The U.S. Department of Energy's Fuel Economy Guide provides fuel efficiency data for cars and trucks. A portion of the sample data for 311 compact, midsize, and large cars follows. The column labeled Class identifies the size of the car; Compact, Midsize, or Large. The column labeled Displacement shows the engine's displacement in liters. The column labeled Fuel Type shows whether the car uses premium (P) or regular (R) fuel, and the column labeled Hwy MPG shows the fuel efficiency rating for highway driving in terms of miles per gallon. A partial report of regression analysis is provided below. Answer the questions based on the report. Regression Analysis: Hwy MPG versus Displacement, ClassMidsize, Predictor Coef SE Coef T ... P 0.000 0.000 Constant 29.7624 0.5521 53.91 Displacement -1.6347 0.1169 -13.98 ClassMidsize 3.9634 0.3193 0.000 ClassLarge 1.6450 0.2940 0.000 FuelPremium -1.1210 0.2090 0.000 S = 1.64596 R-Sq = 83.4% R-Sq(adj) = 83.2% Analysis of Variance Source DF SS Regression Residual Error Total MS F P 0.000 829.0 4989.3 1 Predicted Values for New Observations New Obs Fit SE Fit 99% CI 1 25.3822 0.2233 (24.8033, 25.9610) 99% PI (21.0767, 29.6876) Values of Predictors for New Observations New Obs Displacement ClassMidsize ClassLarge 1 3.00 0.000000 1.00 FuelPremium 1.00 a) What is the sample size used for the analysis? b) What type of variables are \"Class\" and \"Fuel Type\"? Show how they are represented in the regression analysis. c) Identify the Dependent Variable and the Independent Variables in the model. d) Calculate 't' test statistic values. Complete the ANOVA Table. e) Write down Hypothesis Statements. Conduct both p-value and critical-value based hypothesis tests at 0.01 level of significance. Is the Multiple Regression between \"Hwy MPG\