Question

In: Statistics and Probability

The Consumer Reports customer satisfaction survey is based upon 148,599 visits to full service restaurant chains....

The Consumer Reports customer satisfaction survey is based upon 148,599 visits to full service restaurant chains. Assume this data set is representative of the results reported. The variable restaurant “type” indicates whether the restaurant is an Italian restaurant or a seafood/steakhouse. Price indicates the average amount a person paid for dinner and drinks minus the tip. Score reflects overall customer satisfaction and a score of 80 can be interpreted as very satisfied. Assume alpha = 0.05 for all parts of this question.

First, develop a dummy variable to indicate the restaurant’s “type”. Use a dummy variable code of ‘0’ to indicate an Italian restaurant and a ‘1’ to indicate a seafood/steakhouse. Develop a regression equation predicting the customer satisfaction score based upon both price and restaurant type.  

What is the value of the F-statistic? (this is NOT the significance level of the regression. This question is asking for the F-value to be compared to an F-critical based upon 5% significance level).

Restaurant Type Price ($) Score
Bertucci's Italian 16 77
Black Angus Steakhouse Seafood/Steakhouse 24 79
Bonefish Grill Seafood/Steakhouse 26 85
Bravo! Cucina Italiana Italian 18 84
Buca di Beppo Italian 17 81
Bugaboo Creek Steak House Seafood/Steakhouse 18 77
Carrabba's Italian Grill Italian 23 86
Charlie Brown's Steakhouse Seafood/Steakhouse 17 75
Il Fornaio Italian 28 83
Joe's Crab Shack Seafood/Steakhouse 15 71
Johnny Carino's Italian Italian 17 81
Lone Star Steakhouse & Saloon Seafood/Steakhouse 17 76
LongHorn Steakhouse Seafood/Steakhouse 19 81
Maggiano's Little Italy Italian 22 83
McGrath's Fish House Seafood/Steakhouse 16 81
Olive Garden Italian 19 81
Outback Steakhouse Seafood/Steakhouse 20 80
Red Lobster Seafood/Steakhouse 18 78
Romano's Macaroni Grill Italian 18 82
The Old Spaghetti Factory Italian 12 79
Uno Chicago Grill Italian 16 76

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