Question

for a data set of brain volumes (cm³) and iq scores of nine males, the linear correlation coefficient is r = 0.647. 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 |

Explanation:

Step1: Identify n

The number of males (data pairs) \( n = 9 \).

Step2: Find critical value

From the table, when \( n = 9 \), the critical value of \( r \) is \( 0.666 \). Since correlation can be positive or negative, the critical values are \( -0.666, 0.666 \).

Answer:

-0.666, 0.666