Question 5 (Essay Worth 10-points)
(06.05, 06.06 MC)
In a study of the performance of a new engine design, the weight of 18 trucks (in tons) and the top speed (in mph) were recorded. A
regression line was generated and shown to be an appropriate description of the relationship. The results of the regression analysis are
below.
Variable
Constant
Weight
Coefficient
3.221
0.5480
Depend Variable: Top Speed
s.e. of Coeff
5.076
0.1056
R squared = 67.7% R squared (adjusted) = 60.4%
s = 5.754 with 18-2= 16 degrees of freedom
t-ratio
0.63
5.19
prob
0.535
0.000
2
Part A: What is the LSRL based on the analysis provided? Make sure to identify what the variables represent in the context of the problem.
(4 points)
Part B: What is the predicted value for the top speed of a truck if its weight is 100 tons? Show your work. (6 points)