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: -As its name implies, the explained variation can be explained by the relationship between x and y. The unexplained variation cannot be explained by the relationship between x and y and is due to chance or other variables.
Detailed explanation-2: -The unexplained variation is the error component of the regression equation. That error is the sum of the differences between each observed value and its value as predicted by the regression equation. Key Points: We are trying to fit a line through a set of plotted points that minimizes the residuals (errors).
Detailed explanation-3: -Pearson r = 1. The proportion of Y variance explained by the linear relationship between X and Y = r2 = 1, or 100%.
Detailed explanation-4: -Unexplained variance is a term used in analysis of variance (ANOVA). ANOVA is a statistical method of comparing the means of different groups. It compares the variance within the groups to the variance between the groups. The former is also called unexplained variance, because it is not explained by the groups.