Question

Suppose the residuals for a data set containing 5 points were plotted on a residual plot. At most, how many of the 5 residuals could be above the x-axis?

Answer 1

4 at most be above the x-axis

Answer 2

Answer with explanation:

A residual plot is the graphical representation of two variables that shows one of the variables that is the residuals on the vertical axis that is y axis, and the independent variable that is another variable on the horizontal axis.Residual plot is another name of Coordinate plane.

If Points are plotted on residual plane two kinds of model are Possible ,

1.→ A linear regression model for the data set that is a straight line which is called a Random Pattern.

2→Otherwise A non-linear model that is U shaped or Inverted U shaped model.

→ If the model is Random or Non Random that is Linear or Non Linear, then At most that is all five points can lie above X axis.