Use the below data to answer the questions. Find the value of R²
R² can be found by calculating the correlation coefficient from the slope and the standard deviations of the samples and then squaring it. We find that sx and sy are 158.990 and 18.387, respectively. Thus, drawing on part (a) we find that
r = b * sx / sy = 0.047 * 158.990 / 18.387 = 0.406
R² = 0.406² = 0.165
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