Question

A random sample of 9 statistics students produced the following data,

ME Score, x	FE Score, y
48	74
75	67
22	36
49	64
16	49
25	90
80	29
44	30
61	46

where x measures the me score and y measures the fe score. What is the estimate of the y = a x + b regression slope coefficient?

Answer 1

Solution :

The regression line is as follows :

y = a + bx

According to principle of least square, the estimate of the regression slope coefficient is given as follows :

From the above table we have,

and n = 9

The estimate of the regression slope coefficient is -0.156.