DATA SET G Mileage and Vehicle Weight Obtain the regression equation. (Negative amount should be indicated by a minus sign. Round your answers to 4 decimal places.) Calculate R2. (Round your answer to 4 decimal places.) Calculate the degrees of freedom and t-critical. (Round your answers to 2 decimal places.)Using the data set G, answer the questions given below. Solution Here dependent variable y is City MPG and indepedent variable x is weight. All the parts we can done by using MINITAB. Enter the data. STAT --> Regression --> Regression --> Response : y --> Predictors : x --> Results : select second option --> ok --> ok output is : Regression Analysis: y versus x The regression equation is y = 36.6 - 0.00456 x Predictor Coef SE Coef T P Constant 36.634 1.879 19.49 0.000 x -0.0045564 0.0004871 -9.35 0.000 S = 2.49891 R-Sq = 68.1% R-Sq(adj) = 67.3% Analysis of Variance Source DF SS MS F P Regression 1 546.44 546.44 87.51 0.000 Residual Error 41 256.03 6.24 Total 42 802.47 y = -0.00456 x + 36.6 R-sq is 68.1% or 0.681 Degrees of freedom is n-1. where n is number of data pairs. df = n - 1 = 43 - 1 = 42 And critical value by using EXCEL is, syntax : =TINV(probability, deg_freedom) where probability = alpha deg_freedom = df = 42 t-critical = 2.0181 We see that | t | = | -9.35 | = 9.35 t > t-critical Reject H0 at 5% level of significance. Conclusion : Population slope for x is differ than 0..