TABLE 15-5 What Are the Factors That Determine the Acceleration Time (In

question 86

Short Answer

TABLE 15-5
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.
ANOVA
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 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 Table 15-5, what is the value of the test statistic to determine whether MPG 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:

Signal-Detection Methods

Statistical and methodological techniques used to determine the ability to differentiate between information-bearing patterns and random patterns that distract from the information.

Thresholds

Points or levels at which something starts or changes, often used in context with physiological or psychological responses.

Sensitivity Effects

The impacts on outcomes in a study due to variations in how sensitive measurements or instruments are to changes in the independent variable.

Signal-Detection Terms

Terms used in signal detection theory, a means to quantify the ability to discern between information-bearing patterns (signals) and random patterns that distract from the information (noise), in various fields like psychology and telecommunications.