A group rated frozen pizzas for flavor andquality, assigning an overall score to each brand tested. A regression model to predict thegroup's score fromCalories, Type (1=cheese, 0=pepperoni), and Fat content was developed. The resulting regression analysis and a plot are found below. Complete parts a through c.

Dependent variable is: Score R squared = 64.8% R squared (adjusted) = 58.2% s = 17.18 with 20-4= 16 degrees of freedom Source Sum of Squares df Mean Square-ratio Regression 8691.53 3 2897.18 9.8 Residual 4722.29 16 295.14 Variable Coef SE(Coeff)t-ratioP-value Intercept - 445.200169.454 - 6.41 =0.0001 Calories -7.2280 1.341 5.39 =0.0001 Type 27.2862 6.754 4.04 0.0009 Fat - 10.9517 2.208 - 4.96 0.0001A plot of the residuals against the predicted values 30- for this regression with egression lines fit for each type of pizza is shown to the 15- ight. Residuals OH -15 Cheese -30 20 40 60 80 100 Pepperoni PredictedDependent variable is: Score R squared = 73.2% R squared (adjusted) = 66.1% S = 15.48 with 20-5 = 15 degrees of freedom Source Sum of Squares df Mean Square F-ratio Regression9830.39 4 2457.60 10.3 Residual 3594.48 15 239.63 Variable Coef SE(Coeff) t-ratio P-value Intercept - 447.4698 75.205 - 5.95 $0.0001 Calories 8.2472 1.341 6.15 3 0.0001 Type 192.9553 59.924 3.22 0.0057 Fat -7.3658 1.359 - 5.42 $0.0001 Type*Cals 0.4168 0. 151 2.76 0.0146