If a Nonlinear Regression Equation Provides a Better Fit to the Actual

question 6

True/False

If a nonlinear regression equation provides a better fit to the actual data, but a straight- line regression is estimated, the estimated straight- line regression will have a greater R² than the R² from the nonlinear regression.

---

Definitions:

SSE

Sum of Squares due to Error, a measure used in statistical analysis to quantify the dispersion of data points around a fitted line.

Multiple Coefficient

Often referred to as the coefficient of multiple determination in statistics, it measures the proportion of variance in a dependent variable that is predictable from independent variables.

SSR

Sum of Squared Regression, a measure used in statistical analysis to determine the variance explained by the regression line.

SSE

Stands for Sum of Squares Error, a measure used in statistics to quantify the variation or deviation of a set of values from their mean.