Given the linear correlation coefficient r and the sample size n, determine the critical values of r

Posted on 2014-11-20 06:37:00 in Math by MEL

Given the linear correlation coefficient r and the sample size n, determine the critical values of r and use your finding to state whether or not the given r represents a significant linear correlation. Use a significance level of 0.05.

1.) r = 0.543, n = 25
A) critical values: r = +- 0.396, no significant linear correlation
B) critical values: r = +- 0.487, significant linear correlation
C) critical values: r = +- 0.396, significant linear correlation
D) critical values: r = +- 0.487, no significant linear correlation

2) r = 0.353, n = 15
A) critical values: r = 0.514, no significant linear correlation
B) critical values: r = +- 0.514, no significant linear correlation
C) critical values: r = +- 0.532, no significant linear correlation
D) critical values: r = +- 0.514 significant linear correlation

3) r = 0.806, n = 9
A)critical values: r = 0.666, no significant linear correlation
B) critical values: r = +- 0.666, no significant linear correlation
C) critical values: r = -0.666, no significant linear correlation
D) critical values: r = +- 0.666, significant linear correlation

4) r = -0.25, n = 90
A) critical values: r = +- 0.217, no significant linear correlation
B) critical values: r = 0.217, significant linear correlation
C) critical values: r = +- 0.207,
significant linear correlation
D) critical values: r = +- 0.207, no significant linear correlation

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