Question

The marks obtained by 6 students in two class tests denoted by x and y, are as follows : 

x 6 5 8 10 4 9 

y 8 6 7 10 6 8 

Obtain the least square regression line of y on x.

Answer 1

$y=mx+b$

$m=\frac{N\sum (xy)-\sum x\sum y}{N\sum x^2-(\sum x)^2}$

$b=\frac{\sum y-m\sum x}{N}$

Using calculator www.socscistatistics.com, we get:

$m=0.536, b=3.75$

$y=0.536x+3.75$