In the simple linear regression model,

I know we lose 2 degrees of freedom because of the estimation of the regression coefficients, 0 and 1.

Can you lose a 3rd degrees of freedom for adding 2?

The question i am am trying to answer. Is the below statement TRUE or FALSE?

In simple linear regression models, we lose three degrees of freedom when estimating the variance of the error terms because of the estimation of the three model parameters0,1,2

Would like to understand the why behind the solution. Thank you

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