 0.047426 -0.01843 -0.9168

    69 0.036549 -0.01855 -0.92291

    71 0.032788 -0.01879 -0.9347956 0.034245 -0.02024 -1.00729

    120 0.039836 -0.02084 -1.03669

    103 0.035431 -0.02143 -1.0663

    54 0.036481 -0.02148 -1.0688

    55 0.035736 -0.02374 -1.18098

    70 0.036854 -0.02585 -1.28637

    14 0.05173 -0.02673 -1.32993

    49 0.049053 -0.02705 -1.34601

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    a. Only 6% of the variability in umemployment can be explained by the variability in Cost of

    We cannot reject the hypothesis that the intercept is 0.

    We can reject the hypothesis that the slope is 0.

    b. Residuals seem to satisfy regression assumptions.

    c. There might be 5 outliers.

    -0.04

    -0.02

    0

    0.02

    0.04

    0.06

    0.08

    0.1

    0.12

    0.00 50.00 100.00 150.00 200.00 250.00

    Residua

    ls

    X Variable 1

    X Variable 1 Residual Plot

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    Living.

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    SUMMARY OUTPUT

    Regression Statistics

    Multiple R 0.520424

    R Square 0.270841

    Adjusted R 0.257338

    Standard E 11.1694Observatio 56

    ANOVA

    df SS MS F gnificance F

    Regression 1 2502.334 2502.334 20.05792 3.93E-05

    Residual 54 6736.791 124.7554

    Total 55 9239.125

    Coefficientsandard Err t Stat P-value Lower 95%Upper 95%ower 95.0 pper 95.0%

    Intercept 32.93275 10.75299 3.062658 0.003417 11.37429 54.4912 11.37429 54.4912

    Midterm 0.603699 0.134796 4.478607 3.93E-05 0.333449 0.87395 0.333449 0.87395

    RESIDUAL OUTPUT

    bservatio cted Final Residuals dard Residuals

    13 84.8509 -35.8509 -3.23933

    11 81.2287 -28.2287 -2.55062

    5 78.8139 -20.8139 -1.88065

    24 73.98431 -19.9843 -1.805691 78.8139 -16.8139 -1.51923

    37 76.3991 -15.3991 -1.39139

    28 67.94731 -14.9473 -1.35057

    3 80.625 -12.625 -1.14074

    31 79.4176 -10.4176 -0.94129

    49 87.86939 -9.86939 -0.89175

    52 81.2287 -9.2287 -0.83386

    9 72.77691 -7.77691 -0.70269

    43 90.88789 -6.88789 -0.62236

    7 78.2102 -5.2102 -0.47077

    29 82.4361 -4.4361 -0.40083

    27 92.69899 -3.69899 -0.33422

    38 86.66199 -2.66199 -0.24053

    19 80.625 -2.625 -0.23718

    10 88.47309 -2.47309 -0.22346

    12 85.4546 -2.4546 -0.22179

    4 86.05829 -2.05829 -0.18598

    22 75.7954 -1.7954 -0.16222

    -40

    -30

    -20

    -100

    10

    20

    30

    0

    Residu

    als

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    15 88.47309 -1.47309 -0.1331

    54 75.19171 -0.19171 -0.01732

    14 70.96581 1.03419 0.093445

    20 69.15471 1.845288 0.166732

    26 76.3991 2.600896 0.235005

    41 69.15471 2.845288 0.257088

    8 89.68049 3.319509 0.29993644 83.0398 3.960202 0.357826

    34 75.7954 4.204595 0.379908

    23 69.75841 4.241589 0.383251

    50 77.6065 4.393497 0.396977

    55 85.4546 4.545405 0.410703

    40 84.2472 4.752804 0.429442

    36 90.88789 5.11211 0.461908

    18 88.47309 5.526908 0.499387

    30 76.3991 5.600896 0.506072

    35 76.3991 5.600896 0.506072

    6 72.77691 6.223092 0.562291

    2 83.6435 6.356503 0.574345

    17 74.58801 6.411994 0.579359

    39 89.68049 7.319509 0.661358

    32 90.28419 7.71581 0.697166

    56 87.26569 7.734307 0.698837

    51 90.88789 8.11211 0.732974

    46 88.47309 8.526908 0.770453

    53 70.36211 8.63789 0.780481

    21 73.98431 10.01569 0.904973

    47 81.2287 10.7713 0.97324716 78.2102 10.7898 0.974918

    48 81.2287 11.7713 1.063602

    45 86.05829 12.94171 1.169355

    33 76.3991 16.6009 1.499983

    25 78.8139 18.1861 1.643215

    42 72.77691 20.22309 1.827268

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    a. 27% of the variability in the final grade can be explained by the variability in midterm grade.

    We can reject the hypothesis that the intercept is 0.

    We can reject the hypothesis that the slope is 0.

    b. Residuals seem to satisfy regression assumptions.

    c. There seems to be one outlier.

    20 40 60 80 100 120

    Midterm

    Midterm Residual Plot

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    National Football League Data 2007 Season

    Team Points/Ga Yards/Game

    Arizona C 25.2 344.1

    Atlanta Fa 16.2 301

    Baltimore 17.2 302

    Buffalo Bi 15.8 277.1Carolina 16.7 284.9

    Chicago 20.9 293.2

    Cincinnati 23.8 348

    Cleveland 25.1 351.3

    Dallas Co 28.4 365.7

    Denver Br 20 346.3

    Detroit Li 21.6 322.9

    Green Ba 27.2 370.7

    Houston 23.7 333.6

    Indianapo 28.1 358.7

    Jacksonvi 25.7 357.4 a. Appears to be linear

    Kansas Ci 14.1 276.8

    Miami Dol 16.7 287.5

    Minnesot 22.8 336.2 SUMMARY OUTPUT

    New Engl 36.8 411.2

    New Orlea 23.7 361.2 Regression Statistics

    New York 23.3 331.4 Multiple R 0.8944

    New York 16.8 294.7 R Square 0.799951

    Oakland 17.7 294.8 Adjusted R 0.793282

    Philadelp 21 358.1 Standard E 2.269815

    Pittsburg 24.6 327.4 Observatio 32San Diego 25.8 315.2

    San Franc 13.7 237.3 ANOVA

    Seattle Se 24.6 348.9 df SS MS F

    St. Louis 16.4 297.5 Regression 1 618.0569 618.0569 119.9631

    Tampa Ba 20.9 326.8 Residual 30 154.5618 5.15206

    Tennesse 18.8 311.7 Total 31 772.6188

    Washingt 20.9 333.4

    Coefficientsandard Err t Stat P-value

    Intercept -19.2478 3.75948 -5.11979 1.66E-05

    Yards/Gam 0.125889 0.011494 10.95277 5.27E-12

    RESIDUAL OUTPUT

    Observatio ted Points/ Residuals dard Residuals

    24 25.83314 -4.83314 -2.16451

    10 24.34765 -4.34765 -1.94708

    0

    50

    100

    150

    200

    250300

    350

    400

    450

    0 5 10 15 20

    Points/Game vs.

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    20 26.2234 -2.5234 -1.1301

    2 18.64487 -2.44487 -1.09493

    32 22.72368 -1.82368 -0.81673

    29 18.20426 -1.80426 -0.80803

    3 18.77076 -1.57076 -0.70346

    16 15.59836 -1.49836 -0.67103

    31 19.99189 -1.19189 -0.5337822 17.85177 -1.05177 -0.47103

    30 21.89281 -0.99281 -0.44463

    7 24.56166 -0.76166 -0.34111

    18 23.07617 -0.27617 -0.12368

    17 16.94537 -0.24537 -0.10989

    12 27.41935 -0.21935 -0.09823

    23 17.86436 -0.16436 -0.07361

    28 24.67496 -0.07496 -0.03357

    15 25.74502 -0.04502 -0.02016

    5 16.61806 0.081942 0.036698

    8 24.9771 0.122904 0.055042

    4 15.63612 0.163878 0.073392

    11 21.40184 0.198155 0.088743

    21 22.4719 0.828098 0.370861

    13 22.74886 0.951142 0.425966

    1 24.07069 1.129306 0.505756

    9 26.7899 1.610101 0.721079

    14 25.90868 2.191324 0.981378

    25 21.96835 2.631654 1.178579

    27 10.62573 3.074265 1.376801

    6 17.66294 3.237063 1.44970919 32.51785 4.282145 1.917746

    26 20.4325 5.367502 2.40382

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    Significance F

    5.27168E-12 b. MODEL SIGNIFICANT

    c. Residuals seems fine. No obvious outliers.

    Lower 95% Upper 95%ower 95.0 pper 95.0%

    -26.9256397 -11.5699 -26.9256 -11.5699

    0.102415617 0.149363 0.102416 0.149363

    d. 95% CI

    LL 3.7990 using J37 an

    UL 33.2389 using K37 a

    e. 95% PI

    25 30 35 40

    Yards/Game

    -10

    -5

    0

    5

    10

    0 100 200 300 400Residuals

    Yards/Game

    Yards/Game Residual Plot

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    LL UL

    Intercept 0.2984 (38.7939)

    Slope (0.0020) 0.2537

    Prediction (0.2871) 37.3251

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    d J38

    d K38

    500

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    Pile Foundation Data

    Pile Estimated Actual

    Number Pile Lengt Pile Length (ft.)

    1 10.58 18.58

    2 10.58 18.58

    3 10.58 18.584 10.58 18.58

    5 10.58 28.58

    6 10.58 26.58

    7 10.58 17.58

    8 10.58 27.58

    9 10.58 27.58

    10 10.58 37.58

    11 10.58 28.58

    12 5.83 1.83

    13 5.83 8.83

    14 5.83 8.83

    15 5.83 8.83

    16 10.83 16.83 Regression Statistics

    17 10.83 19.83 Multiple R 0.796928

    18 10.83 18.33 R Square 0.635095

    19 10.83 14.83 Adjusted R 0.633914

    20 21.33 12 Standard E 9.886816

    21 16.33 27 Observatio 311

    22 21.33 42

    23 21.33 46 ANOVA

    24 21.33 46 df SS MS F 25 31.33 57 Regression 1 52569.02 52569.02 537.7953

    26 41.08 55.75 Residual 309 30204.48 97.74913

    27 41.08 55.75 Total 310 82773.5

    28 41.08 55.75

    29 46.33 57 Coefficientsandard Err t Stat P-value

    30 61.33 77 Intercept 11.61438 1.137095 10.21408 2.71E-21

    31 61.33 76 X Variable 0.814189 0.035109 23.19041 1.29E-69

    32 61.33 75

    33 61.33 75

    34 61.33 36

    35 61.33 56.42 RESIDUAL OUTPUT

    36 61.33 45

    37 61.33 45.42 Observatio redicted Y Residuals dard Residuals

    38 61.33 37 1 20.2285 -1.6485 -0.16701

    39 11.33 8 2 20.2285 -1.6485 -0.16701

    40 5.83 2.83 3 20.2285 -1.6485 -0.16701

    41 5.83 2.83 4 20.2285 -1.6485 -0.16701

    42 5.83 2.83 5 20.2285 8.351502 0.846077

    0.00

    10.00

    20.00

    30.00

    40.00

    50.00

    60.00

    70.00

    80.00

    90.00

    0.00 10.00 20.00 30.00 40.0

    Actual PileLength

    Estimated Pile Le

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    43 5.83 2.83 6 20.2285 6.351502 0.64346

