(a) Test the null hypothesis that there is no linear relationship between the pr

Question

(a) Test the null hypothesis that there is no linear relationship between the pretest score and the score on the final exam against the two-sided alternative. (Round your test statistic to three decimal places and your P-value to four decimal places.)

Conclusion (choose the correct answer below)

We reject H0 at the 5% significance level.

We do not reject H0 at the 5% significance level.     

(b) Would you reject this null hypothesis versus the one-sided alternative that the slope is positive? Explain your answer.
P =  

Conclusion (choose the correct answer below)

We could reject H0 at the 5% significance level.

We could not reject H0 at the 5% significance level.

Explanation / Answer

we know for a linear regression the test value is calculated from the below formulae

t = b1 / SE

a) The P-Value is .089135.

The result is not significant at p < .05

Do not reject Null hypothesis

b) The P-Value is .044567.

The result is significant at p < .05

Reject NUll hypotheses at alpha = 0.05

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