To determine the number of positive, negative, and zero residuals, compare the residuals to 2 times the standard deviation.
The question asks how to determine the number of residuals that are positive, negative, and zero. Residuals are the differences between observed y-values and predicted y-values in a regression analysis. To determine the sign of the residuals, you compare them to 2 times the standard deviation (2s). If a residual is greater than 2s, it is positive. If a residual is less than -2s, it is negative. If a residual is between -2s and 2s, it is zero. By comparing the residuals to 2s, you can determine the number of positive, negative, and zero residuals.