A prospective MBA student would like to examine the factors that impact starting salary upon graduation and decides to develop a model that uses program per-year tuition as a predictor of starting salary. Data were collected for 37 full-time MBA programs offered at private universities. The results are displayed in the accompanying table, and the regression equation and other values are provided. Use this information to complete parts (a) through (c) below. Y = -12,195.7 +2.4032X; n n Σ Υ = 4,230,133, Σ γ = 520,438,426,235, i=1 i=1 Click the icon to view the data table. n i=1 XY₁ = 234,279,400,152 a. Determine the coefficient of determination, r², and interpret its meaning. 2= (Round to four decimal places as needed.) What is the meaning of the coefficient of determination?

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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Question
2
3
4
5
600
7
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
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B2
33
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39
Program Per-Year Tuition ($)
62436
66187
65512
69353
66293
65078
66408
68351
65448
63589
65806
60374
60312
57998
53728
56898
56525
51598
53632
51728
45873
47084
50878
46636
39456
48980
47176
50769
36955
33836
42408
43177
50120
34954
22731
40127
39535
B
Mean Starting Salary Upon Graduation ($)
151351
152400
145418
146395
141355
150629
149034
149346
138484
145576
143848
143832
138034
140859
121773
118826
129034
128982
133093
125595
113262
108755
113320
109666
83168
82609
102431
78076
83533
74662
74116
54936
66331
104071
55340
77274
54719
U
D
E
F
TI
G
H
J
Transcribed Image Text:2 3 4 5 600 7 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 B2 33 34 35 36 37 38 39 Program Per-Year Tuition ($) 62436 66187 65512 69353 66293 65078 66408 68351 65448 63589 65806 60374 60312 57998 53728 56898 56525 51598 53632 51728 45873 47084 50878 46636 39456 48980 47176 50769 36955 33836 42408 43177 50120 34954 22731 40127 39535 B Mean Starting Salary Upon Graduation ($) 151351 152400 145418 146395 141355 150629 149034 149346 138484 145576 143848 143832 138034 140859 121773 118826 129034 128982 133093 125595 113262 108755 113320 109666 83168 82609 102431 78076 83533 74662 74116 54936 66331 104071 55340 77274 54719 U D E F TI G H J
A prospective MBA student would like to examine the factors that impact starting salary upon graduation and decides to develop a model that uses program per-year
tuition as a predictor of starting salary. Data were collected for 37 full-time MBA programs offered at private universities. The results are displayed in the
accompanying table, and the regression equation and other values are provided. Use this information to complete parts (a) through (c) below.
Y₁ = -12,195.7+2.4032X;
n
n
n
Σ Υ =4,230,133, Σ γ = 520,438,426,235, Σ XY = 234,279,400,152
i=1
i=1
i=1
Click the icon to view the data table.
a. Determine the coefficient of determination, r², and interpret its meaning.
(Round to four decimal places as needed.)
What is the meaning of the coefficient of determination?
Transcribed Image Text:A prospective MBA student would like to examine the factors that impact starting salary upon graduation and decides to develop a model that uses program per-year tuition as a predictor of starting salary. Data were collected for 37 full-time MBA programs offered at private universities. The results are displayed in the accompanying table, and the regression equation and other values are provided. Use this information to complete parts (a) through (c) below. Y₁ = -12,195.7+2.4032X; n n n Σ Υ =4,230,133, Σ γ = 520,438,426,235, Σ XY = 234,279,400,152 i=1 i=1 i=1 Click the icon to view the data table. a. Determine the coefficient of determination, r², and interpret its meaning. (Round to four decimal places as needed.) What is the meaning of the coefficient of determination?
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