If the r-value, or correlation coefficient, of a data set is 0.769, what is the coefficient of determination to three decimal places

The coefficient of determination r² is 0.769² = 0.591. This means that 59.1% of the data y can be explained by the linear relationship between x and y while the other 40.9% is still unexplained. The positive value for the correlation coefficient r means that as values for x increases, values for y also increase.