    44 15.83 14.83 7 20.2285 -2.6485 -0.26831

    45 15.83 16.83 8 20.2285 7.351502 0.744768

    46 15.83 16.83 9 20.2285 7.351502 0.744768

    47 15.83 16.83 10 20.2285 17.3515 1.757852

    48 11.33 11 11 20.2285 8.351502 0.846077

    49 21.08 42.75 12 16.3611 -14.5311 -1.4721250 21.08 43.17 13 16.3611 -7.5311 -0.76296

    51 21.08 43.17 14 16.3611 -7.5311 -0.76296

    52 21.08 42.75 15 16.3611 -7.5311 -0.76296

    53 21.08 42.75 16 20.43205 -3.60205 -0.36492

    54 41.08 31.75 17 20.43205 -0.60205 -0.06099

    55 41.08 31.75 18 20.43205 -2.10205 -0.21295

    56 41.08 31.75 19 20.43205 -5.60205 -0.56753

    57 41.08 36.75 20 28.98103 -16.981 -1.72032

    58 41.08 44.75 21 24.91009 2.089914 0.211726

    59 61.08 36.75 22 28.98103 13.01897 1.31893

    60 61.08 55.75 23 28.98103 17.01897 1.72416361 61.08 40.17 24 28.98103 17.01897 1.724163

    62 61.08 56.75 25 37.12292 19.87708 2.013713

    63 61.33 26.42 26 45.06127 10.68873 1.082858

    64 61.33 66.00 27 45.06127 10.68873 1.082858

    65 11.33 13.33 28 45.06127 10.68873 1.082858

    66 20.08 38.75 29 49.33576 7.664239 0.776451

    67 20.08 38.75 30 61.5486 15.4514 1.565356

    68 20.08 38.75 31 61.5486 14.4514 1.464047

    69 20.08 38.75 32 61.5486 13.4514 1.362739

    70 20.08 38.75 33 61.5486 13.4514 1.36273971 20.05 38.75 34 61.5486 -25.5486 -2.58829

    72 40.08 54.75 35 61.5486 -5.1286 -0.51957

    73 40.08 25.75 36 61.5486 -16.5486 -1.67651

    74 40.08 25.75 37 61.5486 -16.1286 -1.63396

    75 40.08 54.75 38 61.5486 -24.5486 -2.48698

    76 40.08 23.75 39 20.83914 -12.8391 -1.30071

    77 40.08 73.08 40 16.3611 -13.5311 -1.37081

    78 60.08 57.75 41 16.3611 -13.5311 -1.37081

    79 60.08 56.75 42 16.3611 -13.5311 -1.37081

    80 60.08 57.75 43 16.3611 -13.5311 -1.37081

    81 60.08 58.17 44 24.50299 -9.67299 -0.9799582 61.33 62.00 45 24.50299 -7.67299 -0.77734

    83 8.42 9.09 46 24.50299 -7.67299 -0.77734

    84 20.58 16.25 47 24.50299 -7.67299 -0.77734

    85 20.58 16.25 48 20.83914 -9.83914 -0.99679

    86 20.55 16.25 49 28.77748 13.97252 1.415532

    87 20.58 16.25 50 28.77748 14.39252 1.458082

    88 20.58 16.25 51 28.77748 14.39252 1.458082

    89 20.55 16.25 52 28.77748 13.97252 1.415532

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    90 23.50 29.17 53 28.77748 13.97252 1.415532

    91 20.52 21.19 54 45.06127 -13.3113 -1.34854

    92 20.52 20.19 55 45.06127 -13.3113 -1.34854

    93 20.52 20.19 56 45.06127 -13.3113 -1.34854

    94 20.52 36.19 57 45.06127 -8.31127 -0.842

    95 20.52 26.19 58 45.06127 -0.31127 -0.03153

    96 20.52 22.19 59 61.34505 -24.5951 -2.4916897 38.42 29.51 60 61.34505 -5.59505 -0.56683

    98 35.83 26.51 61 61.34505 -21.1751 -2.14521

    99 35.83 27.09 62 61.34505 -4.59505 -0.46552

    100 35.83 34.51 63 61.5486 -35.1286 -3.55882

    101 35.83 37.09 64 61.5486 4.451402 0.450964

    102 35.83 31.51 65 20.83914 -7.50914 -0.76074

    103 34.75 55.42 66 27.9633 10.7867 1.092783

    104 34.75 28.84 67 27.9633 10.7867 1.092783

    105 4.75 14.42 68 27.9633 10.7867 1.092783

    106 19.75 22.42 69 27.9633 10.7867 1.092783

    107 34.75 42.42 70 27.9633 10.7867 1.092783108 34.75 55.42 71 27.93887 10.81113 1.095258

    109 4.75 14.42 72 44.24708 10.50292 1.064033

    110 17.25 21.92 73 44.24708 -18.4971 -1.87391

    111 17.25 21.92 74 44.24708 -18.4971 -1.87391

    112 17.25 21.92 75 44.24708 10.50292 1.064033

    113 17.25 21.92 76 44.24708 -20.4971 -2.07652

    114 17.25 21.92 77 44.24708 28.83292 2.921015

    115 17.25 21.92 78 60.53086 -2.78086 -0.28172

    116 19.75 22.42 79 60.53086 -3.78086 -0.38303

    117 28.42 32.09 80 60.53086 -2.78086 -0.28172118 28.42 32.09 81 60.53086 -2.36086 -0.23917

    119 28.42 32.09 82 61.5486 0.451402 0.045731

    120 28.42 32.09 83 18.46985 -9.37985 -0.95026

    121 28.42 32.09 84 28.37039 -12.1204 -1.2279

    122 28.42 32.09 85 28.37039 -12.1204 -1.2279

    123 35.92 46.59 86 28.34596 -12.096 -1.22542

    124 40.53 55.51 87 28.37039 -12.1204 -1.2279

    125 40.83 56.51 88 28.37039 -12.1204 -1.2279

    126 40.83 67.09 89 28.34596 -12.096 -1.22542

    127 40.83 57.09 90 30.74782 -1.57782 -0.15985

    128 40.83 67.09 91 28.32154 -7.13154 -0.72248129 53.42 55.09 92 28.32154 -8.13154 -0.82379

    130 50.83 50.34 93 28.32154 -8.13154 -0.82379

    131 50.83 50.34 94 28.32154 7.868461 0.797141

    132 50.83 45.34 95 28.32154 -2.13154 -0.21594

    133 50.83 47.76 96 28.32154 -6.13154 -0.62118

    134 53.42 41.51 97 42.89552 -13.3855 -1.35607

    135 53.42 41.09 98 40.78677 -14.2768 -1.44636

    136 5.58 19.25 99 40.78677 -13.6968 -1.3876

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    137 5.58 19.25 100 40.78677 -6.27677 -0.63589

    138 5.58 19.25 101 40.78677 -3.69677 -0.37451

    139 6.58 19.25 102 40.78677 -9.27677 -0.93981

    140 5.58 19.25 103 39.90745 15.51255 1.57155

    141 5.58 19.25 104 39.90745 -11.0675 -1.12122

    142 20.58 28.25 105 15.48178 -1.06178 -0.10757

    143 20.58 28.25 106 27.69461 -5.27461 -0.53436144 20.55 28.25 107 39.90745 2.51255 0.254542

    145 20.58 28.25 108 39.90745 15.51255 1.57155

    146 20.58 28.25 109 15.48178 -1.06178 -0.10757

    147 20.58 28.25 110 25.65914 -3.73914 -0.37881

    148 28.75 32.42 111 25.65914 -3.73914 -0.37881

    149 28.75 32.42 112 25.65914 -3.73914 -0.37881

    150 28.75 32.42 113 25.65914 -3.73914 -0.37881

    151 28.75 32.42 114 25.65914 -3.73914 -0.37881

    152 28.75 32.42 115 25.65914 -3.73914 -0.37881

    153 28.75 32.42 116 27.69461 -5.27461 -0.53436

    154 39.25 56.92 117 34.75363 -2.66363 -0.26985155 39.25 60.92 118 34.75363 -2.66363 -0.26985

    156 39.25 59.92 119 34.75363 -2.66363 -0.26985

    157 39.25 59.34 120 34.75363 -2.66363 -0.26985

    158 39.25 57.92 121 34.75363 -2.66363 -0.26985

    159 49.75 47.42 122 34.75363 -2.66363 -0.26985

    160 49.75 48.42 123 40.86005 5.729948 0.580491

    161 49.75 48.42 124 44.61346 10.89654 1.10391

    162 49.75 48.42 125 44.85772 11.65228 1.180473

    163 53.42 45.09 126 44.85772 22.23228 2.252315

    164 13.42 22.09 127 44.85772 12.23228 1.239232165 6.97 26.64 128 44.85772 22.23228 2.252315

    166 6.97 26.64 129 55.10836 -0.01836 -0.00186

    167 6.97 26.64 130 52.99961 -2.65961 -0.26944

    168 8.42 22.09 131 52.99961 -2.65961 -0.26944

    169 21.67 29.34 132 52.99961 -7.65961 -0.77598

    170 21.67 29.34 133 52.99961 -5.23961 -0.53082

    171 21.67 29.34 134 55.10836 -13.5984 -1.37763

    172 28.42 37.09 135 55.10836 -14.0184 -1.42018

    173 31.67 34.34 136 16.15755 3.092447 0.313291

    174 31.67 35.34 137 16.15755 3.092447 0.313291

    175 31.67 29.34 138 16.15755 3.092447 0.313291176 38.42 59.09 139 16.97174 2.278258 0.230807

    177 41.67 61.34 140 16.15755 3.092447 0.313291

    178 41.67 60.34 141 16.15755 3.092447 0.313291

    179 41.67 61.34 142 28.37039 -0.12039 -0.0122

    180 53.42 49.09 143 28.37039 -0.12039 -0.0122

    181 13.42 11.59 144 28.34596 -0.09596 -0.00972

    182 13.42 14.09 145 28.37039 -0.12039 -0.0122

    183 10.83 26.50 146 28.37039 -0.12039 -0.0122

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    184 10.83 24.50 147 28.37039 -0.12039 -0.0122

    185 10.83 33.92 148 35.02232 -2.60232 -0.26364

    186 10.83 32.92 149 35.02232 -2.60232 -0.26364

    187 10.83 16.09 150 35.02232 -2.60232 -0.26364

    188 15.42 18.51 151 35.02232 -2.60232 -0.26364

    189 15.42 28.09 152 35.02232 -2.60232 -0.26364

    190 15.42 29.09 153 35.02232 -2.60232 -0.26364191 15.42 29.09 154 43.5713 13.3487 1.352334

