mathematics

Use n = 100.

Variable Coefficient Standard Error t P-value
Diet Group -11.25 4.33 -2.5982 0.0094
Baseline Cholesterol 0.85 0.07 12.1429 0.0000
Body Mass Index 0.23 0.65 0.3538 0.7235
Gender -3.02 4.42 -0.6833 0.4944

a. Conduct tests of the null hypothesis that each of the four coefficients in the regression equation is equal to 0. At the 0.05 level of significance, which of the explanatory variables have an effect on serum cholesterol level eight weeks after the start of the study?
b. If an individual’s body mass index were to increase by 1 kg/m2, while the values of all other explanatory variables remained constant, what would happen to his/her serum cholesterol level?
c. If an individual’s body mass index were to increase by 10 kg/m2, while the values of all other explanatory variables remained constant, what would happen to his/her serum cholesterol level?
d. The indicator variable gender is coded so that 1 represents a male and 0 a female. Who is more likely to have a higher serum cholesterol level, a man or a woman? By how much, on average?

 

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