For a data set of chest sizes (distance around chest in inches) and weights (pounds) of twelve anesthetized bears that were measured, the linear correlation coefficient is $r = 0.414$.
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?
Click the icon to view the table of critical values of $r$.
The critical values are $\boxed{}$
(Type integers or decimals. Do not round. Use a comma to separate answers as needed.)
Table of Critical Values of $r$
Number of Pairs of Data n Critical Value of $r$
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