What happens as the scatter of data values about the regression plane increases? A)The standard error of estimate increases. B)R² increases. C)(1 − R²)decreases. D)The error sum of squares decreases.

Question

Quizplus · Accepted Answer

As the scatter of data values about the regression plane increases, the distance between the observed data points and the predicted values also increases. This results in a higher standard error of estimate, indicating that the regression line is a poor fit for the data. Option B is not a valid statistic, and option C is incorrect because as R-squared decreases, the standard error of estimate increases. Option D is also incorrect, as the error sum of squares is indicative of the sum of squared residuals, which is a measure of the deviation of the observed values from the predicted values, and not affected by the scatter of the data.

What Happens as the Scatter of Data Values About the Regression