Test Statistic For Correlation Coefficient. The pearson correlation coefficient is used to measure the strength of a linear association between two variables where the value r 1 means a perfect positive correlation and the value r 1 means a perfect negataive correlation. The hypothesis test lets us decide whether the value of the population correlation coefficient latex rho latex is close to 0 or significantly different from 0.
As illustrated in the following video we multiply by 2 and determine that the p value is less than 0 002. Such approach is based upon on the idea that if the sample correlation. The p value is the combined area in both tails.
The correlation coefficient r tells us about the strength and direction of the linear relationship between x 1 and x 2.
We decide this based on the sample correlation coefficient latex text r latex and the sample size latex text n latex. The output tells us that the probability of getting a test statistic smaller than 35 39 is greater than 0 999. The p value is the combined area in both tails. As illustrated in the following video we multiply by 2 and determine that the p value is less than 0 002.
