a. determine the coefficient of determination, r², and interpret its meaning. b. determine the standard error of the estimate. c. How useful do you think this regression model is for predicting starting salary?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Question
a prospective MBA student wanted to predict starting salary upon graduation, based on
program per-year tuition (stored in FTMBA). Using the results of that problem,
School
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
Tuition per
year (5)
63675
67516
66540
67938
66462
66540
66390
68792
64200
63200
66588
61584
61440
57000
55050
55400
55474
51900
53000
50326
46000
47340
49800
45976
37996
47600
46860
49959
38250
33328
43290
41804
49400
33996
23020
41490
39100
Average
GMAT score
729
730
726
724
728
737
717
720
725
695
710
700
606
683
692
688
691
690
683
667
682
621
642
641
651
632
623
622
558
567
498
482
486
545
Acceptance Graduates employed at Average starting salary
graduation (1)
and bonus (5)
Rate (5)
10.7
19.6
23.6
11.7
20.1
6.0
22.4
14.1
19.0
22.1
23.1
27.6
30.3
33.1
44.6
29.7
33.3
45.5
26.6
41.0
33.6
38.2
37.1
38.6
40.0
56.3
54.9
63.1
64.3
58.5
55.7
52.0
82.9
33.7
90.2
59.3
94.5
85.8
84.9
81.2
82.8
62.8
86.8
77.3
76.0
83.1
82.1
79.8
76.0
84.0
78.5
75.2
80.3
75.2
75.7
78.6
75.3
65.7
60.7
63.6
56.5
68.4
53.6
60.0
94.9
18.9
63.6
26.7
54.2
61.8
35.7
42.6
153830
155058
147475
143565
141694
153553
148997
150229
135988
144799
145413
146252
140289
138864
124417
115830
126932
129587
131829
122791
113515
109267
111165
108347
80249
80249
101799
76455
86123
73646
75879
52190
64891
102156
55918
80000
53848
a. determine the coefficient of determination, r, and interpret its meaning.
b. determine the standard error of the estimate.
c. How useful do you think this regression model is for predicting starting salary?
Transcribed Image Text:a prospective MBA student wanted to predict starting salary upon graduation, based on program per-year tuition (stored in FTMBA). Using the results of that problem, School 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 Tuition per year (5) 63675 67516 66540 67938 66462 66540 66390 68792 64200 63200 66588 61584 61440 57000 55050 55400 55474 51900 53000 50326 46000 47340 49800 45976 37996 47600 46860 49959 38250 33328 43290 41804 49400 33996 23020 41490 39100 Average GMAT score 729 730 726 724 728 737 717 720 725 695 710 700 606 683 692 688 691 690 683 667 682 621 642 641 651 632 623 622 558 567 498 482 486 545 Acceptance Graduates employed at Average starting salary graduation (1) and bonus (5) Rate (5) 10.7 19.6 23.6 11.7 20.1 6.0 22.4 14.1 19.0 22.1 23.1 27.6 30.3 33.1 44.6 29.7 33.3 45.5 26.6 41.0 33.6 38.2 37.1 38.6 40.0 56.3 54.9 63.1 64.3 58.5 55.7 52.0 82.9 33.7 90.2 59.3 94.5 85.8 84.9 81.2 82.8 62.8 86.8 77.3 76.0 83.1 82.1 79.8 76.0 84.0 78.5 75.2 80.3 75.2 75.7 78.6 75.3 65.7 60.7 63.6 56.5 68.4 53.6 60.0 94.9 18.9 63.6 26.7 54.2 61.8 35.7 42.6 153830 155058 147475 143565 141694 153553 148997 150229 135988 144799 145413 146252 140289 138864 124417 115830 126932 129587 131829 122791 113515 109267 111165 108347 80249 80249 101799 76455 86123 73646 75879 52190 64891 102156 55918 80000 53848 a. determine the coefficient of determination, r, and interpret its meaning. b. determine the standard error of the estimate. c. How useful do you think this regression model is for predicting starting salary?
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