Final answer:
The coefficient of determination is the square of the correlation coefficient. Assuming a direct relationship between the variables, the correlation coefficient is the square root of the coefficient of determination.
Step-by-step explanation:
The coefficient of determination, also known as r², is calculated by squaring the correlation coefficient. To find the coefficient of determination, square the correlation coefficient value. For example, if the correlation coefficient is 0.56, then the coefficient of determination is 0.56² = 0.3136.
Assuming a direct relationship between the variables, the correlation coefficient is the square root of the coefficient of determination. In this case, if the coefficient of determination is 0.31, then the correlation coefficient is √0.31 ≈ 0.56.