Answer to Question #121721 in Statistics and Probability for Jse

Question

Which of the following is false?

A.The variability of residuals should increase as x increases.
B. Residuals of linear models should be distributed nearly normally around 0.
C. The residuals plot (residuals vs. x) should show a random scatter around 0.
D. A data point that has negative residual is located below the regression line

Answer 1

A.The variability of residuals should increase as x increases.

To assess the suitability of the empirical regression model, residuals are plotted along the vertical axis, and Xi values are plotted along the horizontal axis. If the empirical model is suitable, the graph should not have a pronounced pattern.