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 satisfaction. A score of 80 can be interpreted as very satisfied. (Let x1 represent average meal price, x2 represent type of restaurant, and y represent 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 overall customer satisfaction is related to the independent variable average meal price. (Round your numerical values to two decimal places.) ŷ = 69.276+0.559 Is not correct..   What is right answer?   (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. -H0: ?1 ≥ 0 Ha: ?1 < 0 -H0: ?1 = 0 Ha: ?1 > 0     --H0: ?1 = 0 Is correct answer Ha: ?1 ≠ 0 -H0: ?1 ≤ 0 Ha: ?1 > 0 Find the value of the test statistic. (Round your answer to two decimal places.) Statistic= 3.158 Is not correct what is right answer??   Find the p-value. (Round your answer to three decimal places.) p-value =  0.005 is correct!!! State your conclusion. -Do not reject H0. There is insufficient evidence to conclude that there is a significant relationship. -Reject H0. There is sufficient evidence to conclude that there is a significant relationship.    Is correct answer!! -Do not reject H0. There is sufficient evidence to conclude that there is a significant relationship. -Reject H0. There is insufficient 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. This is correct!! -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 two decimal places.) ŷ = Need help please???

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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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 satisfaction. A score of 80 can be interpreted as very satisfied. (Let x1 represent average meal price, x2 represent type of restaurant, and y represent 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 overall customer satisfaction is related to the independent variable average meal price. (Round your numerical values to two decimal places.)
ŷ = 69.276+0.559 Is not correct..   What is right answer?
 
(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.
-H0: ?1 ≥ 0
Ha: ?1 < 0
-H0: ?1 = 0
Ha: ?1 > 0    
--H0: ?1 = 0 Is correct answer
Ha: ?1 ≠ 0
-H0: ?1 ≤ 0
Ha: ?1 > 0
Find the value of the test statistic. (Round your answer to two decimal places.)
Statistic= 3.158 Is not correct what is right answer??
 
Find the p-value. (Round your answer to three decimal places.)
p-value =  0.005 is correct!!!
State your conclusion.
-Do not reject H0. There is insufficient evidence to conclude that there is a significant relationship.
-Reject H0. There is sufficient evidence to conclude that there is a significant relationship.    Is correct answer!!
-Do not reject H0. There is sufficient evidence to conclude that there is a significant relationship.
-Reject H0. There is insufficient 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. This is correct!!
-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 two decimal places.)
ŷ = Need help please???
 
(e)Is type of restaurant a significant factor in overall customer satisfaction? (Use ? = 0.05.)
State the null and alternative hypotheses.
-H0: ?2 ≥ 0
Ha: ?2 < 0
-H0: ?2 = 0 Is correct
Ha: ?2 ≠ 0    
-H0: ?2 ≤ 0
Ha: ?2 > 0
-H0: ?2 = 0
Ha: ?2 > 0
Find the value of the test statistic. (Round your answer to two decimal places.)
Statistic=-2.630 is wrong! please help??
 
Find the p-value. (Round your answer to three decimal places.)
p-value =  0.017 is correct
State your conclusion.
-Do not reject H0. There is insufficient evidence to conclude that the type of restaurant is a significant factor.
-Reject H0. There is sufficient evidence to conclude that the type of restaurant is a significant factor.    Is correct!!
-Reject H0. There is insufficient evidence to conclude that the type of restaurant is a significant factor.
-Do not reject H0. 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 $25. (Round your answer to two decimal places.)  Answer= 78.87 is not correct... please help??
 
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 (81.90 is not correct..Please help)  points for Italian restaurants.
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