The multiple linear regression model y 0 1x1 2x2 3x3 is fitted to a data set of n 44 observations The parameter estimates 1 11 64, p 132 9, and 3 0 775 are obtained with standard errors s e ( 1) 1 03, s e ( 2) 22 8, and s e ( 3) 0 671 Should any of the variables x1, x2, and x3 be removed from the model

Question: The multiple linear regression model y = 0 + 1x1 + 2x2 + 3x3 is fitted to a data set of n = 44 observations.

The multiple linear regression model
y = β0 + β1x1 + β2x2 + β3x3
is fitted to a data set of n = 44 observations. The parameter estimates β1 = 11.64, p% = 132.9, and β3 = 0.775 are obtained with standard errors s.e.(β^1) = 1.03, s.e.( β^2) = 22.8, and s.e.( β^3) =0.671. Should any of the variables x1, x2, and x3 be removed from the model?

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