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![Page 1: Our group measured… Arm length- From shoulder to farthest finger tip. Wrist circumference- Wrapped tape measure around the subject’s wrist. Lower.](https://reader030.fdocuments.in/reader030/viewer/2022032701/56649c755503460f94928488/html5/thumbnails/1.jpg)
PREDICTING HEIGHTS PROJECT
![Page 2: Our group measured… Arm length- From shoulder to farthest finger tip. Wrist circumference- Wrapped tape measure around the subject’s wrist. Lower.](https://reader030.fdocuments.in/reader030/viewer/2022032701/56649c755503460f94928488/html5/thumbnails/2.jpg)
INTRODUCTION
Our group measured…Arm length- From shoulder to
farthest finger tip.Wrist circumference- Wrapped tape
measure around the subject’s wrist.Lower Leg- (Had subject sit down)
From top of knee to ankle.Actual height and gender were also
collected.
![Page 3: Our group measured… Arm length- From shoulder to farthest finger tip. Wrist circumference- Wrapped tape measure around the subject’s wrist. Lower.](https://reader030.fdocuments.in/reader030/viewer/2022032701/56649c755503460f94928488/html5/thumbnails/3.jpg)
60
62
64
66
68
70
72
74
76
78
Lower_Leg
15 16 17 18 19 20 21
Height = 2.68Low er_Leg + 21.2
-4
-2
0
2
4
15 16 17 18 19 20 21
Lower_Leg
Collection 1 Scatter Plot
HEIGHT VS. LOWER LEG
![Page 4: Our group measured… Arm length- From shoulder to farthest finger tip. Wrist circumference- Wrapped tape measure around the subject’s wrist. Lower.](https://reader030.fdocuments.in/reader030/viewer/2022032701/56649c755503460f94928488/html5/thumbnails/4.jpg)
HEIGHT VS. LOWER LEG• Describe graph (form, direction, strength)• Give correlation value (r)
LSR line
• Interpret slope…• Interpret r-squared…• Describe residual plot (form, outliers)• Is the linear model appropriate? Use correlation,
residual plot, and original plot
![Page 5: Our group measured… Arm length- From shoulder to farthest finger tip. Wrist circumference- Wrapped tape measure around the subject’s wrist. Lower.](https://reader030.fdocuments.in/reader030/viewer/2022032701/56649c755503460f94928488/html5/thumbnails/5.jpg)
GENDER VS. LOWER LEG
GenderF M
60
64
68
72
76
Lower_Leg
15 16 17 18 19 20 21
Height = 1.97Low er_Leg + 32 2
Height = 1.9Low er_Leg + 36
Collection 1 Scatter Plot
![Page 6: Our group measured… Arm length- From shoulder to farthest finger tip. Wrist circumference- Wrapped tape measure around the subject’s wrist. Lower.](https://reader030.fdocuments.in/reader030/viewer/2022032701/56649c755503460f94928488/html5/thumbnails/6.jpg)
FEMALES AND LOWER LEG
FEMALES:• Describe female plot• List Female LSR line• List female correlation• List female r-squared• Describe female resid plot
and comment on fit of linear model for females
62
63
64
65
66
67
68
69
shoulder_span_across_back
12.0 12.5 13.0 13.5 14.0 14.5 15.0 15.5
female_height = 0.16shoulder_span_across_back + 62.3; r2 = 0.0035
-2
0
2
4
12.0 12.5 13.0 13.5 14.0 14.5 15.0 15.5
shoulder_span_across_back
Collection 1 Scatter Plot
![Page 7: Our group measured… Arm length- From shoulder to farthest finger tip. Wrist circumference- Wrapped tape measure around the subject’s wrist. Lower.](https://reader030.fdocuments.in/reader030/viewer/2022032701/56649c755503460f94928488/html5/thumbnails/7.jpg)
MALES & LOWER LEGMALES:
• Describe male plot• List male LSR line• List male correlation• List male r-squared• Describe male resid plot
and comment on fit of linear model for males
66
68
70
72
74
shoulder_span_across_back
13 14 15 16 17
male_height = 1.32shoulder_span_across_back + 49.5; r2
-4
-2
0
2
13 14 15 16 17
shoulder_span_across_back
Collection 1 Scatter Plot
![Page 8: Our group measured… Arm length- From shoulder to farthest finger tip. Wrist circumference- Wrapped tape measure around the subject’s wrist. Lower.](https://reader030.fdocuments.in/reader030/viewer/2022032701/56649c755503460f94928488/html5/thumbnails/8.jpg)
Compare male and female data
![Page 9: Our group measured… Arm length- From shoulder to farthest finger tip. Wrist circumference- Wrapped tape measure around the subject’s wrist. Lower.](https://reader030.fdocuments.in/reader030/viewer/2022032701/56649c755503460f94928488/html5/thumbnails/9.jpg)
HEIGHT VS. WRIST CIRCUMFERENCE
60
62
64
66
68
70
72
74
76
78
Wrist_Circumfrence
