1. Math
2. Statistics And Probability
3. in a study of the performance of a new engine...

# Question: in a study of the performance of a new engine...

###### Question details

In a study of the performance of a new engine design, the weight of 12 cars (in pounds) 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 107.58 0.8710 s.e. of Coeff 11.12 0.4146 t-ratio 9.67 2.10 prob 0.000 0.062 R squared = 30.6% R squared (adjusted) = 23.7% s = 10.42 with 12 - 2 = 10 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)

###### Solution by an expert tutor 