A common complaint of university students is that tenure-track instructors care a lot more about their research than their teaching and general availability to students. The attached contains hypothetical data on 75 tenure-track instructors where you can check whether these complaints are justified. The explanatory variables are (1) whether the instructor holds regular office hours, (2) average teaching evaluation on a 1–6 scale, and (3) number of published articles. The dependent variable is the instructor’s current annual salary. Use regression on this data set and comment on the results. In particular, can Salary be explained almost as well by the number of articles as by all three explanatory variables combined?

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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A common complaint of university students is that tenure-track instructors care a lot more about their research than their teaching and general availability to students. The attached contains hypothetical data on 75 tenure-track instructors where you can check whether these complaints are justified. The explanatory variables are (1) whether the instructor holds regular office hours, (2) average teaching evaluation on a 1–6 scale, and (3) number of published articles. The dependent variable is the instructor’s current annual salary. Use regression on this data set and comment on the results. In particular, can Salary be explained almost as well by the number of articles as by all three explanatory variables combined?

Instructor Office Hours
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
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
No
No
Yes
Yes
No
Yes
Yes
No
Yes
No
No
No
No
Yes
No
Yes
Yes
No
Yes
No
Yes
Yes
No
Yes
No
No
No
No
No
Yes
Yes
Yes
Yes
No
No
Yes
Yes
Yes
No
No
No
Yes
Yes
No
No
No
Yes
No
Yes
Yes
Yes
Yes
No
No
Yes
Yes
Yes
No
Yes
No
No
Yes
Yes
No
No
Yes
Yes
No
Yes
Yes
Yes
No
Yes
No
Yes
Evaluation
3.03
4.25
3.95
3.34
4.05
3.82
4.07
3.71
4.39
4.58
3.76
3.46
2.99
5.37
3.67
4.96
5.48
4.37
3.67
3.95
3.88
3.92
4.79
3.21
4.1
4.02
3.5
4.65
4.1
3.51
4.2
4.22
3.65
4.42
3.85
2.85
3.55
3.79
4.06
4.44
3.32
2.54
3.52
3.92
3.23
3.22
3.63
4.1
2.78
3.58
3.32
4.13
2.72
4.18
4.05
4.06
4.53
4.42
4.08
5.14
2.81
3.38
4.22
3.57
4.17
4.35
4.31
4.21
3.8
4.13
3.8
3.8
4.25
3.33
5.76
Articles
0
10
8
10
5
14
15
0
4
35
1
8
1
10
18
42
25
2
7
10
GGUNA ∞0 5 5
19
24
31
22
15
15
5
1
3
0
5
12
1
13
14
33
20
9
0
1
25
13
1
13
14
8
6
6
12
1
4
9
5
2
33
7
26
0
0
15
11
10
2
13
23
18
13
9
17
7
9
12
Salary
69.4
101.3
91.7
87
94.1
91.6
114.5
84.7
68.3
133.1
80.9
105.1
91.6
107.7
140.7
154.5
151.3
75.1
88.5
96.9
122.8
93.5
133.3
92.1
159.1
133.9
93.8
119.5
101.4
70
73.1
82.8
58
93.6
88.2
61.4
85.2
100.5
152.9
125.2
89.4
71.6
73.7
136.2
105.6
84
98.2
103.1
88.6
103.4
85.3
88.2
72.2
86.7
92.1
95.4
72.2
131.7
99.5
125.2
73.6
70.8
94.4
87.8
115.5
84.2
100.3
116.3
111.3
93.5
94.5
119.1
99.6
87.2
102.8
Transcribed Image Text:Instructor Office Hours 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 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 No No Yes Yes No Yes Yes No Yes No No No No Yes No Yes Yes No Yes No Yes Yes No Yes No No No No No Yes Yes Yes Yes No No Yes Yes Yes No No No Yes Yes No No No Yes No Yes Yes Yes Yes No No Yes Yes Yes No Yes No No Yes Yes No No Yes Yes No Yes Yes Yes No Yes No Yes Evaluation 3.03 4.25 3.95 3.34 4.05 3.82 4.07 3.71 4.39 4.58 3.76 3.46 2.99 5.37 3.67 4.96 5.48 4.37 3.67 3.95 3.88 3.92 4.79 3.21 4.1 4.02 3.5 4.65 4.1 3.51 4.2 4.22 3.65 4.42 3.85 2.85 3.55 3.79 4.06 4.44 3.32 2.54 3.52 3.92 3.23 3.22 3.63 4.1 2.78 3.58 3.32 4.13 2.72 4.18 4.05 4.06 4.53 4.42 4.08 5.14 2.81 3.38 4.22 3.57 4.17 4.35 4.31 4.21 3.8 4.13 3.8 3.8 4.25 3.33 5.76 Articles 0 10 8 10 5 14 15 0 4 35 1 8 1 10 18 42 25 2 7 10 GGUNA ∞0 5 5 19 24 31 22 15 15 5 1 3 0 5 12 1 13 14 33 20 9 0 1 25 13 1 13 14 8 6 6 12 1 4 9 5 2 33 7 26 0 0 15 11 10 2 13 23 18 13 9 17 7 9 12 Salary 69.4 101.3 91.7 87 94.1 91.6 114.5 84.7 68.3 133.1 80.9 105.1 91.6 107.7 140.7 154.5 151.3 75.1 88.5 96.9 122.8 93.5 133.3 92.1 159.1 133.9 93.8 119.5 101.4 70 73.1 82.8 58 93.6 88.2 61.4 85.2 100.5 152.9 125.2 89.4 71.6 73.7 136.2 105.6 84 98.2 103.1 88.6 103.4 85.3 88.2 72.2 86.7 92.1 95.4 72.2 131.7 99.5 125.2 73.6 70.8 94.4 87.8 115.5 84.2 100.3 116.3 111.3 93.5 94.5 119.1 99.6 87.2 102.8
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