a)     What kind of relationship exist between the exam scores and the clas sizes? Interpret the regression.   b)    Conduct the following hypothesis test at the 1% significance level:  H0 : b1 ≥ 0  H1 : b1 < 0 In your answer draw the distribution of the test statistic that you use, and clearly define the rejection region(s), indicating the critical value(s).

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter4: Graphing And Inverse Functions
Section: Chapter Questions
Problem 6GP: If your graphing calculator is capable of computing a least-squares sinusoidal regression model, use...
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Suppose you estimated the relationship between the exam scores and class sizes.

     score^ = b0 + b1*Size + e^

Based on the OLS estimate, you obtain the following standard errors and parameter estimates:

  b0= 95;     se(b0) = 30 ;   b1= −1.2;   se(b1 ) = 0.4 ;     n = 25

 a)     What kind of relationship exist between the exam scores and the clas sizes? Interpret the regression. 

 b)    Conduct the following hypothesis test at the 1% significance level:

 H0 : b1 ≥ 0

 H1 : b1 < 0

In your answer draw the distribution of the test statistic that you use, and clearly define the rejection region(s), indicating the critical value(s). 

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