Can a pretest on mathaics skills predict success in a statistics course? The 82

Question

Can a pretest on mathaics skills predict success in a statistics course? The 82 students in an introductory statistics class took a pretest at the beginning of the semester. The least-squares regression line for predicting the score y on the final exam from the pretest score x was??9.8 + 0.76x. The standard error of b1 was 0.42. (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 O we reject Ho at the 5% significance level we do not reject Ho 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 Conclusion we could reject Ho at the 5% significance level. O we could not reject Ho at the 5% significance level.

Explanation / Answer

a)

t =estimated coefficient/std error =0.76/0.42=1.810

df =n-2=82-2=80

p value =0.0741

conclusion: we do not reject Ho at the 5% ........

b)

p value =0.0370 ( please try 0.0371 if this comes wrong)

conclusion : we could reject Ho at ,,,,,,,

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