3d) The computer output for the multiple regression model with log mpg as the dependent variable and the four independent variables is given below. The regression equation is logmpg = 1.75 - 0.000049 displacement - 0.000829 horsepower - 0.000273 weight + 0.0297 year Predictor Coef SE Coef T P Constant 1.7467 0.1489 11.73 0.000 displacement -0.0000492 0.0001900 -0.26 0.796 horsepower -0.0008292 0.0003781 -2.19 0.029 weight -0.00027255 0.00002069 -13.17 0.000 year 0.029737 0.001860 15.99 0.000 S = 0.121823 R-Sq = 87.3% R-Sq(adj) = 87.2% Analysis of Variance Source DF SS MS F P Regression 4 39.4666 9.8666 664.84 0.000 Residual Error 387 5.7434 0.0148 Total 391 45.2100 Use this output to test the null hypothesis: Beta1 = Beta2 = Beta3 = Beta4 = 0 versus the alternative hypothesis that not all of these Beta's are equal to 0. What does your result mean? Choose the best answer from the following: i) Since the p-values for horsepower, weight, and year are all less than .05, this means that the hypothesis that all the Beta's = 0 can be rejected. This means that at least one of displacement, horsepower, weight, and year impact logmpg. ii) Since the p-values for horsepower, weight, and year