For a data set of chest sizes? (distance around chest in? inches) and weights? (

Question

For a data set of chest sizes? (distance around chest in? inches) and weights? (pounds) of six anesthetized bears that were? measured, the linear correlation coefficient is r = 0.707. Use the table available below to find the critical values of r. Based on a comparison of the linear correlation coefficient r and the critical? values, what do you conclude about a linear? correlation?

# of Pairs of Data in N Critical Value or r 4 0.950 5 0.878 6 0.811 7 0.754 8 0.707 9 0.666 10 0.632 11 0.602 12 0.576

Explanation / Answer

For n = 6:

Critical correlation value = 0.811

Since observed value is less than the critical value, we do not reject Ho and hence, the correlation is not significant.

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