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.
Depend Variable: Top Speed | ||||
Variable Constant Weight |
Coefficient 3.221 0.5480 |
s.e. of Coeff 5.076 0.1056 |
t-ratio 0.63 5.19 |
prob 0.535 0.000 |
R squared = 67.7% R squared (adjusted) = 60.4% | ||||
s = 5.754 with 18 - 2 = 16 degrees of freedom |
Part A: Provide the regression equation based off
the analysis provided & explain it in context. (2 points)
Part B: List the conditions for inference that
need to be verified. Assuming these conditions have been met, does
the data provide convincing evidence of a relationship between
weight and top speed? (4 points)
Part C: Assuming all conditions for inference have
been verified, determine a 95% confidence interval estimate for the
slope of the regression line. (4 points)
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