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 coefficient3.2210.5480 s. e. of coeff5.0760.1056 t-ratio0.635.19 prob0.5350.000r squared = 67.7% r squared (adjusted) = 60.4%s = 5.754 with 18 - 2 = 16 degrees of freedompart 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)