Many factors, such as the type of job, education level, and job experience, can affect the stress felt by workers on the job. Locus of control (LOC) is a term in psychology that describes the extent to which a person believes he or she is in control of the events that influence his or her life. Is feeling "more in control" associated with less job stress? A recent study examined the relationship between LOC and several work-related behavioral measures among certified public accountants in Taiwan. LOC was assessed using a questionnaire that asked respondents to select one of two options for each of 23 items. Scores ranged from 0 to 23. Individuals with low LOC believe that their own behavior and attributes determine their rewards in life. Those with high LOC believe that these rewards are beyond their control. Each accountant's job stress was assessed using the averaged score on 22 items, each scored on a five-point scale. The higher the score, the higher the perceived job stress. We will consider a random sample of 100 accountants.

*Need SAS Code Script*

a) Make a scatter plot of the data (including the least squares regression line) with LOC on the x axis and Stress on the Y axis. Briefly describe the relationship between the job stress and LOC.

b) Compute the correlation coefficient between Stress vs. LOC.

c) Find the equation of the least-squares regression line for predicting Stress from

LOC.

d) What isr2for these data?

e) Obtain the residuals and plot them versus LOC. Is there anything unusual to report?

Please explain.

f) Do the residuals appear to be approximately Normal? Explain your answer.

g) Based on your answers for parts (a), (e) and (f), do the assumptions for the linear regression analysis appear reasonable? Explain your answer.

h) Construct and interpret the 95% confidence interval for the slope and y-intercept.

i) Does Job Stress increase with LOC? Carry out a test of significance on the slope.

State hypotheses, give a test statistic andP-value, and state your conclusion.

j) Briefly summarize what your data analysis shows.

data:

subj LOC STRESS

1 17 2.59091

2 14 2.45455

3 3 2.68182

4 7 3.18182

5 6 2.54545

6 4 2.72727

7 8 2.59091

8 13 2.31818

9 8 3.45455

10 11 3.31818

11 15 2.95455

12 13 1.72727

13 6 2.27273

14 13 2.59091

15 15 3.04545

16 9 3.04545

17 17 3.5

18 10 2.81818

19 11 2.54545

20 16 2.36364

21 15 2.72727

22 13 2.86364

23 17 2.90909

24 7 2.90909

25 8 2.31818

26 9 3.45455

27 12 2.63636

28 11 2.5

29 5 2.5

30 15 2.81818

31 20 2.81818

32 13 3.04545

33 10 2.31818

34 10 3.27273

35 14 3.13636

36 15 3.31818

37 8 2.40909

38 9 2.68182

39 11 2.86364

40 11 3.09091

41 17 3.81818

42 12 2.13636

43 17 3.31818

44 5 2.90909

45 11 2.09091

46 12 2.77273

47 11 2.36364

48 12 2.36364

49 10 1.90909

50 14 2.63636

51 10 2.68182

52 11 2.45455

53 10 2.63636

54 13 2.59091

55 13 2.40909

56 7 2.63636

57 8 2.31818

58 10 2.04545

59 14 3.63636

60 9 2.18182

61 11 2.72727

62 14 2.86364

63 11 2.09091

64 12 2.09091

65 8 2.90909

66 8 2.04545

67 12 2.86364

68 9 1.86364

69 11 2.09091

70 15 2.5

71 12 2.22727

72 19 3.40909

73 15 3.54545

74 12 2.18182

75 9 1.59091

76 10 2.77273

77 12 2.86364

78 14 3.68182

79 14 3

80 12 2.68182

81 6 2.27273

82 10 2.77273

83 9 3.04545

84 17 2.13636

85 10 2.95455

86 17 3.27273

87 13 3.63636

88 22 3.04545

89 2 2.59091

90 10 2.77273

91 11 2.27273

92 9 3.68182

93 11 2.90909

94 13 2.72727

95 6 2.36364

96 13 2.68182

97 9 2.68182

98 13 2.40909

99 18 3.54545

100 6 2.04545