    192 9.42 14.09 155 43.5713 17.3487 1.757568

    193 9.42 14.09 156 43.5713 16.3487 1.656259

    194 9.42 14.09 157 43.5713 15.7687 1.5975

    195 9.42 14.09 158 43.5713 14.3487 1.453643

    196 9.42 14.09 159 52.12029 -4.70029 -0.47618

    197 10.58 23.25 160 52.12029 -3.70029 -0.37487

    198 10.58 23.25 161 52.12029 -3.70029 -0.37487

    199 10.55 23.25 162 52.12029 -3.70029 -0.37487

    200 10.58 23.25 163 55.10836 -10.0184 -1.01494

    201 10.58 23.25 164 22.5408 -0.4508 -0.04567202 10.55 26.25 165 17.28928 9.350724 0.947306

    203 20.55 29.25 166 17.28928 9.350724 0.947306

    204 20.55 31.25 167 17.28928 9.350724 0.947306

    205 20.58 30.25 168 18.46985 3.62015 0.366751

    206 20.55 31.25 169 29.25786 0.082144 0.008322

    207 20.58 31.25 170 29.25786 0.082144 0.008322

    208 20.55 32.25 171 29.25786 0.082144 0.008322

    209 30.58 31.25 172 34.75363 2.336367 0.236693

    210 30.55 32.25 173 37.39975 -3.05975 -0.30998

    211 30.58 31.25 174 37.39975 -2.05975 -0.20867212 30.58 32.25 175 37.39975 -8.05975 -0.81652

    213 30.58 31.25 176 42.89552 16.19448 1.640635

    214 30.55 29.25 177 45.54164 15.79836 1.600506

    215 40.83 61.50 178 45.54164 14.79836 1.499197

    216 40.83 61.50 179 45.54164 15.79836 1.600506

    217 40.83 58.50 180 55.10836 -6.01836 -0.60971

    218 40.83 57.92 181 22.5408 -10.9508 -1.10941

    219 40.83 57.50 182 22.5408 -8.4508 -0.85614

    220 50.83 51.50 183 20.43205 6.067954 0.614734

    221 50.83 51.50 184 20.43205 4.067954 0.412118

    222 50.83 49.50 185 20.43205 13.48795 1.366442223 50.83 48.50 186 20.43205 12.48795 1.265134

    224 63.42 49.09 187 20.43205 -4.34205 -0.43989

    225 53.42 52.09 188 24.16917 -5.65917 -0.57332

    226 22.58 23.25 189 24.16917 3.920826 0.397212

    227 22.58 21.25 190 24.16917 4.920826 0.498521

    228 20.83 22.50 191 24.16917 4.920826 0.498521

    229 20.83 22.50 192 19.28404 -5.19404 -0.5262

    230 20.83 27.50 193 19.28404 -5.19404 -0.5262

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    278 25.42 31.69 241 20.43205 -5.93205 -0.60097

    279 26.67 27.34 242 20.43205 -2.93205 -0.29704

    280 26.67 32.34 243 20.43205 -5.93205 -0.60097

    281 26.67 26.76 244 20.43205 -5.93205 -0.60097

    282 23.42 10.51 245 21.11596 -3.61596 -0.36633

    283 11.67 18.34 246 21.11596 -3.61596 -0.36633

    284 11.67 18.34 247 21.11596 -3.61596 -0.36633285 11.67 18.34 248 21.11596 -3.61596 -0.36633

    286 13.42 8.09 249 28.57394 -2.07394 -0.21011

    287 11.67 22.34 250 28.57394 2.926063 0.296435

    288 11.67 21.34 251 28.57394 -0.07394 -0.00749

    289 11.67 21.34 252 28.57394 -2.07394 -0.21011

    290 13.42 16.09 253 32.64488 1.855117 0.187939

    291 21.67 29.34 254 32.64488 1.855117 0.187939

    292 21.67 30.34 255 32.64488 1.855117 0.187939

    293 21.67 30.34 256 32.64488 1.855117 0.187939

    294 28.42 31.09 257 36.71583 -6.79583 -0.68847

    295 26.67 24.34 258 36.71583 -5.79583 -0.58717296 26.67 35.34 259 36.71583 -5.21583 -0.52841

    297 26.67 35.34 260 36.71583 -2.21583 -0.22448

    298 28.42 37.09 261 44.85772 21.64228 2.192543

    299 31.67 37.34 262 44.85772 24.64228 2.496468

    300 31.67 37.34 263 44.85772 23.64228 2.39516

    301 31.67 39.76 264 44.61346 21.88654 2.217288

    302 38.42 63.09 265 52.99961 0.340388 0.034484

    303 41.67 67.34 266 52.99961 1.340388 0.135792

    304 41.67 67.34 267 52.99961 8.760388 0.8875

    305 41.67 67.34 268 52.99961 -1.65961 -0.16813306 53.42 64.09 269 55.10836 -3.01836 -0.30579

    307 51.67 51.34 270 55.10836 -3.01836 -0.30579

    308 51.67 50.76 271 55.10836 -3.01836 -0.30579

    309 51.67 46.34 272 29.99877 8.251232 0.835919

    310 53.42 50.09 273 29.99877 13.25123 1.34246

    311 53.42 49.09 274 29.99877 20.25123 2.051618

    275 28.57394 0.926063 0.093818

    276 28.57394 0.926063 0.093818

    277 28.57394 9.426063 0.954939

    278 32.31107 -0.62107 -0.06292

    279 33.3288 -5.9888 -0.60672280 33.3288 -0.9888 -0.10017

    281 33.3288 -6.5688 -0.66547

    282 30.68269 -20.1727 -2.04366

    283 21.11596 -2.77596 -0.28123

    284 21.11596 -2.77596 -0.28123

    285 21.11596 -2.77596 -0.28123

    286 22.5408 -14.4508 -1.46399

    287 21.11596 1.224035 0.124005

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    288 21.11596 0.224035 0.022697

    289 21.11596 0.224035 0.022697

    290 22.5408 -6.4508 -0.65352

    291 29.25786 0.082144 0.008322

    292 29.25786 1.082144 0.10963

    293 29.25786 1.082144 0.10963

    294 34.75363 -3.66363 -0.37116295 33.3288 -8.9888 -0.91064

    296 33.3288 2.011198 0.203751

    297 33.3288 2.011198 0.203751

    298 34.75363 2.336367 0.236693

    299 37.39975 -0.05975 -0.00605

    300 37.39975 -0.05975 -0.00605

    301 37.39975 2.360252 0.239113

    302 42.89552 20.19448 2.045869

    303 45.54164 21.79836 2.208356

    304 45.54164 21.79836 2.208356

    305 45.54164 21.79836 2.208356

    306 55.10836 8.981638 0.909915

    307 53.68353 -2.34353 -0.23742

    308 53.68353 -2.92353 -0.29618

    309 53.68353 -7.34353 -0.74396

    310 55.10836 -5.01836 -0.5084

    311 55.10836 -6.01836 -0.60971

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    gnificance F1.29E-69

    Lower 95%Upper 95%ower 95.0 pper 95.0%

    9.376949 13.85181 9.376949 13.85181

    0.745106 0.883272 0.745106 0.883272

    Based on the regression results, the model and all its parameters appear to be significant

    50.00 60.00 70.00

    ngth

    -40

    -20

    0

    20

    40

    0.00 20.00 40.00 60.00 80.00Residuals

    X Variable 1

    X Variable 1 Residual Plot

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    Concert Sales SUMMARY OUTPUT

    ThousandThousands of

    Sales ($10Radio&TV Newspaper ads Regression Statistics

    $1,119.00 0 40 Multiple R 0.696608

    $973.00 0 40 R Square 0.485263

    $875.00 25 25 Adjusted R 0.459526

    $625.00 25 25 Standard E 254.0524$910.00 30 30 Observatio 22

    $971.00 30 30

    $931.00 35 35 ANOVA

    $1,177.00 35 35 df SS MS F

    $882.00 40 25 Regression 1 1216940 1216940 18.85482

    $982.00 40 25 Residual 20 1290853 64542.65

    $1,628.00 45 45 Total 21 2507793

    $1,577.00 45 45

    $1,044.00 50 50 Coefficientsandard Err t Stat P-value

    $914.00 50 50 Intercept 699.9572 132.5218 5.281828 3.61E-05

    $1,329.00 55 20 Radio&TV 12.16204 2.800886 4.342213 0.000316

    $1,330.00 55 20

    $1,405.00 60 30

    $1,436.00 60 30 SUMMARY OUTPUT (MODEL 2)

    $1,521.00 65 35

    $1,741.00 65 35 Regression Statistics

    $1,866.00 70 40 Multiple R 0.264272

    $1,717.00 70 40 R Square 0.06984

    Adjusted R 0.023332

    Standard E 341.515

    Observatio 22

    ANOVA

    df SS MS F

    Regression 1 175143.3 175143.3 1.501669

    Residual 20 2332649 116632.5

    Total 21 2507793

    Coefficientsandard Err t Stat P-value

    Intercept 877.2432 293.084 2.993146 0.007186

    Newspape 10.20486 8.327607 1.225426 0.23465

    SUMMARY OUTPUT

    Regression Statistics

    Multiple R 0.73781

    R Square 0.544363

    Adjusted R 0.496401

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    Standard E 245.2327

    Observatio 22

    ANOVA

    df SS MS F

    Regression 2 1365150 682574.9 11.34994

    Residual 19 1142643 60139.1Total 21 2507793

    Coefficientsandard Err t Stat P-value

    Intercept 385.3814 237.7349 1.621055 0.121484

    Radio&TV 12.03232 2.704913 4.448322 0.000276

    Newspape 9.39187 5.982624 1.569858 0.132952

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    MODEL 1 (Sales as a function of Radio&TV ads is the be

    Here are the residual related results.

    RESIDUAL OUTPUT

    Observatio ted Sales ( Residuals dard Resid

    14 1308.059 -394.059 -1.58944 1004.008 -379.008 -1.52869

    9 1186.439 -304.439 -1.22792

    13 1308.059 -264.059 -1.06506

    gnificance F 10 1186.439 -204.439 -0.82458

    0.000316 7 1125.629 -194.629 -0.78502

    5 1064.819 -154.819 -0.62444

    3 1004.008 -129.008 -0.52034

    6 1064.819 -93.8185 -0.37841

    Lower 95%Upper 95%ower 95.0 pper 95.0% 15 1368.87 -39.8696 -0.16081

    423.5216 976.3927 423.5216 976.3927 16 1368.87 -38.8696 -0.15678

    6.319498 18.00459 6.319498 18.00459 17 1429.68 -24.6798 -0.09954

    18 1429.68 6.320166 0.025492

    19 1490.49 30.50994 0.123059

    8 1125.629 51.37127 0.207201

    22 1551.3 165.6997 0.668333

    20 1490.49 250.5099 1.010407

    2 699.9572 273.0428 1.101291

    21 1551.3 314.6997 1.26931

    12 1247.249 329.7508 1.330017

    11 1247.249 380.7508 1.53572

    1 699.9572 419.0428 1.690167

    gnificance F

    0.23465

    Lower 95%Upper 95%ower 95.0 pper 95.0%

    265.8807 1488.606 265.8807 1488.606

    -7.16622 27.57595 -7.16622 27.57595

    Residuals appear to be random and there appears to b

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    gnificance F

    0.000571

    Lower 95%Upper 95%ower 95.0 pper 95.0%

    -112.204 882.9664 -112.204 882.9664

    6.370875 17.69377 6.370875 17.69377

    -3.1299 21.91365 -3.1299 21.91365

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    st mdoel)

    als

    no outliers.

