Real-Life Scenarios
Text Version

(Introduction music)

Image description: Andrew is sitting at a desk working on a math problem. A thought bubble containing the word residuals appears beside him.

Andrew: The residuals for the Winning Time data appear to be fairly small.

Image description: The word residuals in the thought bubble.

Andrew:  And when plotted, the points on the residual plot seem to be randomly dispersed about the horizontal axis.

Image description: A close-up is shown of the graph entitled Residual Plot: Linear Model. The horizontal axis extends from negative 0.5 to 6.  The vertical axis extends from negative 0.6 to 1.  The graph displays the following ordered pairs:  (0, negative 0.47), (1, negative 0.014), (2, 0.788), (3, 0.102), (4, negative 0.274) and (5, negative 0.16).  Andrew points to each point on the graph.

Andrew: But the residual of 0.788 of a minute difference is significant.

Image description: Andrew points to the point at 0.788 on the graph.

Andrew: I’m still not convinced that a linear model best fits this data.