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A Multiple Regression Model Is Assessed to Be Poor If ε\varepsilon

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A multiple regression model is assessed to be poor if the error sum of squares SSE and the standard error of estimate s ε\varepsilon are both large,the coefficient of determination R2 is close to 0,and the value of the test statistic F is large.


Definitions:

Rank Sums

A statistic used in non-parametric tests that involves summing the ranks of observations in one of two samples when comparing medians.

One-Tail

Refers to a one-tailed test in statistics where the critical area of a distribution is one-sided so that it tests for the possibility of the relationship in a single direction.

Ordinal

Pertaining to data classification where the order of the values is significant but differences between values are not necessarily consistent.

Interval

An interval in statistics refers to the difference between two points on a scale, often used to measure the distance or gap between data points.

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