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    SUMMARY OUTPUT

    Regression Statistics

    Multiple R 0.745495

    R Square 0.555762

    Adjusted R Square 0.532981

    Standard Error 7211.848Observations 42

    ANOVA

    df SS MS F ignificance F

    Regression 2 2537650171 1268825085 24.39544 1.34E-07

    Residual 39 2028419591 52010758.7

    Total 41 4566069762

    Coefficients tandard Erro t Stat P-value Lower 95% Upper 95% ower 95.0

    Intercept 47331.38 13884.3466 3.40897435 0.001528 19247.64 75415.12 19247.64

    House Age -825.1612 607.312842 -1.3587087 0.182046 -2053.567 403.2449 -2053.57

    Square Feet 40.91107 6.69652399 6.10929917 3.65E-07 27.36607 54.45607 27.36607

    Delete House Age

    SUMMARY OUTPUT

    Regression Statistics

    Multiple R 0.731255

    R Square 0.534734

    Adjusted R Square 0.523103Standard Error 7287.723

    Observations 42

    ANOVA

    df SS MS F ignificance F

    Regression 1 2441633669 2441633669 45.97236 3.8E-08

    Residual 40 2124436093 53110902.3

    Total 41 4566069762

    Coefficients tandard Erro t Stat P-value Lower 95% Upper 95%Intercept 32673.22 8831.95074 3.69943412 0.00065 14823.18 50523.26

    Square Feet 35.03637 5.16738385 6.78029223 3.8E-08 24.5927 45.48004

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    pper 95.0%

    75415.12

    403.2449

    54.45607

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    Cereal Data

    Product Cereal Na Manufact Calories Carbs Sugars Fiber Sodium

    1 100% BranNabisco 70 5 6 10 130

    2 AlI-Bran Kellogg 70 7 5 9 260

    3 All-Bran w/ Kellogg 50 8 0 14 140

    4 Almond DeRalston Pu 110 14 8 1 2005 Apple Cinn General Mi 110 10.50 10 1.50 180

    6 Apple JackKellogg 110 11 14 1 125

    7 Basic 4 General Mi 130 18 8 2 210

    8 Bran Chex Ralston Pu 90 15 6 4 200

    9 Bran Flake Post 90 13 5 5 210

    10 Cap'n'CrunQuaker 120 12 12 0 220

    11 Cheerios General Mi 110 17 1 2 290

    12 Cinnamon General Mi 120 13 9 0 210

    13 Clusters General Mi 110 13 7 2 140

    14 Cocoa Puf General Mi 110 12 13 0 180

    15 Corn Chex Ralston Pu 110 22 3 0 280

    16 Corn FlakeKellogg 100 21 2 1 290

    17 Corn Pops Kellogg 110 13 12 1 90

    18 Count Cho General Mi 110 12 13 0 180

    19 Cracklin' OKellogg 110 10 7 4 140

    20 Cream of Nabisco 100 21 0 1 80

    21 Crispix Kellogg 110 21 3 1 220

    22 Crispy Wh General Mi 100 11 10 2 140

    23 Double Ch Ralston Pu 100 18 5 1 190

    24 Froot Loop Kellogg 110 11 13 1 125

    25 Frosted Fl Kellogg 110 14 11 1 20026 Frosted Mi Kellogg 100 14 7 3 0

    27 Fruit & Fib Post 120 12 10 5 160

    28 Fruitful BraKellogg 120 14 12 5 240

    29 Fruity Peb Post 110 13 12 0 135

    30 Golden Gr General Mi 110 15 9 0 280

    31 Grape Nut Post 100 15 5 3 140

    32 Grape-Nut Post 110 17 3 3 170

    33 Great Grai Post 120 13 4 3 75

    34 Honey Co Post 110 14 11 0 180

    35 Honey Gra Quaker 120 12 11 1 22036 Honey Nut General Mi 110 11.50 10 1.50 250

    37 Just Right Kellogg 110 17 6 1 170

    38 Just Right Kellogg 140 20 9 2 170

    39 Kix General Mi 110 21 3 0 260

    40 Life Quaker 100 12 6 2 150

    41 Lucky Cha General Mi 110 12 12 0 180

    42 Mueslix CriKellogg 160 17 13 3 150

    43 Multi-Grain General Mi 100 15 6 2 220

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    44 Nut & Hon Kellogg 120 15 9 0 190

    45 Oatmeal R General Mi 130 13.50 10 1.50 170

    46 Post Nat. Post 120 11 14 6 200

    47 Product 19 Kellogg 100 20 3 1 320

    48 Puffed Ric Quaker 50 13 0 0 0

    49 Puffed Wh Quaker 50 10 0 1 0

    50 Quaker OaQuaker 100 14 6 2 13551 Raisin Bra Kellogg 120 14 12 5 210

    52 Raisin Squ Kellogg 90 15 6 2 0

    53 Rice Chex Ralston Pu 110 23 2 0 240

    54 Rice Krispi Kellogg 110 22 3 0 290

    55 Shrdded Nabisco 90 20 0 3 0

    56 Shredded Nabisco 80 16 0 3 0

    57 Shredded Nabisco 90 19 0 4 0

    58 Smacks Kellogg 110 9 15 1 70

    59 Special K Kellogg 110 16 3 1 230

    60 Strawberry Nabisco 90 15 5 3 15

    61 Total Corn General Mi 110 21 3 0 200

    62 Total Raisi General Mi 140 15 14 4 190

    63 Total Whol General Mi 100 16 3 3 200

    64 Trix General Mi 110 13 12 0 140

    65 Wheat Ch Ralston Pu 100 17 3 3 230

    66 Wheaties General Mi 100 17 3 3 200

    67 Wheaties General Mi 110 18 8 1 200

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    SUMMARY OUTPUT

    Regression Statistics

    Multiple R 0.861579

    R Square 0.742318

    Adjusted R 0.725694

    Standard E 9.831507Observatio 67

    ANOVA

    df SS MS F gnificance F

    Regression 4 17263.89 4315.972 44.65175 1.33E-17

    Residual 62 5992.829 96.65853

    Total 66 23256.72

    Coefficientsandard Err t Stat P-value Lower 95%Upper 95%ower 95.0 pper 95.0%

    Intercept 21.89118 8.966534 2.441432 0.017497 3.967337 39.81503 3.967337 39.81503

    Sodium 0.024335 0.016273 1.495425 0.139876 -0.00819 0.056865 -0.00819 0.056865

    Fiber 0.659166 0.600095 1.098436 0.276262 -0.54041 1.858739 -0.54041 1.858739 eliminate

    Carbs 3.433356 0.462253 7.427441 3.9E-10 2.509326 4.357387 2.509326 4.357387

    Sugars 3.941236 0.363099 10.85444 5.71E-16 3.215411 4.667061 3.215411 4.667061

    SUMMARY OUTPUT

    Regression Statistics

    Multiple R 0.858664

    R Square 0.737304Adjusted R 0.724794

    Standard E 9.847611

    Observatio 67

    ANOVA

    df SS MS F gnificance F

    Regression 3 17147.26 5715.754 58.94022 2.86E-18

    Residual 63 6109.453 96.97545

    Total 66 23256.72

    Coefficientsandard Err t Stat P-value Lower 95%Upper 95%ower 95.0 pper 95.0%

    Intercept 28.50359 6.656205 4.282259 6.43E-05 15.20223 41.80496 15.20223 41.80496

    Sodium 0.026815 0.016142 1.661184 0.101646 -0.00544 0.059073 -0.00544 0.059073 eliminate

    Carbs 3.141084 0.378612 8.296309 1.08E-11 2.384488 3.89768 2.384488 3.89768

    Sugars 3.758706 0.323372 11.62348 2.56E-17 3.112499 4.404913 3.112499 4.404913

    SUMMARY OUTPUT BEST MODEL The model and the parameters are significant

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    The variability explained by the model is high

    Regression Statistics

    Multiple R 0.851937

    R Square 0.725797

    Adjusted R 0.717228

    Standard E 9.982062

    Observatio 67

    ANOVA

    df SS MS F gnificance F

    Regression 2 16879.66 8439.828 84.70188 1.04E-18

    Residual 64 6377.06 99.64156

    Total 66 23256.72

    Coefficientsandard Err t Stat P-value Lower 95%Upper 95%ower 95.0 pper 95.0%

    Intercept 28.7602 6.745266 4.26376 6.75E-05 15.28498 42.23541 15.28498 42.23541

    Carbs 3.358327 0.36016 9.32453 1.54E-13 2.638824 4.07783 2.638824 4.07783

    Sugars 3.905585 0.315296 12.38704 1.18E-18 3.275708 4.535461 3.275708 4.535461

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    $23,100 $11,250 13 12

    $25,500 $11,400 9 12

    $17,100 $10,200 0 8

    $68,125 $32,490 29 18

    $30,600 $15,750 460 12

    $52,125 $27,480 221 19

    $61,875 $36,750 199 19$21,300 $11,550 24 8

    $19,650 $11,250 5 12

    $22,350 $11,250 5 12

    $23,400 $11,250 18 12

    $24,300 $10,950 8 12

    $28,500 $11,250 4 12

    $19,950 $11,250 8 12

    $23,400 $11,250 0 12

    $34,500 $17,250 3 16

    $18,150 $10,950 0 12

    $21,750 $12,450 318 8

    $59,400 $33,750 272 12

    $24,450 $14,250 117 12

    $103,500 $60,000 150 16

    $35,700 $16,500 72 12

    $22,200 $16,500 7 12

    $22,950 $13,950 22 15

    $23,100 $12,000 228 12

    $56,750 $30,000 15 16

    $29,100 $12,750 375 17

    $37,650 $15,750 132 12$27,900 $13,500 32 12

    $21,150 $12,000 159 8

    $31,200 $15,750 155 12

    $20,550 $11,250 154 12

    $20,700 $11,250 2 12

    $21,300 $11,250 3 12

    $24,300 $15,000 121 12

    $19,650 $13,950 133 12

    $60,000 $32,490 17 17

    $30,300 $15,750 55 15

    $61,250 $33,000 9 19

    $36,000 $19,500 21 19

    $25,200 $18,750 344 8

    $30,750 $15,000 56 12

    $33,540 $15,750 47 12

    $34,950 $20,250 55 16

    $40,350 $16,500 80 15

    $30,270 $15,750 80 12

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    $26,250 $16,050 264 8

    $32,400 $15,000 64 15

    $20,400 $11,250 0 12

    $24,150 $12,750 96 8

    $23,850 $13,500 122 15

    $29,700 $13,500 26 12

    $21,600 $13,500 228 8$24,450 $15,750 87 12

    $28,050 $16,500 84 15

    $100,000 $44,100 128 16

    $49,000 $20,550 86 15

    $16,350 $10,200 163 12

    $70,000 $21,750 19 16

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    SUMMARY OUTPUT

    Regression Statistics

    Multiple R 0.89616

    R Square 0.803102

    Adjusted R 0.796949

    Standard E 7790.875

    Observatio 100

    ANOVA

    df SS MS F gnificance F

    Regression 3 2.38E+10 7.92E+09 130.5208 9.41E-34

    Residual 96 5.83E+09 60697728Total 99 2.96E+10

    Coefficientsandard Err t Stat P-value Lower 95%Upper 95%ower 95.0 pper 95.0%

    Intercept -4139.24 4203.358 -0.98475 0.327225 -12482.8 4204.362 -12482.8 4204.362 eliminate

