Question

From the data on 10 students it was found that the sample linear correlation coefficient (r) between their Math scores and English scores was 0.75.

a) Overall if the Math Score increases, does the English score increase or decrease? b)(b) At a=0.10, what is the critical value of the correlation coefficient (r a/2

(c) From the result of part (b), do you conclude that there is a significant linear correlation between Math and English scores in general? (Answer YES or NO and provide a 1-sentence explanation why)

Answer 1

a) Overall if the Math Score increases, does the English score increase or decrease?

Increase

b)(b) At a=0.10, what is the critical value of the correlation coefficient (r a/2

0.549

(c) From the result of part (b), do you conclude that there is a significant linear correlation between Math and English scores in general? (Answer YES or NO and provide a 1-sentence explanation why)

YES

Since 0.75 > 0.549, we can reject the null hypothesis.

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