Q3. The following data represents the body mass index (BMI) for different people at different age. Assume the relationship is linear answer the two following question: BMI Age 45.5 20.08 20.75 34.6 29.18 40.6 20.94 32.9 26.13 28.2 20.55 30.1 23.45 52.1 17.43 33.3 35.4 52.1 a) Fit a simple linear regression model with y BMI and x =age. Find an estimate of variance. (b) Find the fitted value of BMI corresponding to x= 30.1 and the associated residual. (c) Find the mean age corresponding to BMI of 20.

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Q3. The following data represents the body mass index (BMI) for different people at
different age. Assume the relationship is linear answer the two following question:
Age
45.5
BMI
20.08
20.75
34.6
29.18
40.6
20.94
32.9
26.13
28.2
20.55
30.1
23.45
52.1
17.43
33.3
35.4
52.1
(a) Fit a simple linear regression model with y =BMI and x =age. Find an estimate of
variance.
(b) Find the fitted value of BMI corresponding to x- 30.1 and the associated residual.
(c) Find the mean age corresponding to BMI of 20.
Transcribed Image Text:Q3. The following data represents the body mass index (BMI) for different people at different age. Assume the relationship is linear answer the two following question: Age 45.5 BMI 20.08 20.75 34.6 29.18 40.6 20.94 32.9 26.13 28.2 20.55 30.1 23.45 52.1 17.43 33.3 35.4 52.1 (a) Fit a simple linear regression model with y =BMI and x =age. Find an estimate of variance. (b) Find the fitted value of BMI corresponding to x- 30.1 and the associated residual. (c) Find the mean age corresponding to BMI of 20.
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