The Consumer Reports Restaurant Customer SatisfactionSurvey is based upon 148,599 visits to full-service restaurantchains.† Assume the following data are representative of theresults reported. The variable type indicates whether therestaurant is an Italian restaurant or a seafood/steakhouse. Priceindicates the average amount paid per person for dinner and drinks,minus the tip. Score reflects diners' overall satisfaction, withhigher values indicating greater overall satisfaction. A score of80 can be interpreted as very satisfied. (Letx1 represent average meal price,x2 represent type of restaurant, and yrepresent overall customer satisfaction.)
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.)
? = ___________
(b)
At the 0.05 level of significance, test whether the estimatedregression equation developed in part (a) indicates a significantrelationship between overall customer satisfaction and average mealprice. (Use an F test.)
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 = 0.005
(d)
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.)
? = __________
Find the value of the test statistic. (Round your answer to twodecimal places.) __________9.99 and 10.00 are both wrong
Find the p-value. (Round your answer to three decimalplaces.)
p-value = ____________0.001 and 0.00 are both wrong
Predict the Consumer Reports customer satisfaction scorefor a seafood/steakhouse that has an average meal price of $15.(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.)75.95
The predicted satisfaction score increases by __________ pointsfor Italian restaurants