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, what is the correct interpretation for the estimated coefficient for HP?
A)As the horsepower increases by one unit, the mean 0 to 60 miles per hour acceleration time will decrease by an estimated 0.0200 seconds without taking into consideration All the other independent variables included in the model.
B)As the 0 to 60 miles per hour acceleration time increases by one second, the mean horsepower will decrease by an estimated 0.0200 unit without taking into Consideration all the other independent variables included in the model.
C)As the horsepower increases by one unit, the mean 0 to 60 miles per hour acceleration time will decrease by an estimated 0.0200 seconds taking into consideration all the Other independent variables included in the model.
D)As the 0 to 60 miles per hour acceleration time increases by one second, the mean horsepower will decrease by an estimated 0.0200 unit taking into consideration all the Other independent variables included in the model.

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, what is the correct interpretation for the estimated coefficient for HP?
A)As the horsepower increases by one unit, the mean 0 to 60 miles per hour acceleration time will decrease by an estimated 0.0200 seconds without taking into consideration All the other independent variables included in the model. 
B)As the 0 to 60 miles per hour acceleration time increases by one second, the mean horsepower will decrease by an estimated 0.0200 unit without taking into Consideration all the other independent variables included in the model. 
C)As the horsepower increases by one unit, the mean 0 to 60 miles per hour acceleration time will decrease by an estimated 0.0200 seconds taking into consideration all the Other independent variables included in the model. 
D)As the 0 to 60 miles per hour acceleration time increases by one second, the mean horsepower will decrease by an estimated 0.0200 unit taking into consideration all the Other independent variables included in the model.

Quizplus · Accepted Answer

The estimated coefficient for HP is -0.0200, which means that as the horsepower increases by one unit while keeping all other independent variables constant (i.e. taking into consideration all other independent variables in the model), the mean 0 to 60 miles per hour acceleration time will decrease by an estimated 0.0200 seconds. The estimated coefficient for HP is -0.0200, which means that as the horsepower increases by one unit, the mean 0 to 60 miles per hour acceleration time will decrease by an estimated 0.0200 seconds, taking into consideration all the other independent variables included in the model. This is because HP is a significant predictor variable with a high coefficient of partial determination, indicating that it has a strong relationship with acceleration time.

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