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SCENARIO 18-9
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 ( R2 yj.(All variables except j ) )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 ( R2 j )are,respectively, 0.7461,0.5676,0.6764,0.8582,0.6632.
-Referring to Scenario 18-9,what is the p-value of the test statistic to determine whether HP makes a significant contribution to the regression model in the presence of the other independent variables at a 5% level of significance?
Cook-Medley Hostility Scale
A psychological instrument used to measure levels of hostility and anger thought to be predictive of cardiovascular disease.
Coronary Lesions
Damage or disease affecting the coronary arteries, which can lead to reduced blood flow to the heart muscle and contribute to conditions like angina and myocardial infarction.
Dean Ornish
An American physician and researcher known for his advocacy of lifestyle changes to improve heart health and prevent disease.
Modifiable Risk Factor
A behavioral or environmental characteristic that increases the risk of disease and can be changed to improve health outcomes.
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