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Consider the Following Regression Results Based on 30 Observations

Question 54

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Consider the following regression results based on 30 observations. Consider the following regression results based on 30 observations. = 238.33 - 0.95x<sub>1</sub> + 7.13x<sub>2 </sub>+ 4.76x<sub>3</sub>; SSE = 3,439 = 209.56 - 1.03x<sub>1</sub> + 5.24(x<sub>2</sub> + x<sub>3</sub>); SSE = 3,559 A) Formulate the hypotheses to determine whether the influences of x<sub>2 </sub>and x<sub>3</sub> differ in explaining y. B) Calculate the value of the test statistic. C) At the 5% significance level, find the critical value(s). D) What is your conclusion to the test? = 238.33 - 0.95x1 + 7.13x2 + 4.76x3; SSE = 3,439 Consider the following regression results based on 30 observations. = 238.33 - 0.95x<sub>1</sub> + 7.13x<sub>2 </sub>+ 4.76x<sub>3</sub>; SSE = 3,439 = 209.56 - 1.03x<sub>1</sub> + 5.24(x<sub>2</sub> + x<sub>3</sub>); SSE = 3,559 A) Formulate the hypotheses to determine whether the influences of x<sub>2 </sub>and x<sub>3</sub> differ in explaining y. B) Calculate the value of the test statistic. C) At the 5% significance level, find the critical value(s). D) What is your conclusion to the test? = 209.56 - 1.03x1 + 5.24(x2 + x3); SSE = 3,559
A) Formulate the hypotheses to determine whether the influences of x2 and x3 differ in explaining y.
B) Calculate the value of the test statistic.
C) At the 5% significance level, find the critical value(s).
D) What is your conclusion to the test?

Correct Answer:

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a. H0: β2 = β3; HA: β2 ≠ β3.
b. F(1,26) = ...

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