5. Based on 10 pairs of data, a sample correlation coefficient is r = -0.8742. a

Question

5. Based on 10 pairs of data, a sample correlation coefficient is r = -0.8742.

a) Assuming a 0.05 level of significance, what is the critical value of r (from the chart)?

1. 0.798

2. 0.666

3. 0.765

4. 0.632

b) Is the sample correlation coefficient significant? Answer 'Yes' or 'No'.

6. The closer that r is to ______, the stronger the correlation.

7. A professor wants to try to predict the score on a final based on the score on the midterm . Based on previous data, the equation of the regression line is y = 23.78 + 0.71x, where x is the midterm grade and y is the final grade.

Use this equation to predict the final score when the midterm grade is 87. Round your answer to the nearest whole number.

8. Which correlation coefficient indicates a stronger correlation: r = -0.5894 or r = 0.8756?

9. True or False: There is a strong positive correlation between soup sales and the number of vehicular accidents on I-5. This means that buying more soup causes more car accidents.

Explanation / Answer

6) a) The closer that r is to -1 or 1, the stronger the correlation

7) y = 23.78 + 0.71x

Given x = 87

So, predicted y = 23.78+0.71x87 = 85.55

8) r = 0.8756 has stronger correlation

9) False - correlation doesnt imply causation. So, even if correlation is there, the cause can be something else

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