Use the variable selection summary output given in Table 9.37 for 10 screening explanatory variables on a data set having ???? = 70 observations to answer the following:

(a) Which of the 10 explanatory variables has the highest correlation with the response variable? Explain.

(b) If any two models with ????2 adj values differing by less than 0.02 (2%) are not practically different, which model having the fewest variables is the best model?

(c) Compute the value of BIC for each of the models listed in Table 9.37.

(d) If any two models with BIC values differing by less than 2 are not practically different, which model having the fewest variables is the best model?

Variables in the Model R Radi Se X5 41.8 40.8 48.035 X3 X3, X5 X5, X9 X3, X5, X9 X4, X5, X9 X3, X4, X5, X9 X3, X5, X9, X10 X2, X4, X5, X6, X9 X3, X4, X5, X9, X10 25.8 24.5 54.233 56.4 54.8 41.969 54.2 52.6 42.988 63.7 61.7 38.646 59.4 57.2 40.832 66.3 63.8 37.572 65.3 62.7 38.115 68.2 65.2 36.803 67.7 64.7 37.108 X2, X4, X5, X6, X, X10 70.2 66.7 36.010 X2.X3, X4, X5, X9, X10 69.8 66.4 36.209 X2, X3, X4, X5, X6, X9, X10 71.2 67.2 35.731 X2, X3, X4, X, X, X, X10. 70.6 66.6 36.064 X2, X3, X4, X5, X6, X7, X9, X10 71.9 67.4 35.661 X2, X3, X4, X5, X6, X8,X9, X10 71.2 66.6 36.070 X1, X2, X3, X4, X5, X6, X7, X9, X10 71.9 66.8 35.970 X2, X3, X4, X5, X6, X7,X8, X9, X10 71.9 66.7 36.022 All 10 71.9 66.1 36.343