EXAMPLE 11 Identifying when extrapolation occurs

Using the regression equation from Example 10, estimate the high temperature for the following low temperatures. If the estimate represents extrapolation, indicate so.

  1. 50°F
  2. 60°F

Solution

From Table 3, the smallest value of is 30°F and the largest is 50°F, so estimates for any value of between 30°F and 50°F, inclusive, would not represent extrapolation.

  1. . Because lies between 30°F and 50°F, inclusive, this estimate does not represent extrapolation.
  2. . Because does not lie between 30°F and 50°F, this estimate represents extrapolation.

NOW YOU CAN DO

Exercises 25c–36c.