Question

for a data set of chest sizes (distance around chest in inches) and weights (pounds) of seven anesthetized bears that were measured, the linear correlation coefficient is r = 0.208. 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 . (type integers or decimals. do not round. use a comma to separate answers as needed.)

Explanation:

Step1: Determine the degrees of freedom

The number of data - points $n = 7$. The degrees of freedom $df=n - 2=7 - 2 = 5$.

Step2: Find critical values

Typically, for a two - tailed test at a common significance level of $\alpha=0.05$, looking up in the critical - values table for the correlation coefficient $r$ with $df = 5$, the critical values are $r=\pm0.754$.

Step3: Make a conclusion

The given linear correlation coefficient $r = 0.208$. Since $- 0.754<0.208<0.754$, we conclude that there is not sufficient evidence to support a claim of a linear correlation between chest sizes and weights of the bears.

Answer:

$-0.754,0.754$; There is not sufficient evidence to support a claim of a linear correlation between chest sizes and weights of the bears.