Pearson's+r+and+coefficient+of+determination+r^2

In statistics, the **Pearson product-moment correlation coefficient** (sometimes referred to as the **PPMCC** or **PCCs**, and typically denoted by //r//) is a measure of the correlation (linear dependence) between two variables //X// and //Y//, giving a value between +1 and −1 inclusive. It is widely used in the sciences as a measure of the strength of linear dependence between two variables.The correlation coefficient is sometimes called "Pearson's //r//."

R-squared shows how much of the variation in Y can be explained by X and the statistic "r" (Pearson's r) is an index of the strenght of the linear relationship between two variables; correlation.

Coefficients:  EstimateStd. Error t value Pr(>|t|) (Intercept) 4.7446 16.8714 0.281 0.780 Age 0.2962 0.6414 0.462 0.647 Residual standard error: 16.45 on 33 degreesoffreedom Multiple R-squared: 0.00642, AdjustedR-squared: -0.02369 F-statistic: 0.2132 on 1 and 33 DF, p-value: 0.6473