Question

In a study of the performance of a new engine design, the weight of 18 trucks...


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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