Question

# What are the factors that determine the acceleration time (in sec.) from 0 to 60 miles...

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.

Which of the following assumptions is most likely violated based on the residual plot for Engine Size?

 A) Independence of errors
 B) Linearity
 C) None of the above
 D) Normality of errors

Solution :

Option B is correct.

Explanation :

Linearity because the residual plot shows two clusters. points are not randomly scattered.

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