Applied Regression Modeling

True or false? Simple linear regression relies on assumptions about residuals, which we assess using the random errors in the model.

Select the correct four assumptions about the probability distribution of the random errors at each predictor value in a simple linear regression model.

Which simple linear regression model assumption is supported by a residual scatterplot with residuals that remain equally variable within a horizontal band as our eye moves across the plot from left to right?

Which simple linear regression model assumption is supported by a residual scatterplot with residuals that average close to zero as our eye moves across the plot from left to right?

Which simple linear regression model assumption is supported by a residual scatterplot with residuals that show no clear non-random patterns as our eye moves across the plot from left to right?

Which simple linear regression model assumption is supported by a residual QQ-plot (normal probability plot) with points that lie reasonably close to the diagonal line?

Which simple linear regression model assumption is contradicted by a residual scatterplot with residuals that are mostly below 0 on the left and right of the plot and mostly above 0 in the middle of the plot?

Which simple linear regression model assumption is contradicted by a residual scatterplot with residuals that form an approximate megaphone or funnel pattern?

Which simple linear regression model assumption is contradicted by a residual QQ-plot (normal probability plot) with some points that lie far from the diagonal line?

Which simple linear regression model assumption is contradicted by a residual scatterplot with residuals that show a clear non-random pattern as our eye moves across the plot from left to right?