TABLE 15-5
What are the factors that determine the acceleration time (in sec.)from 0 to 60 miles per hour of a car? Data on the following variables for 171 different vehicle models were collected:
Accel Time: Acceleration time in sec.
Cargo Vol: Cargo volume in cu.ft.
HP: Horsepower
MPG: Miles per gallon
SUV: 1 if the vehicle model is an SUV with Coupe as the base when SUV and Sedan are both 0
Sedan: 1 if the vehicle model is a sedan with Coupe as the base when SUV and Sedan are both 0
The coefficient of multiple determination ( )for the regression model using each of the 5 variables X j as the dependent variable and all other X variables as independent variables are,respectively,0.7461,0.5676,0.6764,0.8582,0.6632.
-True or False: Referring to Table 15-5,there is reason to suspect collinearity between some pairs of predictors based on the values of the variance inflationary factor.

Question

TABLE 15-5
What are the factors that determine the acceleration time (in sec.)from 0 to 60 miles per hour of a car? Data on the following variables for 171 different vehicle models were collected:
Accel Time: Acceleration time in sec.
Cargo Vol: Cargo volume in cu.ft.
HP: Horsepower
MPG: Miles per gallon
SUV: 1 if the vehicle model is an SUV with Coupe as the base when SUV and Sedan are both 0
Sedan: 1 if the vehicle model is a sedan with Coupe as the base when SUV and Sedan are both 0
The coefficient of multiple determination (  )for the regression model using each of the 5 variables X j as the dependent variable and all other X variables as independent variables are,respectively,0.7461,0.5676,0.6764,0.8582,0.6632.
-True or False: Referring to Table 15-5,there is reason to suspect collinearity between some pairs of predictors based on the values of the variance inflationary factor.

Quizplus · Accepted Answer

The variance inflationary factor (VIF) is not given in the table, but the coefficient of multiple determination (R-squared) is. If the R-squared is high for a variable when using all other variables as predictors, it indicates that there is a strong linear relationship between that variable and the other predictors, which could lead to collinearity. The given R-squared values suggest that there may be collinearity between some of the predictors.

TABLE 15-5 What Are the Factors That Determine the Acceleration Time (In