(See Solution) - Faculty salaries Here are the salaries for a sample of professors in a mathematics department at a large Midwestern university for the academic
Question: – Faculty salaries
Here are the salaries for a sample of professors in a mathematics department at a large Midwestern university for the academic years 2014-2015 and 2015-2016.
|
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 |
- Construct a scatterplot with the 2015-2016 salaries on the vertical axis and the 2014-2015 salaries on the horizontal axis.
- Comment on the form, direction, and strength of the relationship in your scatterplot.
- Find the least-squares regression line for predicting 2015-2016 salaries from 2014-2015 salaries.
- What proportion of the variation in 2015-2016 salaries is explained by 2014-2015 salaries?
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