Least-squares regression equation from the sample data

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A doctor wanted to determine whether there is a relation between a? male's age and his HDL? (so-called good) cholesterol. The doctor randomly selected 17 of his patients and determined their HDL cholesterol. The data obtained by the doctor is the in the data table below.

(A) Determine the? least-squares regression equation from the sample data.

(B) Determine the P value ( three decimal )

(C) Assuming the residuals are normally? distributed, construct a? 95% confidence interval about the slope of the true? least-squares regression line.

Lower Bound

Upper Bound

A good estimate for the HDL cholesterol of this patient is:___ (two decimal)

Data:

Age x          HDL Cholesterol y

38                          58

44                          53

48                          35

31                          54

54                          37

54                          40

59                          43

61                          39

28                          49

38                          44

65                          62

32                          51

52                          35

29                          46

54                          36

47                          54

37                          30

 

Reference no: EM132198116

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