The direction of the association between a predictor variable and the responder variable is indicated by the coefficient. With a negative sign, the response variable(x) declines as the predictor variable(y) grows.
The coefficient of determination is a metric for determining how much variability in one component can be attributed to its relationship with another. The "goodness of fit," or correlation, is expressed as a number between 0.0 and 1.0.
The R2 score, also known as the coefficient of determination, is used to evaluate the efficacy of a linear regression model. The amount of variance in the output dependent characteristic that can be predicted based on the input independent variable (s).
The "R" number in the summary table in the Regression output is the coefficient of correlation. The coefficient of determination is also known as R square. To get the R square value, multiply R by R. In other words, the square of the coefficient of determination is the coefficient of correlation.
The coefficient of determination is most commonly used to determine how well the regression model matches the observed data. A coefficient of determination of 60%, for example, indicates that 60% of the data fits the regression model. In general, a greater coefficient denotes a better model fit.
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