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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 satisfaction. A score of 80 can be interpreted as very satisfied. (Let x, represent average meal price, x, represent type of restaurant, and y represent overall customer satisfaction. Restaurant Type Price ($) Score Bertucc's Italian 16 77 Black Angus Steakhouse Seafood/Steakhouse 24 79 Bonefish Grill Seafood/Steakhouse 26 85 Bravol 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 83 Italian 22 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 82 18 The Old Spaghetti Factory Italian 12 79 Uno Chicago Grill Italian 16 76 (a) 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.) - 09.270 + 599x

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 satisfaction. A score of 80 can be interpreted as very satisfied. (Let x, represent average meal price, x, represent type of restaurant, and y represent overall customer satisfaction. Restaurant Type Price ($) Score Bertucc's Italian 16 77 Black Angus Steakhouse Seafood/Steakhouse 24 79 Bonefish Grill Seafood/Steakhouse 26 85 Bravol 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 83 Italian 22 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 82 18 The Old Spaghetti Factory Italian 12 79 Uno Chicago Grill Italian 16 76 (a) 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.) - 09.270 + 599x

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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The Consumer Reports Restaurant Customer Satisfaction Survey is based upon 148,599 visits to full-service restaurant chains.t 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 satisfaction. A score of 80 can be interpreted as very satisfied. (Let x, represent average meal price, x, represent type of restaurant, and y represent overall customer satisfaction.) Restaurant Туре Price ($) Score Bertucci's Italian 16 77 Black Angus Steakhouse Seafood/Steakhouse 24 79 Bonefish Grill Seafood/Steakhouse 26 85 Bravo! Cucina Italiana Italian 18 84 Buca di Beppo Italian 17 81 Bugaboo Creek Steak House Seafood/Steakhouse 18 77 Carrabba's Italian Grill Italian 23 86 Charlie Brown's Steakhouse Seafood/Steakhouse 17 75 Il Fornaio Italian 28 83 Joe's Crab Shack Seafood/Steakhouse 15 71 Johnny Carino's Italian 17 81 Lone Star Steakhouse & Saloon Seafood/Steakhouse 17 76 Longhorn Steakhouse Seafood/Steakhouse 19 81 Maggiano's Little Italy Italian 22 83 McGrath's Fish House Seafood/Steakhouse 16 81 Olive Garden Italian 19 81 Outback Steakhouse Seafood/Steakhouse 20 80 Red Lobster Seafood/Steakhouse 18 78 Romano's Macaroni Grill Italian 18 82 The Old Spaghetti Factory Italian 12 79 Uno Chicago Grill Italian 16 76 (a) Develop the estimated regression equation to show how overall customer satisfaction is related to the independent variable average meal price. (Round your numerical values to two decimal places.) ý = 69.276 + .599x
Transcribed Image Text:The Consumer Reports Restaurant Customer Satisfaction Survey is based upon 148,599 visits to full-service restaurant chains.t Assume the following data are representative of the results reported. The variable type indicates whether the restaurant is an Italian restaurant or a seafood/steakhouse. Price indicates the average amount paid per person for dinner and drinks, minus the tip. Score reflects diners' overall satisfaction, with higher values indicating greater overall satisfaction. A score of 80 can be interpreted as very satisfied. (Let x, represent average meal price, x, represent type of restaurant, and y represent overall customer satisfaction.) Restaurant Туре Price ($) 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 overall customer satisfaction is related to the independent variable average meal price. (Round your numerical values to two decimal places.) ý = 69.276 + .599x
(b) 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. O Hg: B, 2 0 H: B, < 0 O H.: B = 0 H,: B, + 0 O Ho: B = 0 H: B, > 0 O Ho: B s0 H: B, > 0 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = .000 State your conclusion. O Reject H.. There is insufficient evidence to conclude that there is a significant relationship. O Do not reject H.. There is sufficient evidence to conclude that there is a significant relationship. O Do not reject H.. There is insufficient evidence to conclude that there is a significant relationship. Reject H. There is sufficient evidence to conclude that there is a significant relationshi (c) Develop a dummy variable that will account for the type of restaurant (Italian or seafood/steakhouse). O Let x, = 1 if the restaurant is an Italian restaurant and x, = 0 if the restaurant is a seafood/steakhouse. O Let x, = 0 if the restaurant is an Italian restaurant and x, = 0 if the restaurant is a seafood/steakhouse. O Let x, = 1 if the restaurant is an Italian restaurant and x, = 1 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 two decimal places.)
Transcribed Image Text:(b) 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. O Hg: B, 2 0 H: B, < 0 O H.: B = 0 H,: B, + 0 O Ho: B = 0 H: B, > 0 O Ho: B s0 H: B, > 0 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = .000 State your conclusion. O Reject H.. There is insufficient evidence to conclude that there is a significant relationship. O Do not reject H.. There is sufficient evidence to conclude that there is a significant relationship. O Do not reject H.. There is insufficient evidence to conclude that there is a significant relationship. Reject H. There is sufficient evidence to conclude that there is a significant relationshi (c) Develop a dummy variable that will account for the type of restaurant (Italian or seafood/steakhouse). O Let x, = 1 if the restaurant is an Italian restaurant and x, = 0 if the restaurant is a seafood/steakhouse. O Let x, = 0 if the restaurant is an Italian restaurant and x, = 0 if the restaurant is a seafood/steakhouse. O Let x, = 1 if the restaurant is an Italian restaurant and x, = 1 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 two decimal places.)
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