Question

evaluating a prediction
kardal did a study to determine the correlation between mens heights, x, and their shoe sizes, y, and found the following data: (60, 8.5), (65, 10), (66, 12), (68, 11.5), (63, 9.5), (72, 12.5), (62, 8.5), (69, 12.5), (70, 11.5)
kardal used the line of best fit to predict that a man 80 inches tall would wear about a size 16 shoe. what can be concluded about this prediction? check all that apply.
the prediction is reasonable.
the prediction is an interpolation.
no data is given in the scatter - plot for a height of 80 inches, but a shoe size can still be predicted.
a prediction cannot be made for a man who is 80 inches tall.
a man who is 80 inches tall will likely wear a size 12.5 shoe.

Explanation:

The given height data ranges from 60 to 72 inches. Predicting for 80 inches (outside this range) is extrapolation, not interpolation. No data exists at 80 inches, but predictions using the line of best fit are still possible (extrapolation). The prediction of size 16 is not "likely" (fifth option incorrect), and a prediction can be made (fourth option incorrect). "Reasonable" is uncertain for extrapolation, but the third option is factually correct.

Answer:

No data is given in the scatterplot for a height of 80 inches, but a shoe size can still be predicted