Question

for a data set of brain volumes (cm³) and iq scores of six males, the linear correlation coefficient is r = 0.856. 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 - pairs $n = 6$. The degrees of freedom is $df=n - 2=6 - 2 = 4$.

Step2: Find the critical values

Assume a significance level of $\alpha = 0.05$ (common in correlation tests). Looking up in the critical - values table for the correlation coefficient with $df = 4$ and $\alpha=0.05$ (two - tailed test), the critical values are $r=\pm0.811$.

Answer:

$- 0.811,0.811$