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).

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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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