Suppose you will perform a test to determine whether there is sufficient evidence to support a claim of a linear correlation between two variables. Find the critical value(s) of r given that n=15 and $r = \pm 0.514$
A) $r = \pm 0.532$
B) $r = \pm 0.641$
C) $\alpha = 0.05$
D) r=0.514

Question

Suppose you will perform a test to determine whether there is sufficient evidence to support a claim of a linear correlation between two variables. Find the critical value(s) of  r  given that  n=15  and  $r = \pm 0.514$
A) $r = \pm 0.532$
B) $r = \pm 0.641$
C) $\alpha = 0.05$
D)  r=0.514

Quizplus · Accepted Answer

The critical value of r for a given sample size (n) and significance level (typically $\alpha = 0.05$) can be found in a table of critical values for Pearson's correlation coefficient. For n=15, the critical value of r at $\alpha = 0.05$ is approximately $\pm 0.532$. This means that for a correlation to be considered statistically significant at the 0.05 level, the computed r must be greater than 0.532 or less than -0.532.

Suppose You Will Perform a Test to Determine Whether There r=±0.514r = \pm 0.514r=±0.514

Suppose You Will Perform a Test to Determine Whether There $r = \pm 0.514$