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The Following Data Have Been Collected for a Simple Linear

Question 58

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The following data have been collected for a simple linear regression analysis relating sales (y) to price (x) : The following data have been collected for a simple linear regression analysis relating sales (y)  to price (x) :   In applying the least squares criterion, the slope (b)  and the intercept (a)  for the best-fitting line are b = -12 and a = 162.You are to conduct a hypothesis test to determine whether you can reject the null hypothesis that the population slope, β, is 0 at the 1% significance level.Compute the value of the sample test statistic, t<sub>stat</sub>, and use it to reach the proper conclusion. A) Since t<sub>stat</sub> is inside the critical ±9.925 boundaries, we can't reject the β = 0 null hypothesis. B) Since t<sub>stat</sub> is outside the critical ±9.925 boundaries, we can reject the β = 0 null hypothesis. C) Since t<sub>stat</sub> is inside the critical ±7.845 boundaries, we can't reject the β = 0 null hypothesis. D) Since t<sub>stat</sub> is inside the critical ±7.845 boundaries, we can 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 = -12 and a = 162.You are to conduct a hypothesis test to determine whether you can reject the null hypothesis that the population slope, β, is 0 at the 1% significance level.Compute the value of the sample test statistic, tstat, and use it to reach the proper conclusion.


A) Since tstat is inside the critical ±9.925 boundaries, we can't reject the β = 0 null hypothesis.
B) Since tstat is outside the critical ±9.925 boundaries, we can reject the β = 0 null hypothesis.
C) Since tstat is inside the critical ±7.845 boundaries, we can't reject the β = 0 null hypothesis.
D) Since tstat is inside the critical ±7.845 boundaries, we can reject the β = 0 null hypothesis.

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