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What values can a correlation take? What does the value of a correlation tell us about the strength of relationship?

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Final answer:

The correlation coefficient measures the strength of the linear association between x and y.

Step-by-step explanation:

The correlation coefficient, r, measures the strength of the linear association between x and y. The variable r has to be between -1 and +1. When r is positive, x and y tend to increase and decrease together. When r is negative, x increases and y decreases, or the opposite occurs: x decreases and y increases. The coefficient of determination, , is equal to the square of the correlation coefficient. When expressed as a percentage, represents the percentage of variation in the dependent variable, y, that can be explained by variation in the independent variable, x, using the regression line.

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User Saurav Nagpal
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