12.3 Testing the Significance of the Correlation Coefficient (Optional)

Whether a correlation is strong enough, for the number of points behind it, to claim a real linear relationship, judged against critical values of r.

Statistics, 12.3 Testing the Significance of the Correlation Coefficient (Optional)

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5 exercises

12.3 Exercise 1

For a given line of best fit, you computed that r = 0.6501 using n = 12 data points, and the critical value found on the table is 0.576. Can the line be used for prediction? Why or why not?

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12.3 Exercise 2

For a given line of best fit, you compute that r = 0.5204 using n = 9 data points, and the critical values are ±0.666. Can the line be used for prediction? Why or why not?

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12.3 Exercise 3

For a given line of best fit, you compute that r = –0.7204 using n = 8 data points, and the critical value is 0.707. Can the line be used for prediction? Why or why not?

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12.3 Exercise 4

For a given line of best fit, you compute that r = 0 using n = 100 data points. Can the line be used for prediction? Why or why not?

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12.3 Exercise 6

When testing the significance of the correlation coefficient, what is the alternative hypothesis?

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