Question

A sample contains 10 pairs of values. Find the critical value for the linear correlation coefficient from Table A-6 corresponding to a 0.01 significance level.

0.632


0.684


0.765


0.798

Answer 1

0.765

Explanation:

Answer 2

The critical value for the linear correlation coefficient is 0.765.

Explanation:

The number of sample values is, n = 10.

The significance level of the test is, α = 0.01.

The hypothesis can be defined as follows:

H₀: The correlation coefficient is 0, i.e. ρ = 0.

Hₐ: The correlation coefficient is not 0, i.e. ρ ≠ 0.

The critical value of the test is the Pearson's Correlation coefficient critical value.

The critical value is computed using the significance level and the sample size.

So, for n = 10 and α = 0.01, the critical value is,

`CV=0.765`

*Use the Pearson's Correlation coefficient critical value table.

Thus, the critical value for the linear correlation coefficient is 0.765.