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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 30 different vehicle models were collected:
Y (Accel Time): Acceleration time in sec.
X1 (Engine Size): c.c.
X2 (Sedan): 1 if the vehicle model is a sedan and 0 otherwise
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 determinations
and
are 0.3301,and 0.0594,respectively.
The coefficient of determination for the regression model using each of the 2 independent variables as the dependent variable and the other independent variable as independent variables ( )are,respectively 0.0077,and 0.0077.
-Referring to Table 14-16,what is the p-value of the test statistic to determine whether being a sedan or not makes a significant contribution to the regression model in the presence of the other independent variable at a 5% level of significance?
Three or More Populations
Refers to the statistical study or comparison involving more than two distinct groups or sets of individuals/elements.
ANOVA
Analysis of Variance, a statistical method used to compare the means of three or more samples to determine if at least one of the sample means is significantly different from the others.
Degrees of Freedom
The number of independent values or quantities which can be assigned to a statistical distribution, used to estimate a population parameter.
Critical Value
A point on a statistical distribution that is compared with the test statistic to determine whether to reject the null hypothesis.
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