Suppose 10 measurements were taken on the weight of a lawn mower (X) and the depth of the depression made (Y). Based on the observations, we have the following quantities: (a) Calculate the least squares regression line for the simple linear regression model Y,- = [30 + lXi + ,-,fori = 1, , 10. (b) Interpret the estimates of g and A from (a). (c) Perform an appropriate hypothesis test at significance level a = 0.05 to determine whether X has a significant effect on Y. (d) Construct and interpret a 95% confidence interval for the true slope. (e) Determine the value of R2 for the model in (a) and provide an interpretation