please answer using r markdown
The dataset named “fat” in faraway package in R contains data on 10 body circumference measurements as well as age, height, weight and percentage body fat that were recorded from a sample
of 252 men. Using the “fat” data, fit a multiple regression model with brozek as a response variable and the rest of the variables as predictors, excluding “siri” and “density”, and then answer the questions which follow
q1.8 Select the “best” model by using the following variable selection cirteria:
(a) Akaike information criterion (AIC); (5)
(b) adjusted R2
; and (5)
(c) Mallow’s Cp. (5)
1.9 Using the “best” model recommended by AIC (1.8 (a)), compute the 95% confidence intervals
to test the significance of the regression coefficients. (10)
1.10 Use the p-value approach to test the hypothesis H0 : weight = ankle = thigh = 0: Does your
conclusion corroborate your findings in (1.9)