    Beginning 1.730242 0.113811 15.20279 2.67E-27 1.504329 1.956154 1.504329 1.956154

    Previous E -10.9071 7.770951 -1.40357 0.163672 -26.3323 4.518108 -26.3323 4.518108

    Education 719.1221 351.7339 2.044506 0.043641 20.93581 1417.308 20.93581 1417.308

    SUMMARY OUTPUT BEST MODEL

    Regression Statistics

    Multiple R 0.979161

    R Square 0.958756

    Adjusted R 0.947597

    Standard E 7789.659

    Observatio 100

    ANOVA

    df SS MS F gnificance F

    Regression 3 1.37E+11 4.56E+10 751.6261 1.65E-66

    Residual 97 5.89E+09 60678782

    Total 100 1.43E+11

    Coefficientsandard Err t Stat P-value Lower 95%Upper 95%ower 95.0 pper 95.0%

    Intercept 0 #N/A #N/A #N/A #N/A #N/A #N/A #N/A

    Beginning 1.752846 0.111454 15.72701 1.96E-28 1.53164 1.974052 1.53164 1.974052

    Previous E -13.6794 7.241945 -1.88891 0.061891 -28.0527 0.693861 -28.0527 0.693861

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    Education 407.8616 154.2768 2.643699 0.009564 101.6648 714.0584 101.6648 714.0584

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    Credit Approval Decisions

    Homeowner Credit Score Years of Credit History Revolving Balance

    Y 725 20 11,320$

    Y 573 9 7,200$

    Y 677 11 20,000$

    Y 625 15 12,800$Y 527 12 5,700$

    Y 795 22 9,000$

    Y 733 7 35,200$

    N 620 5 22,800$

    N 591 17 16,500$

    N 660 24 9,200$

    Y 700 19 22,000$

    Y 500 16 12,500$

    Y 565 6 7,700$

    Y 620 3 37,400$

    Y 774 13 6,100$

    Y 802 10 10,500$

    Y 640 7 17,300$

    Y 523 14 27,000$

    Y 811 20 13,400$

    N 763 2 11,200$

    Y 555 4 2,500$

    Y 617 9 8,400$

    Y 642 13 16,000$

    Y 688 3 3,300$

    Y 649 12 7,500$N 695 15 20,300$

    N 701 9 11,700$

    Y 635 7 29,100$

    N 507 2 2,000$

    N 677 12 7,600$

    N 485 5 1,000$

    N 582 3 8,500$

    Y 699 17 12,800$

    N 703 22 10,000$

    N 585 18 31,000$N 620 8 16,200$

    Y 695 16 9,700$

    N 774 13 6,100$

    N 802 10 10,500$

    Y 640 7 17,300$

    N 536 14 27,000$

    Y 801 20 13,400$

    N 760 2 11,200$

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    N 567 4 2,200$

    N 600 10 12,050$

    N 702 11 11,700$

    N 636 8 29,100$

    N 509 3 2,000$

    Y 595 18 29,000$

    N 733 15 13,000$

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    Revolving Utilization Decision

    25% Approve SUMMARY OUTPUT

    70% Approve

    55% Approve Regression Statistics

    65% Approve Multiple R 0.81525575% Approve R Square 0.664641

    12% Approve Adjusted R 0.642769

    20% Approve Standard E 53.80668

    62% Reject Observatio 50

    50% Reject

    35% Approve ANOVA

    18% Approve df SS MS F

    83% Approve Regression 3 263940.8 87980.26 30.38875

    70% Approve Residual 46 133177.3 2895.159

    87% Approve Total 49 397118.1

    7% Approve

    5% Approve Coefficientsandard Err t Stat P-value

    59% Approve Intercept 771.8923 26.91241 28.68165 5.37E-31

    79% Approve eliminate Years of C -2.09848 1.490347 -1.40805 0.165839

    3% Approve Revolving 0.001565 0.000887 1.764622 0.084266

    70% Approve Revolving -246.228 27.93194 -8.81527 1.91E-11

    100% Approve

    34% Approve

    25% Approve SUMMARY OUTPUT

    11% Approve

    5% Approve Regression Statistics22% Reject Multiple R 0.806341

    15% Reject R Square 0.650187

    85% Reject Adjusted R 0.635301

    100% Reject Standard E 54.36622

    9% Reject Observatio 50

    80% Reject

    65% Reject ANOVA

    27% Reject df SS MS F

    20% Reject Regression 2 258200.8 129100.4 43.67867

    78% Reject Residual 47 138917.2 2955.68655% Reject Total 49 397118.1

    11% Reject

    7% Reject Coefficientsandard Err t Stat P-value

    5% Reject Intercept 742.6533 17.29729 42.93467 2.31E-39

    59% Reject eliminate Revolving 0.001274 0.000872 1.461664 0.150488

    79% Reject Revolving -225.931 24.17379 -9.34611 2.71E-12

    3% Reject

    70% Reject

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    95% Reject SUMMARY OUTPUT BEST MODEL

    81% Reject

    15% Reject Regression Statistics

    85% Reject Multiple R 0.79642

    100% Reject R Square 0.634285

    78% Reject Adjusted R 0.626666

    24% Reject Standard E 55.00605Observatio 50

    ANOVA

    df SS MS F

    Regression 1 251886.1 251886.1 83.24982

    Residual 48 145232 3025.666

    Total 49 397118.1

    Coefficientsandard Err t Stat P-value

    Intercept 757.9223 13.94888 54.33572 9.12E-45

    Revolving -220.732 24.1921 -9.12413 4.66E-12

    Since there is only one variable left in the final model, multi colline

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    gnificance F

    5.53E-11

    Lower 95%Upper 95%ower 95.0 pper 95.0%

    717.7204 826.0641 717.7204 826.0641

    -5.09839 0.901431 -5.09839 0.901431

    -0.00022 0.003351 -0.00022 0.003351

    -302.452 -190.004 -302.452 -190.004

    gnificance F

    1.91E-11

    Lower 95%Upper 95%ower 95.0 pper 95.0%

    707.8557 777.451 707.8557 777.451

    -0.00048 0.003027 -0.00048 0.003027

    -274.562 -177.299 -274.562 -177.299

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    Freshman College Data

    College Year Avg ACT HS GPA Avg SAT % top 10 % top 20 1st year retention rate

    Liberal Art 2007 21.90 3.075 1041.00 10.70% 19.70% 67.65%

    Liberal Art 2008 21.91 3.170 1036.44 13.45% 30.57% 67.10%

    Liberal Art 2009 21.80 3.179 1037.90 13.70% 27.50% 68.80%

    Liberal Art 2010 22.01 3.190 1061.37 14.43% 29.49% 72.00%Music 2007 23.80 3.281 1133.20 18.20% 37.70% 76.43%

    Music 2008 24.03 3.401 1135.67 17.58% 41.76% 78.80%

    Music 2009 24.10 3.477 1148.90 32.60% 53.90% 87.70%

    Music 2010 25.54 3.494 1162.25 31.53% 53.15% 86.60%

    Education 2007 20.70 2.997 993.00 1.80% 17.50% 70.18%

    Education 2008 21.27 3.184 973.28 10.96% 23.29% 67.00%

    Education 2009 21.50 3.199 1015.50 12.70% 31.00% 75.90%

    Education 2010 20.81 3.004 986.14 8.40% 20.00% 67.50%

    Engineerin 2007 26.60 3.516 1200.00 33.50% 62.00% 74.17%

    Engineerin 2008 26.47 3.603 1195.52 42.07% 63.79% 85.40%

    Engineerin 2009 26.30 3.565 1200.50 33.70% 60.50% 82.70%

    Engineerin 2010 26.23 3.535 1206.09 31.45% 56.40% 84.90%

    Business 2007 22.70 3.197 1064.90 8.90% 19.10% 64.33%

    Business 2008 22.94 3.346 1075.42 15.90% 33.47% 79.10%

    Business 2009 22.70 3.199 1065.90 9.60% 22.90% 76.90%

    Business 2010 22.94 3.237 1077.93 11.65% 24.92% 76.70%

    Architectu 2007 26.10 3.574 1211.50 36.00% 68.40% 91.45%

    Architectu 2008 26.30 3.601 1193.11 40.46% 65.32% 89.90%

    Architectu 2009 26.00 3.617 1194.60 36.30% 67.40% 88.50% eliminate

    Architectu 2010 26.25 3.637 1200.57 33.45% 62.72% 85.80%

    North Cen 2007 19.00 2.623 901.00 2.90% 6.69% 59.88%North Cen 2008 19.06 2.542 923.81 1.81% 8.46% 65.10%

    North Cen 2009 19.00 2.603 924.00 1.80% 6.00% 65.70%

    North Cen 2010 19.22 2.671 920.23 3.17% 10.32% 63.20%

    Nursing 2007 21.60 3.278 1025.40 21.10% 36.80% 72.55%

    Nursing 2008 21.90 3.329 1010.68 14.63% 21.95% 76.40%

    Nursing 2009 22.70 3.402 1003.40 20.40% 37.00% 80.00%

    Nursing 2010 22.12 3.347 1019.42 17.58% 41.76% 73.50%

    Vocational 2007 21.00 2.856 1014.90 6.70% 16.30% 66.30%

    Vocational 2008 21.06 2.905 1013.24 5.44% 16.33% 67.70%

    Vocational 2009 21.10 2.839 1013.30 5.90% 14.10% 73.10%Vocational 2010 18.99 2.527 936.06 1.55% 5.17% 67.00%

    South Cen 2007 19.50 2.718 932.00 2.50% 15.00% 59.88%

    South Cen 2008 19.62 2.704 897.24 5.39% 14.22% 63.60%

    South Cen 2009 19.00 2.738 924.80 5.20% 14.20% 66.90%

    South Cen 2010 19.43 2.689 961.07 4.35% 13.04% 61.80%

    Health Sci 2007 21.20 3.084 956.50 13.80% 34.50% 72.55%

    Health Sci 2008 20.97 3.188 970.00 23.33% 43.33% 52.50%

    Health Sci 2009 22.00 3.211 996.20 8.60% 20.70% 75.40%

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    Health Sci 2010 21.61 3.339 980.87 7.79% 31.17% 72.50%

    eliminate

    eliminate

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    eliminate

    Check colli

    0.016338None exist

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    SUMMARY OUTPUT

    Regression Statistics

    Multiple R 0.868009R Square 0.75344

    Adjusted R 0.713457

    Standard E 0.048811

    Observatio 44

    ANOVA

    df SS MS F gnificance F

    Regression 6 0.269378 0.044896 18.8441 6.61E-10

    Residual 37 0.088153 0.002383

    Total 43 0.357531

    Coefficientsandard Err t Stat P-value Lower 95%Upper 95%ower 95.0 pper 95.0%

    Intercept -25.3751 13.28663 -1.90982 0.063932 -52.2964 1.546191 -52.2964 1.546191