5.4 5.6 5.8 6.0 6.2 6.4 6.6 6.8 7.0 7.2 7.4 7.6
Height = 4.53Wrist_Circumfrence + 37.8
-4
0
4
8
5.4 5.6 5.8 6.0 6.2 6.4 6.6 6.8 7.0 7.2 7.4 7.6
Wrist_Circumfrence
Collection 1 Scatter Plot
![Page 10: Our group measured… Arm length- From shoulder to farthest finger tip. Wrist circumference- Wrapped tape measure around the subject’s wrist. Lower.](https://reader030.fdocuments.in/reader030/viewer/2022032701/56649c755503460f94928488/html5/thumbnails/10.jpg)
HEIGHT VS. WRIST CIRCUMFERENCE
• Describe graph (form, direction, strength)• Give correlation value (r)
HEIGHT = a + b(wrist circ)
• Interpret slope…• Interpret r-squared…• Describe residual plot (form, direction,
strength)• Is the linear model appropriate? Use
correlation, residual plot, and original plot
![Page 11: Our group measured… Arm length- From shoulder to farthest finger tip. Wrist circumference- Wrapped tape measure around the subject’s wrist. Lower.](https://reader030.fdocuments.in/reader030/viewer/2022032701/56649c755503460f94928488/html5/thumbnails/11.jpg)
HEIGHT AND WRIST CIRCUMFERENCE BASED ON GENDER
• Same gender analysis as before
• See slides 5 – 8
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HEIGHT VS. ARM LENGTH
60
62
64
66
68
70
72
74
76
78
Arm_Length
24 25 26 27 28 29 30 31 32
Height = 1.63Arm_Length + 22.6; r2 = 0.70
-4
0
4
Arm_Length
24 25 26 27 28 29 30 31 32
Collection 1 Scatter Plot
![Page 13: Our group measured… Arm length- From shoulder to farthest finger tip. Wrist circumference- Wrapped tape measure around the subject’s wrist. Lower.](https://reader030.fdocuments.in/reader030/viewer/2022032701/56649c755503460f94928488/html5/thumbnails/13.jpg)
• Describe graph (form, direction, strength)• Give correlation value (r)
HEIGHT = a + b(arm length)
• Interpret slope…• Interpret r-squared…• Describe residual plot (form, direction,
strength)• Is the linear model appropriate? Use
correlation, residual plot, and original plot
![Page 14: Our group measured… Arm length- From shoulder to farthest finger tip. Wrist circumference- Wrapped tape measure around the subject’s wrist. Lower.](https://reader030.fdocuments.in/reader030/viewer/2022032701/56649c755503460f94928488/html5/thumbnails/14.jpg)
HEIGHT AND ARM LENGTH BASED ON GENDER
• Same gender analysis as before
• See slides 5 – 8
![Page 15: Our group measured… Arm length- From shoulder to farthest finger tip. Wrist circumference- Wrapped tape measure around the subject’s wrist. Lower.](https://reader030.fdocuments.in/reader030/viewer/2022032701/56649c755503460f94928488/html5/thumbnails/15.jpg)
BEST OVERALL MODEL – LOWER LEG Justify choice
![Page 16: Our group measured… Arm length- From shoulder to farthest finger tip. Wrist circumference- Wrapped tape measure around the subject’s wrist. Lower.](https://reader030.fdocuments.in/reader030/viewer/2022032701/56649c755503460f94928488/html5/thumbnails/16.jpg)
BEST MODEL FOR EACH GENDER
Justify choices
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OUR PREDICTED HEIGHTS
(use gender specific models) Partner #1
Lower leg measurement = 17.5 inches Height = 21.2 + 2.68(17.5) = 68.1 inches Actual Height = 64 inches Residual = 64 – 68.1 = -4.1 inches Overestimate
Partner #2 Lower leg measurement = 18 inches Height = 21.2 + 2.68(18) = 69.44 inches Actual Height = 67 inches Residual = 67 – 69.44 = -2.44 inches Overestimate
Partner #3 Lower leg measurement = 17.5 inches Height = 21.2 + 2.68(17.5) = 68.1 inches Actual Height = 71 inches Residual = 71 – 68.1 = 2.9 Underestimate
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PREDICTED TEACHER HEIGHTS
(use gender specific models) Mrs. McNelis
Height = 2.68(17.5) + 21.2 = 68.1 inches Mrs. Ladley
Height = 2.68(17.5) + 21.2 = 68.1 inches Mr. Smith
Height = 5.2(17) + 10.4 = 66.8 inches Mrs. Tannous
Height = 2.68(17.5) + 21.2 = 68.1 inches Miss Gemgnani
Height = 2.68(17.5) + 21.2 = 68.1 inches Mrs. Bolton
Height = 2.68(17) + 21.2 = 66.8 inches
![Page 19: Our group measured… Arm length- From shoulder to farthest finger tip. Wrist circumference- Wrapped tape measure around the subject’s wrist. Lower.](https://reader030.fdocuments.in/reader030/viewer/2022032701/56649c755503460f94928488/html5/thumbnails/19.jpg)
CONFIDENCE State how confident you are in your
predictions of the guest teachers, and JUSTIFY WHY!
