SCENARIO 18-9 What Are the Factors That Determine the Acceleration Time (In

question 236

True/False

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,the 0 to 60 miles per hour acceleration time of a sedan is predicted to be 0.6427 seconds higher than that of an SUV.

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Definitions:

Rule of Thumb

A broadly applicable guideline or an easy generalization that is not necessarily very accurate but useful for making approximate judgments.

Cluster Sampling

A sampling method where the population is divided into clusters, and a random sample of these clusters is selected for study.

Probability Sampling

A sampling method where each member of the population has a known, non-zero probability of being selected in the sample.

Sample Proportion

The fraction or percentage of the sample that possesses a certain property or characteristic.