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.
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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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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
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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