TABLE 14-16 What Are the Factors That Determine the Acceleration Time (In

question 180

Short Answer

TABLE 14-16
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.






-Referring to 14-16, what is the value of the test statistic to determine whether 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:

Imaginary Unit

A mathematical concept represented by \(i\), used to describe the square root of -1, fundamental in complex number theory.

Standard Form

In mathematics, standard form can refer to a way of writing numbers using the digits 0-9, with each digit having a place value. In the context of linear equations, it refers to Ax + By = C, where A, B, and C are integers.

Complex Numbers

A number that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit, satisfying the equation i^2 = -1.

Imaginary Unit

A mathematical constant represented as i, which is the square root of -1.