t=r√n−2√1−r2 is the formula for the test statistic. In addition to the p-value, the computer or calculator output also displays the value of the test statistic, t.

How to test statistical significance of correlation coefficient?
Compare r to the relevant table critical value. The correlation coefficient is significant if r is outside of the positive and negative critical values. Using the line for prediction is possible if r is substantial.

The strength of the linear link between two variables is assessed using correlation coefficients. A correlation coefficient with a value over zero denotes a positive link, whereas one with a value below zero denotes a negative relationship.

To examine the correlation between two variables and determine the correlation’s significance level, use the cor. test(x,y) function. A statistical method used to check if the mean difference between two sets of observations is zero is the paired sample t-test, also known as the dependent sample t-test.