Consider the data on all of the wolves in Table D.9 of the Data Bank concerning age (years) and
canine length (mm).
(a) Obtain the least squares fit of the straight line regression model Y = β0 + β1x + e to Predict canine length from age.
(b) Obtain the least squares fit of the multiple regression model Y = β0 + β1x1 + β2x2 + e to predict canine length using age x1 and body length x2.
(c) What is the predicted canine length for a wolf of age 2.5 and body length 127?
(d) What proportion of the y variability is explained by the fitted model in part (b)?
(e) Obtain 95% confidence intervals for β0, β1, and β2.