The sample correlation coefficient, r, estimates the population correlation coefficient, ρ. It indicates how closely a scattergram of x,y points cluster about a 45° straight line. … In the case of a single predictor x in a straight-line relationship with y, R2 is just the square of r.
What is a sample correlation?
The sample correlation coefficient, r, estimates the population correlation coefficient, ρ. It indicates how closely a scattergram of x,y points cluster about a 45° straight line. … In the case of a single predictor x in a straight-line relationship with y, R2 is just the square of r.
In short, the primary difference between the independent-samples and paired-samples t- tests is the calculation of the standard error of the difference, SEd. The df for the correlated t-test is calculated as: df = n – 1 where n represents the number of pairs across the two sets of scores.
