Question 2.128

2.128 Faculty salaries

Data on the salaries of a sample of professors in a business department at a large university are given below. The salaries are for the academic years 2014–2015 and 2015–2016. image

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2014–2015
salary ($)
2015–2016
salary ($)
2014–2015
salary ($)
2015–2016
salary ($)
145,700 147,700 136,650 138,650
112,700 114,660 132,160 134,150
109,200 111,400 74,290 76,590
98,800 101,900 74,500 77,000
112,000 113,000 83,000 85,400
111,790 113,800 141,850 143,830
103,500 105,700 122,500 124,510
149,000 150,900 115,100 117,100
  1. Construct a scatterplot with the 2015–2016 salaries on the vertical axis and the 2014–2015 salaries on the horizontal axis.
  2. Comment on the form, direction, and strength of the relationship in your scatterplot.
  3. What proportion of the variation in 2015–2016 salaries is explained by 2014–2015 salaries?