    Year 0.012612 0.006619 1.905444 0.064516 -0.0008 0.026024 -0.0008 0.026024

    Avg ACT 0.014888 0.021465 0.693569 0.492284 -0.02861 0.05838 -0.02861 0.05838

    Avg SAT 0.000265 0.000381 0.694769 0.49154 -0.00051 0.001038 -0.00051 0.001038

    HS GPA 0.054941 0.068562 0.801341 0.428051 -0.08398 0.193861 -0.08398 0.193861

    % top 10% 0.12248 0.294705 0.415603 0.680101 -0.47465 0.71961 -0.47465 0.71961

    % top 20% -0.08111 0.203988 -0.39761 0.693204 -0.49443 0.332212 -0.49443 0.332212

    SUMMARY OUTPUT

    Regression Statistics

    Multiple R 0.867402

    R Square 0.752386

    Adjusted R 0.719805

    Standard E 0.048267

    Observatio 44

    ANOVAdf SS MS F gnificance F

    Regression 5 0.269001 0.0538 23.09294 1.39E-10

    Residual 38 0.08853 0.00233

    Total 43 0.357531

    Coefficientsandard Err t Stat P-value Lower 95%Upper 95%ower 95.0 pper 95.0%

    Intercept -25.3866 13.13859 -1.93221 0.060814 -51.9842 1.211129 -51.9842 1.211129

    Year 0.01263 0.006545 1.929704 0.061134 -0.00062 0.02588 -0.00062 0.02588

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    Avg ACT 0.014525 0.021207 0.684929 0.497546 -0.02841 0.057457 -0.02841 0.057457

    Avg SAT 0.000267 0.000377 0.707276 0.48371 -0.0005 0.00103 -0.0005 0.00103

    HS GPA 0.045801 0.063874 0.71706 0.477722 -0.0835 0.175106 -0.0835 0.175106

    % top 10% 0.024919 0.161413 0.154381 0.878126 -0.30184 0.351683 -0.30184 0.351683

    SUMMARY OUTPUT

    Regression Statistics

    Multiple R 0.867312

    R Square 0.752231

    Adjusted R 0.726818

    Standard E 0.047659

    Observatio 44

    ANOVA

    df SS MS F gnificance F

    Regression 4 0.268946 0.067236 29.60112 2.39E-11

    Residual 39 0.088585 0.002271

    Total 43 0.357531

    Coefficientsandard Err t Stat P-value Lower 95%Upper 95%ower 95.0 pper 95.0%

    Intercept -25.3917 12.97308 -1.95726 0.057501 -51.6323 0.848789 -51.6323 0.848789

    Year 0.012622 0.006463 1.953158 0.058003 -0.00045 0.025694 -0.00045 0.025694

    Avg ACT 0.015784 0.019331 0.816523 0.419161 -0.02332 0.054884 -0.02332 0.054884

    Avg SAT 0.00026 0.00037 0.702995 0.486234 -0.00049 0.001008 -0.00049 0.001008

    HS GPA 0.047016 0.062589 0.751182 0.457052 -0.07958 0.173614 -0.07958 0.173614

    SUMMARY OUTPUT

    Regression Statistics

    Multiple R 0.8655

    R Square 0.749091

    Adjusted R 0.730273

    Standard E 0.047357

    Observatio 44

    ANOVA

    df SS MS F gnificance F

    Regression 3 0.267823 0.089274 39.80679 4.39E-12

    Residual 40 0.089708 0.002243

    Total 43 0.357531

    Coefficientsandard Err t Stat P-value Lower 95%Upper 95%ower 95.0 pper 95.0%

    Intercept -25.9565 12.86605 -2.01744 0.050394 -51.9598 0.04673 -51.9598 0.04673

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    Year 0.012928 0.006407 2.017733 0.050362 -2.1E-05 0.025877 -2.1E-05 0.025877

    Avg ACT 0.028189 0.007842 3.594799 0.000881 0.012341 0.044038 0.012341 0.044038

    HS GPA 0.030068 0.057393 0.523892 0.603245 -0.08593 0.146064 -0.08593 0.146064

    SUMMARY OUTPUT BEST MODEL

    Regression Statistics

    Multiple R 0.864505

    R Square 0.747369

    Adjusted R 0.735046

    Standard E 0.046936

    Observatio 44

    ANOVA

    df SS MS F gnificance F

    Regression 2 0.267208 0.133604 60.64615 5.64E-13

    Residual 41 0.090323 0.002203

    Total 43 0.357531

    Coefficientsandard Err t Stat P-value Lower 95%Upper 95%ower 95.0 pper 95.0%

    Intercept -26.4858 12.71234 -2.08347 0.043484 -52.1589 -0.81269 -52.1589 -0.81269

    Year 0.013196 0.00633 2.084811 0.043355 0.000413 0.025979 0.000413 0.025979

    Avg ACT 0.031986 0.002968 10.77865 1.55E-13 0.025993 0.037979 0.025993 0.037979

    nearity

    s!

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    2010 Major League Baseball Statistics

    Team Won Lost Runs Hits Strike Out Earned R Walks Runs Batt Triples

    Arizona 65 97 713 1366 1529 4.81 589 691 34

    Atlanta 91 71 738 1411 1140 3.56 634 699 25

    Baltimore 66 96 613 1440 1056 4.59 424 577 21

    Boston 89 73 818 1511 1140 4.19 587 782 22Chicago 75 87 685 1414 1236 4.18 479 658 27

    Chicago S 88 74 752 1467 922 4.09 467 710 21

    Cincinnati 91 71 790 1515 1218 4.01 522 761 30

    Cleveland 69 93 646 1362 1184 4.3 545 601 20

    Colorado 83 79 770 1452 1274 4.14 585 741 54

    Detroit 81 81 751 1515 1147 4.3 546 717 32

    Florida 80 82 719 1403 1375 4.08 514 686 37

    Houston 76 86 611 1348 1025 4.09 415 577 25

    Kansas Ci 67 95 676 1534 905 4.97 471 640 31

    LA Angels 80 82 681 1363 1070 4.04 466 656 19

    LA Dodge 80 82 667 1368 1184 4.01 533 621 29

    Milwauke 77 85 750 1471 1216 4.58 546 710 33

    Minnesot 94 68 781 1521 967 3.95 559 749 41

    NY Mets 79 83 656 1361 1095 3.7 502 625 40

    NY Yanke 95 67 859 1485 1136 4.06 662 823 32

    Oakland 81 81 663 1396 1061 3.56 527 619 30

    Philadelp 97 65 772 1451 1064 3.67 560 736 34

    Pittsburg 57 105 587 1303 1207 5 463 570 27

    San Diego 90 72 665 1338 1183 3.39 538 630 24

    San Franc 92 70 697 1411 1099 3.36 487 660 30

    Seattle 61 101 513 1274 1184 3.93 459 485 16St. Louis 86 76 736 1456 1027 3.57 541 689 18

    Tampa Ba 96 66 802 1343 1292 3.78 672 769 37

    Texas 90 72 787 1556 986 3.93 511 740 25

    Toronto 85 77 755 1364 1164 4.22 471 732 21

    Washingt 69 93 655 1355 1220 4.13 503 634 31

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    Doubles Home Runs Won Lost Runs Hits Doubles Triples

    301 180 Won 1.00

    312 139 Lost (1.00) 1.00

    264 133 Runs 0.78 (0.78) 1.00

    358 211 Hits 0.45 (0.45) 0.68 1.00298 149 Doubles 0.33 (0.33) 0.61 0.43 1.00

    263 177 Triples 0.21 (0.21) 0.36 0.21 0.12 1.00

    293 188 Home Run 0.44 (0.44) 0.73 0.35 0.56 0.07

    290 128 Runs Batte 0.76 (0.76) 0.99 0.65 0.62 0.39

    270 173 Earned Ru (0.68) 0.68 (0.16) 0.09 0.14 0.02

    308 152 Strike Out (0.23) 0.23 0.00 (0.42) 0.14 0.30294 152 Walks 0.53 (0.53) 0.68 0.21 0.42 0.42

    252 108

    279 121

    276 155 Based on the correlation matrix, we might model wins as a function of Hits, D

    270 120

    293 182

    318 142 SUMMARY OUTPUT266 128

    275 201 Regression Statistics

    276 109 Multiple R 0.979572

    290 166 R Square 0.959562

    276 126 Adjusted R 0.941365

    236 132 Standard E 2.664757284 162 Observatio 30

    227 101285 150 ANOVA

    295 160 df SS MS F gnificance

    268 162 Regression 9 3369.981 374.4424 52.73146 5.61E-12

    319 257 Residual 20 142.0186 7.10093250 149 Total 29 3512

    Coefficientsandard Err t Stat P-value Lower 95%

    Intercept 106.925 16.03975 6.666254 0.00 73.46671

    Runs 0.146258 0.098985 1.477579 0.16 -0.06022

    Hits -0.03387 0.016161 -2.09552 0.05 -0.06758Doubles 0.012624 0.02606 0.484432 0.63 -0.04174

    Triples 0.014704 0.088464 0.166212 0.87 -0.16983

    Home Run -0.04952 0.038814 -1.27578 0.22 -0.13048

    Strike Out -0.01253 0.006291 -1.99163 0.06 -0.02565

    eliminate Runs Batt 0.008623 0.096642 0.089225 0.93 -0.19297

    Earned Ru -13.0329 1.620706 -8.04148 0.00 -16.4136

    Walks -0.03151 0.018139 -1.73715 0.10 -0.06935

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    SUMMARY OUTPUT

    Regression Statistics

    Multiple R 0.979564

    R Square 0.959546

    Adjusted R 0.944135Standard E 2.601054

    Observatio 30

    ANOVA

    df SS MS F gnificance

    Regression 8 3369.925 421.2406 62.2632 6.82E-13

    Residual 21 142.0751 6.765482

    Total 29 3512

    Coefficientsandard Err t Stat P-value Lower 95%

    Intercept 107.0354 15.60971 6.856975 0.00 74.57321

    Runs 0.154701 0.028367 5.45355 0.00 0.095708

    Hits -0.03433 0.014947 -2.29646 0.03 -0.06541

    Doubles 0.012858 0.025309 0.508033 0.62 -0.03977

    eliminate Triples 0.018038 0.078264 0.230481 0.82 -0.14472

    Home Run -0.04856 0.03642 -1.33344 0.20 -0.1243

    Strike Out -0.0125 0.006129 -2.03866 0.05 -0.02524

    Earned Ru -12.9907 1.513345 -8.58412 0.00 -16.1379

    Walks -0.03178 0.017456 -1.82059 0.08 -0.06808

    SUMMARY OUTPUT

    Regression Statistics

    Multiple R 0.979512

    R Square 0.959443

    Adjusted R 0.946539

    Standard E 2.544464

    Observatio 30

    ANOVA

    df SS MS F gnificance

    Regression 7 3369.565 481.3665 74.3504 7.73E-14

    Residual 22 142.4345 6.474296

    Total 29 3512

    Coefficientsandard Err t Stat P-value Lower 95%

    Intercept 106.2109 14.86373 7.145644 0.00 75.38542

    Runs 0.157205 0.025634 6.132664 0.00 0.104043

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    Hits -0.03446 0.014611 -2.35856 0.03 -0.06476

    eliminate Doubles 0.011918 0.024435 0.487759 0.63 -0.03876

    Home Run -0.05202 0.032462 -1.60259 0.12 -0.11935

    Strike Out -0.01191 0.00546 -2.18158 0.04 -0.02323

    Earned Ru -12.9336 1.460425 -8.85606 0.00 -15.9623

    Walks -0.03244 0.016848 -1.92517 0.07 -0.06738

    SUMMARY OUTPUT

    Regression Statistics

    Multiple R 0.979288

    R Square 0.959005

    Adjusted R 0.948311

    Standard E 2.501954

    Observatio 30

    ANOVA

    df SS MS F gnificance

    Regression 6 3368.025 561.3375 89.67376 8.69E-15

    Residual 23 143.9748 6.259775

    Total 29 3512

    Coefficientsandard Err t Stat P-value Lower 95%

    Intercept 106.307 14.61412 7.274268 0.00 76.07541

    Runs 0.157379 0.025203 6.244384 0.00 0.105242

    Hits -0.03345 0.014222 -2.35211 0.03 -0.06287

    ELIMINATE Home R un -0.04877 0.031239 -1.56122 0.13 -0.11339Strike Out -0.0118 0.005364 -2.19956 0.04 -0.02289