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LINREG T TEST (ON BEST MODEL) Create linear model for best
measurement and copy onto ppt
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Do lin Reg t test using the output above
Ho: β1 = 0
Ha: β1 >, <, ≠ 0
Conditions (with graphs! Do not say “see previous slides”) & statement
t = b1 – 0 = #SEb
P(t > ______|df = n—2) =
• We reject Ho….• We have sufficient evidence…• Therefore…
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LIN REG CONFIDENCE INTERVAL Since we rejected Ho, we need to
complete a conf. int.
Statement
b + t*(SEb) = (____, ____)
We are 90% confident that for every 1 X variable unit increase, the Y variable increases btw ____ and ____ units on average.
![Page 23: Our group measured… Arm length- From shoulder to farthest finger tip. Wrist circumference- Wrapped tape measure around the subject’s wrist. Lower.](https://reader030.fdocuments.in/reader030/viewer/2022032701/56649c755503460f94928488/html5/thumbnails/23.jpg)
ANALYSIS OF GENDER HEIGHTSSummary Stats:(do not copy this table from Fathom. Instead, type these on your slide neatly)
Collection 1
RowSummary
gender
M
gender
F
height
64.5278
18
62
63
64.25
66
68.5
1.85085
69.3561
23
65.5
68
69
71.5
73.5
2.26593
67.2364
41
62
64.5
67.5
69
73.5
3.18825
S1 = meanS2 = countS3 = minS4 = Q1S5 = medianS6 = Q3S7 = maxS8 = s
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2 SAMPLE T TEST ON THE MEAN HEIGHT OF MALE/FEMALE Ho: μ males = μ femalesHa: μ males ≠ μ females
Conditions & statement
t = mean1– mean2 = s1
2 + s22
n1 n2
2* P(t > _______| df = ___) =
• We reject…..• We have sufficient evidence ….
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CONFIDENCE INTERVAL If you reject Ho, complete an
appropriate confidence interval
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ANALYSIS OF ARM LENGTH BY GENDER
DO NOT put this type of table on your power point!! Write out the numbers neatly.
Collection 1
RowSummary
Gender
M
Gender
F
Arm_Length
1926.26321.51262
24252628
29.5
2328.587
1.5049326
27.5283031
4227.53571.89477
2426282931
S1 = countS2 = meanS3 = sS4 = minS5 = Q1S6 = medianS7 = Q3S8 = max
![Page 27: Our group measured… Arm length- From shoulder to farthest finger tip. Wrist circumference- Wrapped tape measure around the subject’s wrist. Lower.](https://reader030.fdocuments.in/reader030/viewer/2022032701/56649c755503460f94928488/html5/thumbnails/27.jpg)
2 SAMPLE T TEST ON THE MEAN ARM LENGTH OF MALE/FEMALE Ho: μ males = μ femalesHa: μ males ≠ μ females
Conditions & statement
t = mean1– mean2 = s1
2 + s22
n1 n2
2* P(t > _______| df = ___) =
• We reject…..• We have sufficient evidence ….
![Page 28: Our group measured… Arm length- From shoulder to farthest finger tip. Wrist circumference- Wrapped tape measure around the subject’s wrist. Lower.](https://reader030.fdocuments.in/reader030/viewer/2022032701/56649c755503460f94928488/html5/thumbnails/28.jpg)
CONFIDENCE INTERVAL If you reject Ho, complete an
appropriate confidence interval
![Page 29: Our group measured… Arm length- From shoulder to farthest finger tip. Wrist circumference- Wrapped tape measure around the subject’s wrist. Lower.](https://reader030.fdocuments.in/reader030/viewer/2022032701/56649c755503460f94928488/html5/thumbnails/29.jpg)
BIAS AND ERRORS
List and explain possible sources of bias and error in your project.
![Page 30: Our group measured… Arm length- From shoulder to farthest finger tip. Wrist circumference- Wrapped tape measure around the subject’s wrist. Lower.](https://reader030.fdocuments.in/reader030/viewer/2022032701/56649c755503460f94928488/html5/thumbnails/30.jpg)
CONCLUSION Make conclusions about ALL of your
data analysis Each measurement Each test of significance and confidence interval Overall conclusion about predicting heights
Can be a bulleted list with explanation