SCENARIO 18-9 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 regression results using acceleration time as the dependent variable and the remaining variables as the independent variables are presented below. SCENARIO 18-9 cont. The various residual plots are as shown below. SCENARIO 18-9 cont. SCENARIO 18-9 cont. The coefficient of partial determination of each of the 5 predictors are, respectively, 0.0380, 0.4376, 0.0248, 0.0188, and 0.0312. 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 18-9, there is enough evidence to conclude that HP makes a significant contribution to the regression model in the presence of the other independent variables at a 5% level of significance.

Question

SCENARIO 18-9 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 regression results using acceleration time as the dependent variable and the remaining variables as the independent variables are presented below. SCENARIO 18-9 cont.  The various residual plots are as shown below.  SCENARIO 18-9 cont.  SCENARIO 18-9 cont.  The coefficient of partial determination  of each of the 5 predictors are, respectively, 0.0380, 0.4376, 0.0248, 0.0188, and 0.0312. 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 18-9, there is enough evidence to conclude that HP makes a significant contribution to the regression model in the presence of the other independent variables at a 5% level of significance.

Quizplus · Accepted Answer

The coefficient of partial determination for HP is 0.0248, which indicates that HP explains a significant portion of the variation in acceleration time when controlling for the other variables. Additionally, the coefficient of multiple determination for the regression model using all 5 variables as independent variables is 0.7461, which suggests that the model as a whole is a good fit and that all variables are contributing significantly. Therefore, there is enough evidence to conclude that HP makes a significant contribution to the regression model. The coefficient of partial determination for HP is the highest among all predictors (0.4376) and the coefficient of multiple determination when using HP as the dependent variable is relatively high (0.8582), indicating that HP is a significant contributor to the regression model. Additionally, the residual plots show a relatively linear pattern with no clear outliers or curvature, indicating that the model is a good fit. Therefore, we can conclude that HP makes a significant contribution at a 5% level of significance.

SCENARIO 18-9 What Are the Factors That Determine the Acceleration