Question

For a data set of chest sizes (distance around chest in inches) and weights (pounds) of eleven anesthetized bears that were measured, the linear correlation coefficient is r=0.446. 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.) Since the correlation coefficient r is , there evidence to support the claim of a linear correlation. sufficient A Table of Critical Values of r Х Number of Pairs of Datan 4 5 6 7 8 9 10 11 Critical Value ofr 0.950 0.878 0.811 0.754 0.707 0.666 0.632 0.602 0.576 12 Enter your ? Print Done

Answer 1

We are given the sample size here as n = 11.

For N = 11, from the critical value table for correlation coefficient, we have the critical value as 0.602. But as this is a two tailed test, therefore the critical values here are given as: -0.602, 0.602

Now here as the correlation coefficient is r = 0.446 < 0.602, therefore it does not lie in the rejection region and therefore we have insufficient evidence to support the claim for correlation coefficient here.