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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?
Cold Air
Air that has a lower temperature compared to the surrounding environment, often associated with high pressure systems and can lead to frost or freezing conditions.
Warm Air
Air that has a high temperature, which can rise due to its lower density compared to cooler surrounding air.
Hurricanes
Powerful tropical storms with heavy rain and strong winds that form over warm ocean waters.
Warm Surface Water
Surface ocean water that has a relatively high temperature, often found in tropical and subtropical regions.
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