Does the weight of a car affect miles per gallon? We would like to determine if there is a linear relationship between weight of a car and miles per gallon of the car. Using the Minitab printout below answer the following questions: a) What is the explanatory variable? What is the response variable? b) What is the least squares regression equation? c) What is the coefficient of determination, r2? Interpret this result. d) What is the correlation coefcient, r? Interpret this result. e) Are there any outliers? If so, which observations are outliers? (If there is more than one, list observations with a comma between them. Write N/A if there are none.) Are there any inuential observations? If so, which observations are inuential? (If there is more than one, list observations with a comma between them. Write N/A if there are none.) 1') Suppose the weight of the cars in this sample ranged from 1.95 to 4.36 thousand pounds What would be the predicted miles per gallon of a car weighing 2.5 thousand pounds? What would be the predicted miles per gallon of a car weighting 7.5 thousand pounds? Regression Analysis: MPG versus Weight Analysis of Variance Source DF Adj SS Adi MS F-Value P-Value Regression 1293.52 1293.52 159.16 0.000 Weight 1293.52 1293.52 159.16 0.000 Error 36 292.58 8.13 Lack-of-Fit 34 290.27 8.54 7.41 0.126 Pure Error 2 2.31 1.15 Total 37 1586.09 Model Summary S R-sq R-sq(adj) R-sq(pred) 2.85080 81.55% 81.04% 79.57% Coefficients Term Coef SE Coef, T-Value P-Value VIF Constant 48.71 1.95 24.93 0.000 Weight -8.365 0.663 -12.62 0.000 1.00 Regression Equation MPG = 48.71 -8.365 Weight Fits and Diagnostics for Unusual Observations Obs MPG Fit Resid Std Resid 5 16.200 29.299 -13.099 -3.86 R 19 33.500 27.328 6.172 2.20 RX 25 37.300 30.891 6.409 2.31 R 32 25.500 23.521 1.979 0.28 X