    Earned Ru -12.8265 1.419699 -9.03466 0.00 -15.7634

    Walks -0.03119 0.016375 -1.90469 0.07 -0.06506

    SUMMARY OUTPUT BEST MODEL SO FAR

    Regression Statistics

    Multiple R 0.977067

    R Square 0.95466Adjusted R 0.945215

    Standard E 2.575788

    Observatio 30

    ANOVA

    df SS MS F gnificance

    Regression 5 3352.768 670.5535 101.0679 2.57E-15

    Residual 24 159.2324 6.634684

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    Total 29 3512

    Coefficientsandard Err t Stat P-value Lower 95%

    Intercept 102.9661 14.88321 6.92 0.00 72.24866

    Runs 0.123794 0.013518 9.16 0.00 0.095893

    Hits -0.02188 0.012498 (1.75) 0.09 -0.04768

    Strike Out -0.01411 0.005308 (2.66) 0.01 -0.02506Earned Ru -13.5778 1.375068 (9.87) 0.00 -16.4158

    Walks -0.0141 0.012539 (1.12) 0.27 -0.03998

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    ome Runs ns Batted ed Run Ave trike Outs Walks

    1.00

    0.76 1.00

    0.09 (0.13) 1.00

    0.20 0.05 0.19 1.00

    0.31 0.67 (0.24) 0.36 1.00

    oubles, Triples, Home Runs, Strike Outs

    F

    Upper 95%ower 95.0 pper 95.0%

    140.3834 73.46671 140.3834

    0.352737 -0.06022 0.352737

    -0.00015 -0.06758 -0.000150.066985 -0.04174 0.066985

    0.199236 -0.16983 0.199236

    0.031446 -0.13048 0.031446

    0.000593 -0.02565 0.000593

    0.210215 -0.19297 0.210215

    -9.65213 -16.4136 -9.65213

    0.006327 -0.06935 0.006327

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    F

    Upper 95%ower 95.0 pper 95.0%

    139.4975 74.57321 139.4975

    0.213693 0.095708 0.213693

    -0.00324 -0.06541 -0.00324

    0.06549 -0.03977 0.06549

    0.180798 -0.14472 0.180798

    0.027176 -0.1243 0.027176

    0.000251 -0.02524 0.000251

    -9.84357 -16.1379 -9.84357

    0.004522 -0.06808 0.004522

    F

    Upper 95%ower 95.0 pper 95.0%

    137.0364 75.38542 137.0364

    0.210367 0.104043 0.210367

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    Upper 95%ower 95.0 pper 95.0%

    133.6835 72.24866 133.6835

    0.151694 0.095893 0.151694

    0.00391 -0.04768 0.00391

    -0.00315 -0.02506 -0.00315-10.7398 -16.4158 -10.7398

    0.011778 -0.03998 0.011778

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    Golfing Statistics

    Earnings/Event Events vg. Scor GIR (%)* utts/Roun g Accura ving Distance

    $239,493.68 22 70.37 67.9 31.82 60.2 288.4

    $177,249.18 28 69.43 69.4 31.30 67.9 286.9

    $218,619.18 22 70.23 67.1 31.81 71.0 276.0

    $186,380.08 24 70.46 68.0 31.81 56.4 308.5$209,511.75 20 69.78 68.3 31.43 68.5 282.9

    $181,987.29 21 70.34 65.1 31.72 52.7 299.1

    $162,536.13 23 69.92 66.3 31.68 65.2 287.8

    $174,534.95 21 70.25 65.3 31.52 62.4 277.0

    $135,353.70 27 70.64 68.0 32.35 67.9 291.8

    $212,540.82 17 69.93 68.7 31.55 61.3 294.2

    $297,079.50 12 70.26 69.3 32.31 61.3 298.7

    $168,904.45 20 69.96 66.0 31.79 64.8 291.4

    $135,791.58 24 70.21 68.5 31.73 55.7 309.8

    $133,695.52 23 70.53 68.2 31.86 64.8 289.1

    $112,192.04 26 70.59 66.5 31.30 71.2 279.7

    $215,121.67 12 70.22 66.5 32.29 60.1 292.4

    $183,922.93 14 70.86 62.9 31.99 52.0 287.2 ELIMINATE

    $150,251.76 17 70.94 66.2 32.31 62.6 300.0

    $183,356.69 13 71.13 66.9 32.06 67.1 291.7

    $130,274.35 17 71.53 62.5 32.47 62.7 286.8

    $286,285.40 5 69.73 69.4 32.09 70.6 308.4

    $72,708.05 19 70.79 61.9 31.50 56.7 292.1

    $99,597.31 13 71.07 64.1 31.52 57.2 295.8

    $85,557.56 9 71.10 64.1 31.95 69.3 290.4

    $46,406.25 8 71.24 61.1 32.31 65.5 289.9

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    SUMMARY OUTPUT

    Regression Statistics

    Multiple R 0.907424R Square 0.823419

    Adjusted R 0.764559

    Standard E 29533.22

    Observatio 25

    ANOVA

    df SS MS F gnificance F

    Regression 6 7.32E+10 1.22E+10 13.98937 6.5E-06

    Residual 18 1.57E+10 8.72E+08

    Total 24 8.89E+10

    Coefficientsandard Err t Stat P-value Lower 95%Upper 95%ower 95.0 pper 95.0%

    Intercept 1411171 1350235 1.05 0.31 -1425566 4247909 -1425566 4247909

    Events -4751.82 1288.786 (3.69) 0.00 -7459.46 -2044.18 -7459.46 -2044.18

    Avg. Score -44490.9 19562.25 (2.27) 0.04 -85589.7 -3392.14 -85589.7 -3392.14

    GIR (%)* 22563.99 4727.342 4.77 0.00 12632.21 32495.77 12632.21 32495.77

    Driving Dis -3466.13 999.3162 (3.47) 0.00 -5565.62 -1366.65 -5565.62 -1366.65

    Driving Ac -5463.84 1453.582 (3.76) 0.00 -8517.7 -2409.97 -8517.7 -2409.97

    Putts/Rou 57686.86 23583.6 2.45 0.02 8139.559 107234.2 8139.559 107234.2

    SUMMARY OUTPUT

    Regression Statistics

    Multiple R 0.989462

    R Square 0.979035

    Adjusted R 0.920886

    Standard E 29604.87

    Observatio 25

    ANOVAdf SS MS F gnificance F

    Regression 6 7.78E+11 1.3E+11 147.8771 2.58E-14

    Residual 19 1.67E+10 8.76E+08

    Total 25 7.94E+11

    Coefficientsandard Err t Stat P-value Lower 95%Upper 95%ower 95.0 pper 95.0%

    Intercept 0 #N/A #N/A #N/A #N/A #N/A #N/A #N/A

    Events -4682.82 1290.216 (3.63) 0.00 -7383.27 -1982.37 -7383.27 -1982.37

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    Avg. Score -26751.4 9748.93 (2.74) 0.01 -47156.1 -6346.64 -47156.1 -6346.64

    GIR (%)* 25730.03 3637.981 7.07 0.00 18115.65 33344.42 18115.65 33344.42

    Driving Dis -3545.2 998.8661 (3.55) 0.00 -5635.85 -1454.55 -5635.85 -1454.55

    Driving Ac -5562.2 1454.051 (3.83) 0.00 -8605.57 -2518.84 -8605.57 -2518.84

    Putts/Rou 57035.41 23632.55 2.41 0.03 7571.914 106498.9 7571.914 106498.9

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    SUMMARY OUTPUT

    Regression Statistics

    Multiple R 0.806059

    R Square 0.649731

    Adjusted R 0.579678

    Standard E 0.342439Observatio 25

    ANOVA

    df SS MS F gnificance F

    Regression 4 4.350403 1.087601 9.274756 0.000208

    Residual 20 2.345293 0.117265

    Total 24 6.695696

    Coefficientsandard Err t Stat P-value Lower 95%Upper 95%ower 95.0 pper 95.0%

    Intercept 62.23558 7.127755 8.73 0.00 47.36735 77.10382 47.36735 77.10382

    GIR (%)* -0.15103 0.035749 (4.22) 0.00 -0.2256 -0.07646 -0.2256 -0.07646

    Driving Dis 0.003663 0.010611 0.35 0.73 -0.01847 0.025798 -0.01847 0.025798

    Driving Ac 0.004727 0.015905 0.30 0.77 -0.02845 0.037904 -0.02845 0.037904 ELIMINAT

    Putts/Rou 0.52966 0.225978 2.34 0.03 0.058278 1.001042 0.058278 1.001042

    SUMMARY OUTPUT

    Regression Statistics

    Multiple R 0.805099

    R Square 0.648184

    Adjusted R 0.597925Standard E 0.334924

    Observatio 25

    ANOVA

    df SS MS F gnificance F

    Regression 3 4.340046 1.446682 12.89679 5.37E-05

    Residual 21 2.35565 0.112174

    Total 24 6.695696

    Coefficientsandard Err t Stat P-value Lower 95%Upper 95%ower 95.0 pper 95.0%Intercept 62.10912 6.958887 8.93 0.00 47.63732 76.58092 47.63732 76.58092

    GIR (%)* -0.14567 0.03019 (4.83) 0.00 -0.20845 -0.08289 -0.20845 -0.08289

    Driving Di 0.001844 0.008476 0.22 0.83 -0.01578 0.01947 -0.01578 0.01947 ELIMINAT

    Putts/Rou 0.548489 0.212154 2.59 0.02 0.10729 0.989688 0.10729 0.989688

    SUMMARY OUTPUT BEST MODEL

    Regression Statistics

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    Team Points/Ga Yards/Ga Rushing Passing Y Opponent Intercepti Fumbles Fumbles Penalties

    Arizona C 25.2 344.1 90 254.1 330.2 18 11 12 137

    Atlanta Fa 16.2 301 95 206 355.5 16 12 9 105

    Baltimore 17.2 302 112.3 189.7 301.6 17 6 26 107

    Buffalo Bi 15.8 277.1 112.5 164.6 362.9 18 12 7 78

    Carolina 16.7 284.9 114 170.9 324.8 14 16 12 95Chicago 20.9 293.2 83.1 210.1 354.7 16 17 13 111

