The Minitab output shown below was obtained by using paired data consisting of weights (in lb) of 28 cars and their highway fuel consumption amounts (in mi/gal). Along with the paired sample data, Minitab was also given a car weight of 3000 lb to be used for predicting the highway fuel consumption amount. Use the information provided in the display to determine the value of the linear correlation coefficient. (Be careful to correctly identify the sign of the correlation coefficient.) Given that there are 28 pairs of data, is there sufficient evidence to support a claim of linear correlation between the weights of cars and their highway fuel consumption amounts? X Minitab output The regression equation is Highway = 51.0-0.00577 Weight Predictor SE Coef Constant 2.983 Weight -0.0057705 0.0007975 |S=2.16332 R-Sq = 63.8% R-Sq(adj) = 60.9% Predicted Values for New Observations New Obs 1 Coef 50.989 Fit 33.678 SE Fit 0.475 Weight 3000 T 17.65 - 7.39 Values of Predictors for New Observations New Obs 1 P 0.000 0.000 95% CI (32.665, 34.691) 95% Pl (29.085, 38.271)