Consider the following data on sibling heights from Pearson andLee (1902), Biome
ID: 2914871 • Letter: C
Question
Consider the following data on sibling heights from Pearson andLee (1902), Biometrika, 2:357-462.
Family
Brother
Sister
1
71
66
2
68
64
3
66
63
4
67
63
5
70
65
6
71
65
7
73
71
Regress Y (sister’s height) on X brother’sheight.
a) Estimate the slope_________________________________
b) Estimate the intercept_______________________________
c) What is the estimate of the variance___________________
g) What is the critical value? _____________________________
f) What is the correlation between sibling heights?__________________
g) How much of the variation in sisters height is accounted forby the brother’s height?
h) Give a 95% confidence interval for the slopeparameter._______________________
Family
Brother
Sister
1
71
66
2
68
64
3
66
63
4
67
63
5
70
65
6
71
65
7
73
71
Explanation / Answer
Regression Analysis:Sister versus Brother
Predictor Coef SECoef T P
Constant -1.25 16.62 -0.08 0.943
Brother 0.9583 0.2392 4.01 0.010
Analysis of Variance
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