House prices and bathrooms
Use this diagram to explain that the response, Y, has a distribution at each x-value and that the conditional distributions of Y given x can be displayed as histograms.
Drag the centre of the diagram towards the top left to rotate it and show the conditional histograms.
By rotating the diagram, you can also discuss linearity and constant variance in the data.
(Note that the crosses have been jittered a little to separate them in the scatterplot — the x-values in each of the six groups are identical.)
The sale prices of all houses sold in an area were collected. How does the sale price relate to the number of bathrooms in the houses? (The data are not real.)