Regression coefficient is zeroI am trying to construct a quadratic regression model for a data as Y = α 0 + α 1 X 1 + α 2 X 2 + α 3 X 1 X 2 + α 4 X 1 2 + α 5 X 2 2 I am getting coefficient of X 1 2 ( → α 4 ) = 0.00000006 ≈ 0.. How can we interpret this model for X 1 2 term? What is the impact of α 4 = 0 for the model? Adjusted R 2 = 0.9988

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Regression coefficient is zeroI am trying to construct a quadratic regression model for a data as  Y  =      α    0    +      α    1        X    1    +      α    2        X    2    +      α    3        X    1        X    2    +      α    4        X    1    2    +      α    5        X    2    2  I am getting coefficient of       X    1    2    (  →      α    4    )  =  0.00000006  ≈  0.. How can we interpret this model for       X    1    2   term? What is the impact of       α    4    =  0 for the model? Adjusted       R    2    =  0.9988

engaliar0l · Accepted Answer

It implies that there is no quadratic relationship between       X    1   and Y given   (      X    1    ,      X    2    ,      X    1        X    2    ,      X    2    2    ), thus the best approximation of the true process with the variables   (      X    1    ,      X    2    ,      X    1        X    2    ,      X    1    2    ,      X    2    2    ) is  Y  =      α    0    +      α    1        X    1    +      α    2        X    2    +      α    3        X    1        X    2    +      α    5        X    2    2

Regression coefficient is zero I am trying to construct a quadratic regression model for a data a

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