Question

In: Statistics and Probability

D. Find a linear (regression) equation with following data. x     y 70   25 65   20 60  ...

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.

Solutions

Expert Solution

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)


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