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







Solution :
Option B is correct.
Explanation :
Linearity because the residual plot shows two clusters. points are not randomly scattered.
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