    Cincinnati 23.8 348 97.3 250.8 348.8 19 16 10 90

    Cleveland 25.1 351.3 118.4 232.9 359.6 17 10 9 114

    Dallas Co 28.4 365.7 109.1 256.6 307.6 19 10 5 104

    Denver Br 20 346.3 122.3 224 336 14 16 14 90

    Detroit Li 21.6 322.9 80.5 242.4 377.6 17 18 14 100

    Green Ba 27.2 370.7 99.8 270.9 313.3 19 9 9 113

    Houston 23.7 333.6 99.1 234.4 344.2 11 14 17 82

    Indianapo 28.1 358.7 106.6 252.1 279.7 22 15 5 67

    Jacksonvi 25.7 357.4 149.4 208 313.8 20 10 13 76

    Kansas Ci 14.1 276.8 78 198.8 319.4 14 8 13 101

    Miami Dol 16.7 287.5 98.1 189.4 342.2 14 8 13 91

    Minnesot 22.8 336.2 164.6 171.6 338.1 15 16 16 86

    New Engl 36.8 411.2 115.6 295.7 288.3 19 12 6 78

    New Orlea 23.7 361.2 91.6 269.6 348.1 13 10 12 68

    New York 23.3 331.4 134.3 197.1 305 15 10 14 77

    New York 16.8 294.7 106.3 188.4 331.9 15 6 6 63

    Oakland 17.7 294.8 130.4 164.4 341.6 18 8 17 120

    Philadelp 21 358.1 123.4 234.7 311.4 11 8 12 83

    Pittsburg 24.6 327.4 135.5 191.9 266.4 11 14 8 80

    San Diego 25.8 315.2 127.4 187.8 320.3 30 18 8 94San Franc 13.7 237.3 92.3 145 346.2 12 10 17 97

    Seattle Se 24.6 348.9 101.2 247.8 321.8 20 14 11 59

    St. Louis 16.4 297.5 95.4 202.1 341.1 18 9 9 94

    Tampa Ba 20.9 326.8 117 209.8 278.4 16 19 12 81

    Tennesse 18.8 311.7 131.8 179.9 291.6 22 12 17 101

    Washingt 20.9 333.4 116.9 216.4 305.3 14 10 18 90

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    Passes In Opponent Penalty Y Opponent Passing Yards/Game

    24 97.9 1,128 232.3 SUMMARY OUTPUT

    15 127.1 891 228.4

    14 79.3 873 222.3 Regression Statistics

    14 124.6 633 238.4 Multiple R 0.933453

    17 110.7 801 214.1 R Square 0.87133521 122.9 839 231.8 Adjusted R 0.790073

    20 118.3 670 230.4 Standard E 2.28737

    20 129.5 868 230.1 Observatio 32

    19 94.6 815 213.1

    15 142.6 610 193.4 ANOVA

    22 119.4 676 258.2 df SS MS

    15 102.9 1,006 210.4 Regression 12 673.2096 56.1008

    21 114.1 636 230.1 Residual 19 99.40914 5.23206

    14 106.9 515 172.8 Total 31 772.6188

    8 100.3 594 213.5

    20 130.6 697 188.9 Coefficientsandard Err t Stat

    16 153.5 732 188.7 Intercept -11.6856 10.36049 (1.13)

    14 74.1 662 264.1 Yards/Ga -0.6772 12.05297 (0.06)

    9 98.3 690 190.1 Rushing Ya 0.77979 12.05501 0.06

    18 102.9 581 245.3 Passing Ya 0.785619 12.05075 0.07

    20 97.7 652 207.3 Opponent -6.97809 9.359379 (0.75)

    19 134.8 486 197.1 Opponent 6.946941 9.363498 0.74

    20 145.9 864 195.8 Opponent 6.961709 9.354122 0.74

    15 95.8 649 215.6 Penalties -0.01763 0.092936 (0.19)

    14 89.9 651 176.5 Penalty Ya 0.004297 0.010618 0.40

    16 107 761 213.3 Interceptio 0.154864 0.126095 1.2317 118.5 702 227.7 Fumbles 0.19744 0.139563 1.41

    13 102.8 428 219.1 Passes Int 0.033583 0.133963 0.25

    28 115.3 794 225.8 Fumbles R -0.11795 0.136636 (0.86)

    8 107.9 614 170.5

    17 92.4 773 199.2 SUMMARY OUTPUT

    11 91.3 751 214

    Regression Statistics

    Multiple R 0.933442

    R Square 0.871313

    Adjusted R 0.800536Standard E 2.229637

    Observatio 32

    ANOVA

    df SS MS

    Regression 11 673.1931 61.19937

    Residual 20 99.42565 4.971283

    Total 31 772.6188

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    Coefficientsandard Err t Stat

    Intercept -11.6944 10.09783 (1.16)

    Rushing Ya 0.102476 0.028044 3.65

    Passing Ya 0.108542 0.014165 7.66

    Opponent -7.00017 9.115105 (0.77)

    Opponent 6.968993 9.119146 0.76Opponent 6.983871 9.109917 0.77

    Penalties -0.01692 0.089759 (0.19)

    Penalty Ya 0.00419 0.010182 0.41

    Interceptio 0.156901 0.117723 1.33

    Fumbles 0.196953 0.135778 1.45

    Passes Int 0.032656 0.129588 0.25

    Fumbles R -0.11945 0.130597 (0.91)

    SUMMARY OUTPUT

    Regression Statistics

    Multiple R 0.933319

    R Square 0.871085

    Adjusted R 0.809697

    Standard E 2.177836

    Observatio 32

    ANOVA

    df SS MS

    Regression 10 673.0164 67.30164

    Residual 21 99.60234 4.742969Total 31 772.6188

    Coefficientsandard Err t Stat

    Intercept -11.1836 9.501465 (1.18)

    Rushing Ya 0.101997 0.02728 3.74

    Passing Ya 0.108381 0.013811 7.85

    Opponent -6.57268 8.623438 (0.76)

    Opponent 6.538718 8.623799 0.76

    Opponent 6.556926 8.618935 0.76

    Penalty Ya 0.002367 0.003113 0.76

    Interceptio 0.154502 0.114315 1.35

    Fumbles 0.186605 0.121303 1.54

    Passes Int 0.02422 0.118792 0.20

    Fumbles R -0.13238 0.108568 (1.22)

    SUMMARY OUTPUT

    Regression Statistics

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    Multiple R 0.933182

    R Square 0.87083

    Adjusted R 0.817987

    Standard E 2.129869

    Observatio 32

    ANOVAdf SS MS

    Regression 9 672.8192 74.75769

    Residual 22 99.79951 4.536341

    Total 31 772.6188

    Coefficientsandard Err t Stat

    Intercept -10.9707 9.235929 (1.19)

    Rushing Ya 0.100206 0.025257 3.97

    Passing Ya 0.107935 0.013336 8.09

    Opponent -6.29562 8.328143 (0.76)

    Opponent 6.262616 8.32923 0.75

    Opponent 6.281576 8.324986 0.75

    Penalty Ya 0.002526 0.002948 0.86

    Interceptio 0.154127 0.111782 1.38

    Fumbles 0.182843 0.117251 1.56

    Fumbles R -0.13598 0.104762 (1.30)

    SUMMARY OUTPUT

    Regression Statistics

    Multiple R 0.931402R Square 0.86751

    Adjusted R 0.821427

    Standard E 2.109647

    Observatio 32

    ANOVA

    df SS MS

    Regression 8 670.2547 83.78184

    Residual 23 102.364 4.45061

    Total 31 772.6188

    Coefficientsandard Err t Stat

    Intercept -10.774 9.144569 (1.18)

    Rushing Ya 0.101718 0.024938 4.08

    Passing Ya 0.10806 0.013209 8.18

    Opponent -0.03385 0.025672 (1.32)

    Opponent 0.022187 0.028065 0.79

    Penalty Ya 0.002087 0.002862 0.73

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    Interceptio 0.157417 0.110636 1.42

    Fumbles 0.159102 0.111847 1.42

    Fumbles R -0.14634 0.102867 (1.42)

    SUMMARY OUTPUT

    Regression StatisticsMultiple R 0.929757

    R Square 0.864448

    Adjusted R 0.824911

    Standard E 2.088963

    Observatio 32

    ANOVA

    df SS MS

    Regression 7 667.8884 95.41262

    Residual 24 104.7304 4.363766

    Total 31 772.6188

    Coefficientsandard Err t Stat

    Intercept -9.45306 8.875441 (1.07)

    Rushing Ya 0.098314 0.024257 4.05

    Passing Ya 0.107941 0.013078 8.25

    Opponent -0.03481 0.025387 (1.37)

    Opponent 0.025127 0.027502 0.91

    Interceptio 0.178774 0.105643 1.69

    Fumbles 0.139082 0.107362 1.30

    Fumbles R -0.13393 0.100455 (1.33)

    SUMMARY OUTPUT (AND SO ON!)

    Regression Statistics

    Multiple R 0.927218

    R Square 0.859733

    Adjusted R 0.826069

    Standard E 2.082049

    Observatio 32

    ANOVA

    df SS MS

    Regression 6 664.2456 110.7076

    Residual 25 108.3732 4.334926

    Total 31 772.6188

    Coefficientsandard Err t Stat

    Intercept -12.3304 8.270471 (1.49)

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    Rushing Ya 0.105602 0.022832 4.63

    Passing Ya 0.112417 0.012086 9.30

    Opponent -0.01677 0.015901 (1.05)

    Interceptio 0.184951 0.105077 1.76

    Fumbles 0.149202 0.106435 1.40

    Fumbles R -0.10038 0.093192 (1.08)

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    F gnificance F

    10.72251 4.6E-06

    P-value Lower 95%Upper 95%ower 95.0 pper 95.0%

    0.27 -33.3703 9.999151 -33.3703 9.999151

    0.96 -25.9044 24.54995 -25.9044 24.54995

    0.95 -24.4516 26.01122 -24.4516 26.01122

    0.95 -24.4369 26.00814 -24.4369 26.00814

    0.47 -26.5675 12.61131 -26.5675 12.61131

    0.47 -12.6511 26.54497 -12.6511 26.54497

    0.47 -12.6167 26.54011 -12.6167 26.54011

    0.85 -0.21214 0.17689 -0.21214 0.17689

    0.69 -0.01793 0.02652 -0.01793 0.02652

    0.23 -0.10906 0.418784 -0.10906 0.4187840.17 -0.09467 0.489548 -0.09467 0.489548

    0.80 -0.2468 0.31397 -0.2468 0.31397

    0.40 -0.40393 0.168035 -0.40393 0.168035

    F gnificance F

    12.31058 1.26E-06

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    0.00 0.058578 0.152626 0.058578 0.152626

    0.00 0.087526 0.137308 0.087526 0.137308

    0.30 -0.04951 0.015983 -0.04951 0.015983

    0.09 -0.03146 0.401362 -0.03146 0.401362

    0.17 -0.07001 0.36841 -0.07001 0.36841

    0.29 -0.29231 0.091558 -0.29231 0.091558

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