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.
X 1 (Engine Size): c.c.
X 2 (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,which of the following assumptions is most likely violated based on the residual plot for Engine Size?
A)Linearity
B)Normality of errors
C)Independence of errors
D)None of the above

Question

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.
X 1  (Engine Size): c.c.
X 2 (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,which of the following assumptions is most likely violated based on the residual plot for Engine Size?
A)Linearity 
B)Normality of errors 
C)Independence of errors 
D)None of the above

Quizplus · Accepted Answer

The residual plot for Engine Size shows a funnel-shaped pattern, which indicates heteroscedasticity or non-constant error variance. This violates the assumption of linearity, as the relationship between Engine Size and Acceleration Time may not be linear throughout the range of Engine Size values.

TABLE 14-16 What Are the Factors That Determine the Acceleration Time (In