In a scatterplot, what can be specified to show confidence intervals for predictions?

To display confidence intervals for predictions in a scatterplot, bands around the regression line are utilized. This method visually represents the range within which the predicted values are expected to fall with a certain level of confidence, commonly set at 95%.

The bands illustrate the uncertainty associated with the predictions and help in understanding how much variability there is in the predicted values based on the independent variable(s). Essentially, the wider the bands, the greater the uncertainty of the predictions; conversely, narrower bands indicate more precise predictions.

While the regression line provides the best estimate of the relationship between the variables, it does not convey the associated confidence intervals. The concept of a prediction confidence interval, while close, isn't the method used for visualization; what is actually illustrated on the plot is the visual representation in the form of bands surrounding the regression line. Data points alone do not provide any indication of the predictive uncertainty, making their inclusion insufficient for this purpose.