Porisma

A hint to get started

Fit both regression directions and recover the means

Eight pairs of observations are given below.

xxyy
167
1317
1612
1511
1618
1210
1717
1512

(i) Find the regression line of yy on xx.

(ii) Find the regression line of xx on yy.

(iii) On a scatter diagram, sketch the two regression lines.

Use your answers in (i) and (ii) to find xˉ\bar x and yˉ\bar y.

CJC · Lecture · Example 3

Both fitted lines pass through the means. Retain full coefficients before finding their intersection.

Read the worked solution