A hint to get started
Fit both regression directions and recover the means
Eight pairs of observations are given below.
| 16 | 7 |
| 13 | 17 |
| 16 | 12 |
| 15 | 11 |
| 16 | 18 |
| 12 | 10 |
| 17 | 17 |
| 15 | 12 |
(i) Find the regression line of on .
(ii) Find the regression line of on .
(iii) On a scatter diagram, sketch the two regression lines.
Use your answers in (i) and (ii) to find and .
CJC · Lecture · Example 3
Both fitted lines pass through the means. Retain full coefficients before finding their intersection.