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

question 248

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 SUV makes a significant contribution to the regression model in the presence of the other independent variables at a 5% level of significance.

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Definitions:

Statistical Manipulations

The process of adjusting or processing data through statistical methods to analyze or draw conclusions.

Central Tendency

A statistical measure that represents the center or typical value of a dataset, often determined by the mean, median, or mode.

Statistically Significant

A determination that the results of a study are unlikely to have occurred by chance alone, according to a predefined threshold for significance, often indicating a real effect or difference.

Theoretical Significance

The importance or relevance of a concept or finding within a theoretical framework or body of knowledge, often indicating implications for understanding and further research.