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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Explained Variation
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Unexplained Variation
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Total Variation
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Correlation Variation
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Detailed explanation-1: -The unexplained variation is the sum of the squared of the differences between the y-value of each ordered pair and each corresponding predicted y-value. The sum of the explained and unexplained variations is equal to the total variation.
Detailed explanation-2: -In statistics, the fraction of variance unexplained (FVU) in the context of a regression task is the fraction of variance of the regressand (dependent variable) Y which cannot be explained, i.e., which is not correctly predicted, by the explanatory variables X.
Detailed explanation-3: -The coefficient of determination is the proportion of the explained variation relative to the total variation. If the points are close to a straight line then the unexplained variation will be a small proportion of the total variation in the values of the response variable.