STATISTICAL TECHNIQUES AND TOOLS
CORRELATION COEFFICIENT COEFFICIENT OF DETERMINATION
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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If the coefficient of determination is 0.81, the correlation of coefficient is
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0.6561.
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must be positive.
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must be negative.
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could be either +0.9 or-0.9.
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Explanation:
Detailed explanation-1: -Answer and Explanation: The coefficient of correlation is, r=0.90.
Detailed explanation-2: -The coefficient of determination is the proportion of total variation in Y that is explained by X. The coefficient of determination is the square root of the coefficient of correlation. If the coefficient of correlation is-0.90, the coefficient of determination is-0.81.
Detailed explanation-3: -Meaning of the Coefficient of Determination If the coefficient is 0.80, then 80% of the points should fall within the regression line. Values of 1 or 0 would indicate the regression line represents all or none of the data, respectively.
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