TABLE 17-9 What Are the Factors That Determine the Acceleration Time (In

question 155

True/False

TABLE 17-9
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. The various residual plots are as shown below. 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 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 17-9,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.

---

Definitions:

Correlation

A mutual relationship or connection between two or more things, where changes in one variable might be associated with changes in another.

Negative Correlation

A relationship between two variables in which one variable increases as the other decreases, indicating an inverse association.

Self-Esteem

A measure of how much value one places on oneself, shaping overall perception of self-worth and personal value.

Personal Wealth

Personal wealth is the total value of the monetary and non-monetary assets owned by an individual, minus any liabilities, indicating their financial health and stability.