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 SpeedVariable

Constant

WeightCoefficient

3.221

0.5480s.e. of Coeff

5.076

0.1056t-ratio

0.63

5.19prob

0.535

0.000R 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)