A statistical program is recommended.
The Consumer Reports Restaurant Customer SatisfactionSurvey is based upon 148,599 visits to full-service restaurantchains.†Assume the following data are representative of the resultsreported. The variable type indicates whether the restaurant is anItalian restaurant or a seafood/steakhouse. Price indicates theaverage amount paid per person for dinner and drinks, minus thetip. Score reflects diners' overall satisfaction, with highervalues indicating greater overall satisfaction. A score of 80 canbe interpreted as very satisfied. (Let x1represent average meal price, x2 represent typeof restaurant, and y represent overall customersatisfaction.)
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 | 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 |
(a)
Develop the estimated regression equation to show how overallcustomer satisfaction is related to the independent variableaverage meal price. (Round your numerical values to two decimalplaces.)
Å· =
Develop the estimated regression equation to show how overallcustomer satisfaction is related to the average meal price and thetype of restaurant. (Use the dummy variable developed in part (c).Round your numerical values to two decimal places.)
Is type of restaurant a significant factor in overall customersatisfaction? (Use α = 0.05.)
Find the value of the test statistic. (Round your answer to twodecimal places.)
Find the p-value. (Round your answer to three decimalplaces.)
p-value =
(f)
Predict the Consumer Reports customer satisfactionscore for a seafood/steakhouse that has an average meal price of$25. (Round your answer to two decimal places.)
How much would the predicted score have changed for an Italianrestaurant? (Round your answer to two decimal places.)
The predicted satisfaction score increases by  pointsfor Italian restaurants.
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