Given the regression model y = β₀+ β₁X₁+ β₂X₁²+ ε,if we wish to test the significance of X₁²,the appropriate null hypothesis is: A)H₀: X₁²= 0 B)H₀: β₂≠ 0 C)H₀: β₂≠ X₁² D)H₀: β₂= 0 E)H₀: β₂- X₁²= 0

Question

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To test the significance of a variable in a regression model, the null hypothesis typically posits that the coefficient of that variable is equal to zero. In this case, the variable in question is represented by the coefficient β₁₂, so the appropriate null hypothesis is that β₁₂ = 0, indicating that the variable has no effect.

Given the Regression Model Y = β0+ β1X1+ β2X12+ ε,If

Given the Regression Model Y = β₀+ β₁X₁+ β₂X₁²+ ε,If