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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.

Answer: 0.591

Step-by-step explanation:

The r value or correlation coefficient, of a data set is 0.769 and the coefficient of determination to three decimal places is 0.591