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The coefficient of determination of a set of data points is 0.79 and the slope of the regression line is -4.9. Determine the linear correlation coefficient of the data.

User Lawonga
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The coefficient of determination (R-squared) is related to the linear correlation coefficient (r) as follows:

R-squared = r^2

Therefore, we can find the linear correlation coefficient (r) by taking the square root of the coefficient of determination (R-squared):

r = sqrt(R-squared) = sqrt(0.79) = 0.89

Now, we need to determine the sign of the linear correlation coefficient (r). Since the slope of the regression line is negative, we know that the data has a negative correlation. Therefore, the linear correlation coefficient (r) is negative:

r = -0.89

Therefore, the linear correlation coefficient of the data is -0.89.
User ILiA
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