Part D and E

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter3: Straight Lines And Linear Functions
Section3.CR: Chapter Review Exercises
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Part D and E 

A magazine publishes restaurant ratings for various locations around the world. The magazine rates the restaurants for food, decor, 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.
E Click the icon to view the table of summated ratings and cost per person.
.........
- 32.71 and b,
Summated ratings and cost per person
= 1.32
bo
(Round to two decimal places as needed.)
%3D
c. Interpret the meaning of the Y-intercept, bo, and the slope, b,. Cho
Summated Rating Cost ($ per person) E
51
41
A. The Y-intercept, bo, implies that if the summated rating of a re
implies that for each increase of 1 in the summated rating, the
69
49
69
59
B. A practical interpretation of the Y-intercept b, is not meaningfu
66
57
65
44
b, implies that for each increase of 1 in the summated rating,
60
39
53
42
C. The Y-intercept, bo, implies that if the summated rating of a re
implies that for each increase of 1dollar in the cost per person
63
40
50
33
D. The Y-intercept, bo, implies that if the summated rating of a re
48
33
52
39
the average cost per person is b, dollars.
49
38
74
89
d. Predict the mean cost per person for a restaurant with a summated
62
55
54
38
= $ per person (Round to the nearest cent as needed.)
51
37
54
33
e. What should you tell the owner of a group of restaurants in this geo
cost of a meal?
44
22
54
39
56
43
A. As expected, the higher the summated rating of the restaurant
67
64
64
63
B. As expected, the lower the summated rating of the restaurant,
52
28
C. As expected, the summated rating of the restaurant is not ass
71
48
69
49
D. As expected, the higher the summated rating of the restaurant
Transcribed Image Text:A magazine publishes restaurant ratings for various locations around the world. The magazine rates the restaurants for food, decor, 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. E Click the icon to view the table of summated ratings and cost per person. ......... - 32.71 and b, Summated ratings and cost per person = 1.32 bo (Round to two decimal places as needed.) %3D c. Interpret the meaning of the Y-intercept, bo, and the slope, b,. Cho Summated Rating Cost ($ per person) E 51 41 A. The Y-intercept, bo, implies that if the summated rating of a re implies that for each increase of 1 in the summated rating, the 69 49 69 59 B. A practical interpretation of the Y-intercept b, is not meaningfu 66 57 65 44 b, implies that for each increase of 1 in the summated rating, 60 39 53 42 C. The Y-intercept, bo, implies that if the summated rating of a re implies that for each increase of 1dollar in the cost per person 63 40 50 33 D. The Y-intercept, bo, implies that if the summated rating of a re 48 33 52 39 the average cost per person is b, dollars. 49 38 74 89 d. Predict the mean cost per person for a restaurant with a summated 62 55 54 38 = $ per person (Round to the nearest cent as needed.) 51 37 54 33 e. What should you tell the owner of a group of restaurants in this geo cost of a meal? 44 22 54 39 56 43 A. As expected, the higher the summated rating of the restaurant 67 64 64 63 B. As expected, the lower the summated rating of the restaurant, 52 28 C. As expected, the summated rating of the restaurant is not ass 71 48 69 49 D. As expected, the higher the summated rating of the restaurant
d. Predict the mean cost per person for a restaurant with a summated rating of 70.
= $
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?
A. As expected, the higher the summated rating of the restaurant, the higher the restaurant can charge per meal.
B. As expected, the lower the summated rating of the restaurant, the higher 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.
D. As expected, the higher the summated rating of the restaurant, the less the restaurant can charge per meal.
O O O
Transcribed Image Text:d. Predict the mean cost per person for a restaurant with a summated rating of 70. = $ 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? A. As expected, the higher the summated rating of the restaurant, the higher the restaurant can charge per meal. B. As expected, the lower the summated rating of the restaurant, the higher 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. D. As expected, the higher the summated rating of the restaurant, the less the restaurant can charge per meal. O O O
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