Manufacturers of frozen foods of-ten reformulate their products to maintain and increase customer satisfaction and sales. So they pay particular attention to evaluations of their products in comparison to their competitors€™ products. Frozen pizzas are a major sector of the frozen food market, accounting for an average of $3.1 billion in sales in the five-year period from 2008 to 2012 (www.companiesandmarkets.com). The presti1gious Consumer€™s Union rated frozen pizzas for flavor and quality, assigning an overall score to each brand tested. A regression model to predict the Consumer€™s Union score from Calories, Type (1 = cheese, 0 = pepperoni), and fat content gives the following result:
Dependent variable is: Score
R-squared = 28.7% R-squared (adjusted) = 20.2%
s = 19.79 with 29 - 4 = 25 degrees of freedom

a) What is the interpretation of the coefficient of Type in this regression? According to these results, what type would you expect to sell better€”cheese or pepperoni?
b) What displays would you like to see to check assumptions and conditions for this model?

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Source Regression 3947.34 Residual 9791.35 Variable Coeff Intercept-148.817 Calories Type Fat Sum of Squares df Mean Square F-ratio 3 1315.78 25 391.654 3.36 SE(Coeff) t-ratio P-value 77.99 -1.91 0.0679 2.42 0.0229 1.93 0.0651 -1.82 0.0807 0.743023 0.3066 15.6344 8.103 -3.89135 2.138