Please answer all questions, data is included:    A magazine publishes restaurant ratings for various locations around the world. The magazine rates the restaurants for​ food, de​cor, service, and the cost per person. Develop a regression model to predict the cost per​ person, based on a variable that represents the sum of the three ratings. The magazine has compiled the accompanying table of this summated ratings variable and the cost per person for 25 restaurants in a major city. Complete parts​ (a) through​ (e) below.   Summated Rating               Cost ($ per person) 54                                         41 68                                         50 67                                         62 69                                         59 65                                         44 61                                          42 56                                         43 65                                         40 51                                          32 51                                          33 53                                         43 51                                          35 74                                          84 63                                          53 52                                          36 47                                          33 57                                          32 46                                          25 55                                          43 58                                          46 64                                          64 63                                          63 51                                           29 73                                           46 68                                           49

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Please answer all questions, data is included: 
 
A magazine publishes restaurant ratings for various locations around the world. The magazine rates the restaurants for​ food,
de​cor, service, and the cost per person. Develop a regression model to predict the cost per​ person, based on a variable that represents the sum of the three ratings. The magazine has compiled the accompanying table of this summated ratings variable and the cost per person for 25 restaurants in a major city. Complete parts​ (a) through​ (e) below.
 
Summated Rating               Cost ($ per person)
54                                         41
68                                         50
67                                         62
69                                         59
65                                         44
61                                          42
56                                         43
65                                         40
51                                          32
51                                          33
53                                         43
51                                          35
74                                          84
63                                          53
52                                          36
47                                          33
57                                          32
46                                          25
55                                          43
58                                          46
64                                          64
63                                          63
51                                           29
73                                           46
68                                           49
d. Predict the mean cost per person for a restaurant with a summated rating of 70.
Y;
= $ per person (Round to the nearest cent as needed.)
e. What should you tell the owner of a group of restaurants in this geographical area about the relationship between the summated rating and the cost of a meal?
O A. As expected, the higher the summated rating of the restaurant, the higher the restaurant can charge per meal.
B. As expected, the higher the summated rating of the restaurant, the less the restaurant can charge per meal.
C. As expected, the summated rating of the restaurant is not associated with what the restaurant can charge per meal.
O D. As expected, the lower the summated rating of the restaurant, the higher the restaurant can charge per meal.
Transcribed Image Text:d. Predict the mean cost per person for a restaurant with a summated rating of 70. Y; = $ per person (Round to the nearest cent as needed.) e. What should you tell the owner of a group of restaurants in this geographical area about the relationship between the summated rating and the cost of a meal? O A. As expected, the higher the summated rating of the restaurant, the higher the restaurant can charge per meal. B. As expected, the higher the summated rating of the restaurant, the less the restaurant can charge per meal. C. As expected, the summated rating of the restaurant is not associated with what the restaurant can charge per meal. O D. As expected, the lower the summated rating of the restaurant, the higher the restaurant can charge per meal.
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