The following dataset contains data from 20 San Jose State University graduating seniors who were asked to report their high school GPA (first column) and their current college GPA (second column).
| High School GPA |
Current GPA |
| 1.2 |
1.6 |
| 1.4 |
1.6 |
| 1.6 |
2 |
| 1.6 |
2.1 |
| 2 |
2.2 |
| 2.3 |
2.8 |
| 2.3 |
2.7 |
| 2.5 |
2.1 |
| 2.8 |
3.2 |
| 2.8 |
2.8 |
| 2.8 |
3.1 |
| 3 |
3.8 |
| 3.1 |
3.5 |
| 3.2 |
3.2 |
| 3.3 |
3.7 |
| 3.5 |
3.9 |
| 3.5 |
3.1 |
| 3.5 |
3.8 |
| 3.8 |
3.9 |
| 3.9 |
4 |
a) Make a scatter plot of this data with High School GPA on the X-axis and College GPA on the Y-axis.
b) Give the equation of the least squares regression line.
c) What is the slope of the least squares regression line?
d) Interpret the slope of the least squares regression line.
e) Is the data represented well by a linear equation?
f) Use the least squares regression line to predict the college GPA of a student who had a high school GPA of 2.7.