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The Following Data Are Available for a Simple Linear Regression

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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.

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Increasing-Cost Industry

An industry in which production costs increase as output expands, often due to scarce resources or rising input prices.

Industry Expands

The process of a sector in the economy growing due to an increase in demand, production, and often, employment.

Allocative Efficiency

A state of the economy where the distribution of resources among different uses is optimal, ensuring that the goods being produced are what consumers prefer the most.

Producing Output

The process of generating goods or services as the result of economic activity.

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