SCENARIO 14-16 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 30 different vehicle models were collected: Y (Accel Time): Acceleration time in sec. X₁ (Engine Size): c.c. X₂(Sedan): 1 if the vehicle model is a sedan and 0 otherwise The regression results using acceleration time as the dependent variable and the remaining variables as the independent variables are presented below. The various residual plots are as shown below. The coefficient of partial determinations are 0.3301 and 0.0594 respectively. The coefficient of determination for the regression model using each of the 2 independent variables as the dependent variable and the other independent variable as independent variables are, respectively, 0.0077 and 0.0077.
-Referring to Scenario 14-16, there is enough evidence to conclude that engine size makes a significant contribution to the regression model in the presence of the other independent variable at a 5% level of significance.

Question

SCENARIO 14-16 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 30 different vehicle models were collected: Y (Accel Time): Acceleration time in sec. X₁ (Engine Size): c.c. X₂(Sedan): 1 if the vehicle model is a sedan and 0 otherwise The regression results using acceleration time as the dependent variable and the remaining variables as the independent variables are presented below.   The various residual plots are as shown below.   The coefficient of partial determinations  are 0.3301 and 0.0594 respectively. The coefficient of determination for the regression model using each of the 2 independent variables as the dependent variable and the other independent variable as independent variables  are, respectively, 0.0077 and 0.0077.
-Referring to Scenario 14-16, there is enough evidence to conclude that engine size makes a significant contribution to the regression model in the presence of the other independent variable at a 5% level of significance.

Quizplus · Accepted Answer

The coefficient of partial determination for engine size (X₁) is greater than the coefficient for sedan (X₂), indicating that engine size has a larger impact on acceleration time. Additionally, the p-value for the coefficient of engine size is less than 0.05, indicating that it is statistically significant. Therefore, there is enough evidence to conclude that engine size makes a significant contribution to the regression model in the presence of the other independent variable at a 5% level of significance. The p-value for the coefficient of Engine Size is less than 0.05, indicating that it is statistically significant and makes a significant contribution to the regression model in the presence of the other independent variable.

SCENARIO 14-16 What Are the Factors That Determine the Acceleration