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Asked by Ambitious Blood Entertainment on Jun 04, 2024

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If the value of the sum of squares for error SSE equals zero,then the coefficient of determination must equal zero.

Sum of Squares

A statistical measure that quantifies the variance or dispersion of a set of numbers by summing the squared differences between each number and the mean.

Error SSE

The sum of squared errors (SSE) is a measure used in statistics to quantify the discrepancy between the data and an estimation model.

Coefficient of Determination

A statistical measure that expresses the proportion of variance in the dependent variable that can be predicted from the independent variable(s).

  • Understand the principle of the coefficient of determination and its impact on model fit.
  • Distinguish among the different sums of squares in regression analysis, specifically SSR and SSE.
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Inshirah ParahooJun 11, 2024
Final Answer :
False
Explanation :
If the value of SSE equals zero, it means that the regression line perfectly fits all the data points and explains all the variability in the data. In this case, the coefficient of determination, also known as R-Squared, would equal 1, not 0. R-Squared measures the proportion of variability in the dependent variable that is explained by the independent variable(s) in the regression equation. So, if SSE is zero, R-Squared would be 1, not 0.

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