when two regression models applied on the same data set have the same response variable but a different number of explanatory variables, the model that would evidently provide the better fit is the one with a .

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The regression model that would offer the better fit is one with a smaller standard error of the estimation and a given elements coefficient of determination when two regression models used on the same data set have had the same dependent variables but a variable figure of explanatory factors.

The coefficient of determination is most frequently used to determine how well a regression model fits observed data. For instance, data fitting the regression model 60% of the time is indicated by a determination coefficient of 60%. In general, a greater coefficient denotes a better model fit.

The degree of deviation around the mean increases with the coefficient of variation. Typically, a percentage is used to indicate it. Without units, it enables comparison of value distributions whose measurement scales are incomparable.

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