Consider the multiple regression model shown next between the dependent variable Y and four independent variables X1, X2, X3, and X4, which results in the following function: Ŷ = 33 + 8X1 − 6X2 + 16X3 + 18X4 For this model, there were 35 observations; SSR = 1,544 and SSE = 600. Assume a 0.01 significance level. Based on the given information, which of the following conclusions is correct about the statistical significance of the overall model?   Multiple Choice   Reject the null hypothesis that β3 = 0.   Do not reject the null hypothesis that β1 = β2 = β3 = β4 = 0.   Reject the null hypothesis that β1 = 0.   Reject the null hypothesis that β1 = β2 = β3 = β4 = 0.

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Consider the multiple regression model shown next between the dependent variable Y and four independent variables X1, X2, X3, and X4, which results in the following function:

Ŷ = 33 + 8X1 − 6X2 + 16X3 + 18X4

For this model, there were 35 observations; SSR = 1,544 and SSE = 600. Assume a 0.01 significance level.

Based on the given information, which of the following conclusions is correct about the statistical significance of the overall model?

 

Multiple Choice
  •  

    Reject the null hypothesis that β3 = 0.

  •  

    Do not reject the null hypothesis that β1 = β2 = β3 = β4 = 0.

  •  

    Reject the null hypothesis that β1 = 0.

  •  

    Reject the null hypothesis that β1 = β2 = β3 = β4 = 0.

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