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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, which of the following assumptions is most likely violated based on the residual plot for HP?
Trait
A characteristic or quality that defines or distinguishes a person or thing.
Optimistic
Having a hopeful or positive outlook on the future, expecting the best possible outcome in any given situation.
Impulsive
Acting suddenly on instinct or emotion without premeditated thought, often leading to unintended consequences.
Positive Self-concept
An individual’s perception of oneself that is characterized by positivity, confidence, and self-worth.
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