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In: Statistics and Probability

how do we estimate variance in linear regression.( what is the formula for estimating variance in...

how do we estimate variance in linear regression.( what is the formula for estimating variance in simple and linear regression)

Solutions

Expert Solution

Step 1:

The Linear Regression Model is given by:

                                      i = 1,2,...n

where

is response (dependent) variable

is predictor (independent) variable

is error

a = itercept

b = slope

Step 2:

Total Variation:

Step 3:

Variation explained by Linear Model:

Step 4:

Step 5:

Formula for Estimation of Variance in Simple and Linear Regression is given by:

orchestra answered 2 years ago
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