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The Following Data Are Available for a Simple Linear Regression

Question 49

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The following data are available for a simple linear regression analysis attempting to link hours of training (x) to hourly output (y) . The following data are available for a simple linear regression analysis attempting to link hours of training (x)  to hourly output (y) .   In applying the least squares criterion, the slope (b)  and the intercept (a)  for the best-fitting line are b = 2.4 and a = 3.6.Set up a hypothesis test to determine whether you can reject the hypothesis that the population slope, β, is 0 at the 5% significance level.Compute the value of the appropriate sample test statistic, t<sub>sta</sub><sub>t</sub>, and use it to reach the proper conclusion. A) Since t<sub>stat</sub> is outside the critical values of ±3.213, we can reject the β=0 null hypothesis. B) Since t<sub>stat</sub> is between the critical values of ±3.213, we can't reject the β=0 null hypothesis. C) Since t<sub>stat</sub> is outside the critical values of ±4.403, we can reject the β=0 null hypothesis. D) Since t<sub>stat</sub> is between the critical values of ±4.403, we can't reject the β=0 null hypothesis. In applying the least squares criterion, the slope (b) and the intercept (a) for the best-fitting line are b = 2.4 and a = 3.6.Set up a hypothesis test to determine whether you can reject the hypothesis that the population slope, β, is 0 at the 5% significance level.Compute the value of the appropriate sample test statistic, tstat, and use it to reach the proper conclusion.


A) Since tstat is outside the critical values of ±3.213, we can reject the β=0 null hypothesis.
B) Since tstat is between the critical values of ±3.213, we can't reject the β=0 null hypothesis.
C) Since tstat is outside the critical values of ±4.403, we can reject the β=0 null hypothesis.
D) Since tstat is between the critical values of ±4.403, we can't reject the β=0 null hypothesis.

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