A graph has average temperature (degrees Fahrenheit) on the x-axis, from 0 to 60, and total coat sales on the y-axis, from 0 to 100. A trend line goes through points (55, 50) and (65, 40).

Quincy claims that if 80 coats are sold, the outside temperature is likely to be about 42°F. Did Quincy make a reliable prediction? If not, what was his mistake?
Yes. Quincy’s prediction is reliable.
No. Quincy should have used the trend line to find the corresponding y value when x=80.
No. Quincy should have used the trend line to find the corresponding x value when y=80.
No. The prediction is extrapolated, so it is too far off the graph to be reliable.

1 answer

No. The prediction is extrapolated, so it is too far off the graph to be reliable.

Quincy's prediction of 80 coat sales corresponds to an x value (average temperature) that is not within the range of the x-axis provided (0 to 60 degrees Fahrenheit). Since the data and trend line represent a specific range, making predictions outside that range (like predicting values for 80 coats) is generally unreliable and can lead to inaccuracies.