If an Estimated Regression Explains None of the Variation, R²

question 58

Multiple Choice

If an estimated regression explains none of the variation, R² will be

• A)0.
• B)between 0 and 1.
• C)1.
• D)unable to determine with the information given.

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Definitions:

Quartile

A statistical term describing each of four equal groups that a data set can be divided into based on distribution.

Median

The value separating the higher half from the lower half of a data sample or probability distribution.

Positively Skewed Distribution

A distribution where the tail is longer on the right side of the peak, indicating that most data points are on the left.

Interquartile Range

A measure of statistical dispersion, represented by the difference between the 25th and 75th percentiles of a dataset.