![aliami0306oyaj0n](/avatars/29753.jpg)
aliami0306oyaj0n
01.07.2021 •
Mathematics
The Consumer Reports Restaurant Customer Satisfaction Survey is based upon 148,599 visits to full-service restaurant chains.â 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.)
Å· =
(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: β1 ⥠0
Ha: β1 < 0H0: β1 ⤠0
Ha: β1 > 0 H0: β1 = 0
Ha: β1 > 0H0: β1 = 0
Ha: β1 â 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 =
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. Reject H0. There is insufficient evidence to conclude that there is a significant relationship.Do not reject H0. 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 = 0 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 = 1 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.)
Å· =
(e) Is type of restaurant a significant factor in overall customer satisfaction? (Use α = 0.05.)
State the null and alternative hypotheses.
H0: β2 = 0
Ha: β2 > 0H0: β2 = 0
Ha: β2 â 0 H0: β2 ⤠0
Ha: β2 > 0H0: β2 ⥠0
Ha: β2 < 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 =
State your conclusion.
Do not 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. Reject H0. There is sufficient evidence to conclude that the type of restaurant is a significant factor.Reject H0. There is insufficient 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.)
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 points for Italian restaurants.
Solved
Show answers
More tips
- S Society and Politics What If There s War Tomorrow, What If We Go to War?...
- S Sport How to Do a Jumping Split...
- A Animals and plants What Do Terriers Eat?...
- F Food and Cooking Discover the Benefits and Properties of Dates...
- C Computers and Internet Dynamically Assigned IP Address: What Is It and How Does It Work?...
- S Style and Beauty How to Get Rid of Acne: Scientifically Proven Methods...
- H Health and Medicine Simple Ways to Lower Cholesterol in the Blood: Tips and Tricks...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
- L Leisure and Entertainment History of International Women s Day: When Did the Celebration of March 8th Begin?...
- S Style and Beauty Intimate Haircut: The Reasons, Popularity, and Risks...
Answers on questions: Mathematics
- M Mathematics Create an equation for a parallel line and a perpendicular line that passes through the given point on the graph...
- B Biology Choose the correct measuring device for gathering data from the list of tools in the drop-down menu. heartbeats per minute time distance across the pond temperature of the water...
- P Physics A1650 kg car accelerates at a rate of 4.0 m/s^2. how much force is the car s engine producing?...
- S Social Studies The functionalist perspective on deviance originates in the work of...
- C Computers and Technology Dwight s is using iterative process. What is the next step?...
Ответ:
29c-4c^2
step by step explanation
15c+2c^2-6c^2+14c
29c-4c^2