Question

To identify high-paying jobs for people that do not like stress, the following data were collected showing the average annual salary ($1000) and the stress tolerance for a variety of occupations (Business Insider, November 8, 2013). The stress tolerance for each job is rated on a scale from 0 to 100, where a lower rating indicates less stress.

Job Average Annual Salary ($1000s) Stress Tolerance
Art directors 81 69
Astronomers 96 62
Audiologists 70 67.5
Dental hygienists 70 71.3
Economists 70 63.3
Engineers 92 69.5
Law teachers 92 62.8
Optometrists 100 65.5
Political scientists 98 60.1
Urban and regional planners 102 69

Required:
Draw scatter diagram for these data with average annual salary as the independent variable.

Answer 1

Y = -0.09594X + 74.35629

Explanation:

Given the data :

Job average annual salary (X) :

81

96

70

70

70

92

92

100

98

102

Stress tolerance (Y) :

69

62

67.5

71.3

63.3

69.5

62.8

65.5

60.1

69

Using technology, the linear model Obtian by fitting the given data is :

Y = -0.09594X + 74.35629 ;

Where ;

Y = stress tolerance (dependent variable)

X= Average annual salary (Independent variable)

Slope = 0.09594

Intercept = 74.35629