Data Analysis

University students often complain that universities reward professors for research, but not for teaching, and argue that professors react to this situation by devoting more time and energy to the publication of their findings and less time and energy to classroom activities. Professors counter that research and teaching go hand in hand: More research makes better teachers. A student organization at one university decided to investigate the issue. They randomly selected 50 economics professors who are employed by a multi-campus university. The students recorded the salaries (in $ thousands) of the professors, their average teaching evaluations (on a 10-point scale), and the total number of journal articles published in their careers. Perform a complete analysis (produce the regression equation, access it, and report your findings). Data are listed below. Use a 5% significance level.

Salary
Evaluation
Articles

41.5
5.19
0

82.1
6.77
12

60
6.34
9

57.1
5.76
6

54.2
6.46
3

61.5
6.23
12

63.2
6.38
16

63.2
6.45
0

49.2
7.2
2

75.7
8.16
31

65.6
6.49
3

63.9
6.28
9

57
5.39
3

63.2
8.25
8

82.9
6.53
21

103.3
8.46
42

83.7
9.48
29

59.5
7.01
4

65.7
6.8
11

52.3
6.2
7

70.4
6.01
20

58.1
6.24
5

75
7.99
22

49.9
5.58
1

85
6.93
28

88.4
7.35
22

58.4
5.81
2

83
7.18
16

77.3
7.38
18

50.9
5.74
4

57
6.61
4

45.5
7.4
4

51.1
5.83
1

69.8
6.85
8

60.3
6.63
9

55.3
5.23
5

61.8
5.4
14

50.5
6.52
15

80.1
7.39
34

71.1
7.77
19

59.6
5.06
5

59.2
4.31
1

52
5.83
0

87.2
6.48
23

65.3
5.5
14

49.8
5.13
2

58
6.14
9

74.2
6.88
14

65.7
5.02
9

60
6.05
4