In a study of the performance of a new engine design, the weight of 22 aircrafts (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 11.6559 3.47812	s.e. of Coeff 0.3153 0.294	t-ratio 37 11.8	prob 0.0001 0.0001
R squared = 87.5% R squared (adjusted) = 86.9%
s = 0.6174 with 22 - 2 = 20 degrees of freedom

Part A: Provide the regression equation based off the analysis provided and 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)