5. [1.7/2 Points] DETAILS PREVIOUS ANSWERS MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER DATAfile: RestaurantRatings A...

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5. [1.7/2 Points] DETAILS PREVIOUS ANSWERS MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER DATAfile: RestaurantRatings A statistical program is recommended. The Consumer Reports Restaurant Customer Satisfaction Survey is based upon 148,599 visits to full-service restaurant chains. Assume the following data are representative of the results reported. The variable type indicates whether the restaurant is an Italian restaurant or a seafood/steakhouse. Price indicates the average amount paid per person for dinner and drinks, minus the tip. Score reflects diners' overall satisfaction, with higher values indicating greater overall satisfactio A score of 80 can be interpreted as very satisfied. (Let x represent average meal price, x2 represent type of restaurant, a y represent overall customer satisfaction.) 1 Restaurant Bertucci's Price ($) Score 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 Uno Chicago Grill Italian 12 79 16 76 Develop the estimated regression equation to show how overall customer satisfaction is related to the independent variable average meal price. (Round your numerical values to two decimal places.) = 69.28+0.56 At the 0.05 level of significance, test whether the estimated regression equation developed in part (a) indicates a significant relationship between overall customer satisfaction and average meal price. (Use an F test.) State the null and alternative hypotheses. Ho B = 0 a 1 Ho: B = 0 B1 H B = 0 1 O Ho: B 20 Ha B1 <0 OH B, SO Find the value of the test statistic. (Round your answer to two decimal places.) 9.97 Find the p-value. (Round your answer to three decimal places.) p-value = 0.005 State your conclusion. Do not reject Ho. There is sufficient evidence to conclude that there is a significant relationship. Reject Ho. There is insufficient evidence to conclude that there is a significant relationship. Do not reject Ho. There is insufficient evidence to conclude that there is a significant relationship. Reject Ho. There is sufficient evidence to conclude that there is a significant relationship. (c) Develop a dummy variable that will account for the type of restaurant (Italian or seafood/steakhouse). Let X2 = 1 if the restaurant is an Italian restaurant and x2 = 0 if the restaurant is a seafood/steakhouse. Let x2 = 1 if the restaurant is an Italian restaurant and x2 = 1 if the restaurant is a seafood/steakhouse. Let x2 = 0 if the restaurant is an Italian restaurant and x2 = 0 if the restaurant is a seafood/steakhouse. (d) Develop the estimated regression equation to show how overall customer satisfaction is related to the average meal price and the type of restaurant. (Use the dummy variable developed in part (c). Round your numerical values to tw decimal places.) = 67.40+ 0.57x1 +3.04x2 (e) Is type of restaurant a significant factor in overall customer satisfaction? (Use = 0.05.) Ctate the null and alternative hunathoco (e) Is type of restaurant a significant factor in overall customer satisfaction? (Use = 0.05.) State the null and alternative hypotheses. Ha B <0 2 O Ho: B 0 Ha B > 0 2 Ho B = 0 H: P = 0 2 O Ho B = 0 Find the value of the test statistic. (Round your answer to two decimal places.) 3.71 Find the p-value. (Round your answer to three decimal places.) p-value = 0.002 State your conclusion. Reject Ho. There is sufficient evidence to conclude that the type of restaurant is a significant factor. Reject Ho. There is insufficient evidence to conclude that the type of restaurant is a significant factor. Do not reject Ho. There is insufficient evidence to conclude that the type of restaurant is a significant factor. Do not reject Ho. There is sufficient evidence to conclude that the type of restaurant is a significant factor. (f) Predict the Consumer Reports customer satisfaction score for a seafood/steakhouse that has an average meal price of $15. (Round your answer to two decimal places.) 76.01 How much would the predicted score have changed for an Italian restaurant? (Round your answer to two decimal places.) The predicted satisfaction score increases by 3.04 points for Italian restaurants. 5. [1.7/2 Points] DETAILS PREVIOUS ANSWERS MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER DATAfile: RestaurantRatings A statistical program is recommended. The Consumer Reports Restaurant Customer Satisfaction Survey is based upon 148,599 visits to full-service restaurant chains. Assume the following data are representative of the results reported. The variable type indicates whether the restaurant is an Italian restaurant or a seafood/steakhouse. Price indicates the average amount paid per person for dinner and drinks, minus the tip. Score reflects diners' overall satisfaction, with higher values indicating greater overall satisfactio A score of 80 can be interpreted as very satisfied. (Let x represent average meal price, x2 represent type of restaurant, a y represent overall customer satisfaction.) 1 Restaurant Bertucci's Price ($) Score 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 Uno Chicago Grill Italian 12 79 16 76 Develop the estimated regression equation to show how overall customer satisfaction is related to the independent variable average meal price. (Round your numerical values to two decimal places.) = 69.28+0.56 At the 0.05 level of significance, test whether the estimated regression equation developed in part (a) indicates a significant relationship between overall customer satisfaction and average meal price. (Use an F test.) State the null and alternative hypotheses. Ho B = 0 a 1 Ho: B = 0 B1 H B = 0 1 O Ho: B 20 Ha B1 <0 OH B, SO Find the value of the test statistic. (Round your answer to two decimal places.) 9.97 Find the p-value. (Round your answer to three decimal places.) p-value = 0.005 State your conclusion. Do not reject Ho. There is sufficient evidence to conclude that there is a significant relationship. Reject Ho. There is insufficient evidence to conclude that there is a significant relationship. Do not reject Ho. There is insufficient evidence to conclude that there is a significant relationship. Reject Ho. There is sufficient evidence to conclude that there is a significant relationship. (c) Develop a dummy variable that will account for the type of restaurant (Italian or seafood/steakhouse). Let X2 = 1 if the restaurant is an Italian restaurant and x2 = 0 if the restaurant is a seafood/steakhouse. Let x2 = 1 if the restaurant is an Italian restaurant and x2 = 1 if the restaurant is a seafood/steakhouse. Let x2 = 0 if the restaurant is an Italian restaurant and x2 = 0 if the restaurant is a seafood/steakhouse. (d) Develop the estimated regression equation to show how overall customer satisfaction is related to the average meal price and the type of restaurant. (Use the dummy variable developed in part (c). Round your numerical values to tw decimal places.) = 67.40+ 0.57x1 +3.04x2 (e) Is type of restaurant a significant factor in overall customer satisfaction? (Use = 0.05.) Ctate the null and alternative hunathoco (e) Is type of restaurant a significant factor in overall customer satisfaction? (Use = 0.05.) State the null and alternative hypotheses. Ha B <0 2 O Ho: B 0 Ha B > 0 2 Ho B = 0 H: P = 0 2 O Ho B = 0 Find the value of the test statistic. (Round your answer to two decimal places.) 3.71 Find the p-value. (Round your answer to three decimal places.) p-value = 0.002 State your conclusion. Reject Ho. There is sufficient evidence to conclude that the type of restaurant is a significant factor. Reject Ho. There is insufficient evidence to conclude that the type of restaurant is a significant factor. Do not reject Ho. There is insufficient evidence to conclude that the type of restaurant is a significant factor. Do not reject Ho. There is sufficient evidence to conclude that the type of restaurant is a significant factor. (f) Predict the Consumer Reports customer satisfaction score for a seafood/steakhouse that has an average meal price of $15. (Round your answer to two decimal places.) 76.01 How much would the predicted score have changed for an Italian restaurant? (Round your answer to two decimal places.) The predicted satisfaction score increases by 3.04 points for Italian restaurants.