Question

D. Find a linear (regression) equation with following data.

x     y

70   25

65   20

60   30

50   35

45   40

Ans.: y = ( ) + ( ) * x.   Show your work.

Answer 1

Solution:

Given:

We are given following data set, we have to find a linear (regression) equation with following data.

x	y
70	25
65	20
60	30
50	35
45	40

Regression equation is :

where

Thus we need to make following table:

x	y	x^2	xy
70	25	4900	1750
65	20	4225	1300
60	30	3600	1800
50	35	2500	1750
45	40	2025	1800

Thus

Thus

and

where

Thus

Thus

( Round final answer to specified number of decimal places)