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Needing a Simple Cost Estimator for Commercial Construction Costs in the City

Question 84

Multiple Choice

Needing a simple cost estimator for commercial construction costs in the city, you hope to find a useful linear relationship between cost (y) and floor space (x) .You have data from a sample of four recently completed building projects: Needing a simple cost estimator for commercial construction costs in the city, you hope to find a useful linear relationship between cost (y)  and floor space (x) .You have data from a sample of four recently completed building projects:   The estimated regression equation turns out to be y = 24 + 1.6x and s<sub>b</sub>= 1.13.Construct an appropriate hypothesis test to determine whether we can use the sample data here to reject a β = 0 null hypothesis at the 5% significance level.Report your conclusion. A) Since t<sub>stat</sub> is outside the critical values of ±3.182, we can reject the β=0 null hypothesis. B) Since t<sub>stat</sub> is outside the critical values of ±4.362, we can reject the β=0 null hypothesis. C) Since t<sub>stat</sub> is not outside the critical values of ±4.303, we can't reject the β=0 null hypothesis. D) Since t<sub>stat</sub> is not outside the critical values of ±2.182, we can't reject the β=0 null hypothesis. The estimated regression equation turns out to be y = 24 + 1.6x and sb= 1.13.Construct an appropriate hypothesis test to determine whether we can use the sample data here to reject a β = 0 null hypothesis at the 5% significance level.Report your conclusion.


A) Since tstat is outside the critical values of ±3.182, we can reject the β=0 null hypothesis.
B) Since tstat is outside the critical values of ±4.362, we can reject the β=0 null hypothesis.
C) Since tstat is not outside the critical values of ±4.303, we can't reject the β=0 null hypothesis.
D) Since tstat is not outside the critical values of ±2.182, we can't reject the β=0 null hypothesis.

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