MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question
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.
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.
90+
0
0
Cost ($)
The
M
Rating
90
Q
O B.
A Cost (5)
90+
0
H
+4
Alpe
Rating
90
Q
b. Assuming a linear relationship, use the least-squares method to compute the regression coefficients bo and b₁.
bo= and b₁ =
(Round to two decimal places as needed.)
C
O C.
90+
0-
Cost (S)
HA
Rating
90
Q
Summated Ratings and Cost Per Person
Summated Rating Cost ($ per person)
40
48
60
61
42
40
43
55
67
69
66
63
61
55
61
50
48
53
51
75
63
55
51
57
46
57
54
67
63
52
74
69
Print
43
35
35
42
37
85
51
39
33
31
23
43
46
64
59
27
49
49
- X
Done
expand button
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. 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. 90+ 0 0 Cost ($) The M Rating 90 Q O B. A Cost (5) 90+ 0 H +4 Alpe Rating 90 Q b. Assuming a linear relationship, use the least-squares method to compute the regression coefficients bo and b₁. bo= and b₁ = (Round to two decimal places as needed.) C O C. 90+ 0- Cost (S) HA Rating 90 Q Summated Ratings and Cost Per Person Summated Rating Cost ($ per person) 40 48 60 61 42 40 43 55 67 69 66 63 61 55 61 50 48 53 51 75 63 55 51 57 46 57 54 67 63 52 74 69 Print 43 35 35 42 37 85 51 39 33 31 23 43 46 64 59 27 49 49 - X Done
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