Ch9 Evans BA1e
Transcript of 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
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$-
$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
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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
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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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