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. A Click the icon to view the table of summated ratings and cost per person. a. Construct a scatter plot. Choose the correct graph below. OA. В. Oc. OD. A Cost (5) 904 A Cost (S) 90 A Cost (5) 90- 90+ TTE ACost ($) 90-4 T .... ....-- Rating 90 0- Rating Rating Rating b. Assuming a linear relationship, use the least-squares method to oompute the regression coefficients b, and b, bo and b, O (Round to two decimal places as needed.) Summated ratings and cost per person Summated Rating Cost (S per person)e 51 68 37 52 67 66 59 60 67 60 42 39 55 46 44 65 52 34 31 49 51 50 73 62 41 36 85 52 54 38 50 33 54 32 48 24 58 54 66 43 45 66 65 60 55 74 66 25 47 46
A magazine publishes restaurant ratings for various locations around the world. The magazine rates the restaurants for food, decor, service, and the cost per person. Develop a regression model to predict the cost per person, based on a variable that represents the sum of the three ratings. The magazine has compiled the accompanying table of this summated ratings variable and the cost per person for 25 restaurants in a major city. Complete parts (a) through (e) below. A Click the icon to view the table of summated ratings and cost per person. a. Construct a scatter plot. Choose the correct graph below. OA. В. Oc. OD. A Cost (5) 904 A Cost (S) 90 A Cost (5) 90- 90+ TTE ACost ($) 90-4 T .... ....-- Rating 90 0- Rating Rating Rating b. Assuming a linear relationship, use the least-squares method to oompute the regression coefficients b, and b, bo and b, O (Round to two decimal places as needed.) Summated ratings and cost per person Summated Rating Cost (S per person)e 51 68 37 52 67 66 59 60 67 60 42 39 55 46 44 65 52 34 31 49 51 50 73 62 41 36 85 52 54 38 50 33 54 32 48 24 58 54 66 43 45 66 65 60 55 74 66 25 47 46
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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.
a. Construct a scatter plot. Choose the correct graph below.
O A.
B.
Oc.
OD.
A Cost (5)
90-
A Cost (5)
90- T
ACost (S)
90-
A Cost ($)
90-
04
90
Rating
0-
Rating
90
Rating
Rating
b. Assuming a linear relationship, use the least-squares method to compute the regression coefficients b, and b,.
bo =Dand b, =D
(Round to two decimal places as needed.)
%3D
Summated ratings and cost per person
Summated Rating Cost ($ per person) O
51
37
68
52
67
59
66
60
67
42
60
39
55
46
65
44
52
34
49
31
51
41
50
36
73
85
62
52
54
38
50
54
33
32
48
24
58
43
54
45
66
65
55
74
66
60
25
47
66
46
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