A reviewer rated frozen pizzas for flavor and quality. A regression model to pre

Question

A reviewer rated frozen pizzas for flavor and quality. A regression model to predict reviewers score from Calories, Fat content, and Type (1-pepperoni, 0 = cheese) gives the results shown. Complete parts a and b below Dependent Variable: Score Source R-squared = 28.7% R-squared (adjusted)-20.2% Residual s = 19.79 with 29-4 = 25 degrees of freedom F-ratio 3.36 DF Mean Square 1315.78 Sum of Square 3947.34 9791.35 Coefficient Regression 25 SE(Coeff) 77.99 391.654 t-ratio Variable Intercept -1 Calories Fat P-value 0.0679 0.0229 0.0807 0.0651 148.817 - 1.91 2.42 - 1.82 1.93 0.743023 0.3066 2.138 - 3.89135 7.995 15.4301 a) What is the interpretation of the coefficient of Type in this regression? For pizzas with the same number or calories and fat, pepperoni pizzas are predicted to score about15.4 points higher. (In the first blank, enter the correct type of pizza (cheese or pepperoni). For the second blank, round to one decimal place) b) Predict the score for a cheese pizza with 458 calories and 18 grams of fat. Round your answer to one decimal place 121.4

Explanation / Answer

a) Pepperni, 15.4 ( because for same caloroies and fat, scores are same)

b) Score = -148.817+0.743023*458-3.85135*18 = 121.4

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