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If All the Values of an Independent Variable X Are

question 14

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If all the values of an independent variable x are equal, then regressing a dependent variable y on x will result in a coefficient of determination of 100%.


Definitions:

Original Data

The initial dataset collected or observed before any processing, analysis, or transformation is applied.

Skewed Histogram

A graphical representation of data that is not symmetrical and leans towards one side, indicating a lack of normal distribution.

Tail

The extreme end or the farthest part from the mean in a distribution, often referred to in discussions of outliers and probabilities.

Modal Class

The category or class interval in a dataset that appears most frequently.

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