SCENARIO 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 as the dependent variable and all other X variables as independent variables are, respectively, 0.7461, 0.5676, 0.6764, 0.8582, 0.6632.
-Referring to Scenario 15-5, there is reason to suspect collinearity between some pairs of predictors based on the values of the variance inflationary factor.

Question

SCENARIO 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  as the dependent variable and all other X variables as independent variables are, respectively, 0.7461, 0.5676, 0.6764, 0.8582, 0.6632.
-Referring to Scenario 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

Since the coefficient of determination values are relatively high for all variables, it suggests that there could be collinearity between some pairs of predictors, leading to inflated variance inflation factors. The variance inflationary factor (VIF) measures the level of multicollinearity between predictors in a regression model, and a high VIF (usually above 5 or 10) indicates problematic collinearity. Although the exact VIF values are not given in the scenario, the fact that the coefficient of determination is high for all predictors except Cargo Vol suggests that there may be some degree of collinearity between certain pairs of predictors. Therefore, it is reasonable to suspect collinearity between some predictors.

SCENARIO 15-5 What Are the Factors That Determine the Acceleration