Question 2 (Essay Worth 10 points) (02.01, 02.02, 07.05 MC) P In a study of the...

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Question 2 (Essay Worth 10 points) (02.01, 02.02, 07.05 MC) P 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. Variable Constant Weight Depend Variable: Top Speed Coefficient 11.6559 s.e. of Coeff 0.3153 3.47812 0.294 R squared = 87.5% R squared (adjusted) = 86.9% s = 0.6174 with 22 - 2 = 20 degrees of freedom t-ratio 37 prob 0.0001 11.8 0.0001 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) Question 2 (Essay Worth 10 points) (02.01, 02.02, 07.05 MC) P 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. Variable Constant Weight Depend Variable: Top Speed Coefficient 11.6559 s.e. of Coeff 0.3153 3.47812 0.294 R squared = 87.5% R squared (adjusted) = 86.9% s = 0.6174 with 22 - 2 = 20 degrees of freedom t-ratio 37 prob 0.0001 11.8 0.0001 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)