Making Predictions: Extrapolation

Questions

1. MultiChoice

   What does 'extrapolation' mean in scatter plot analysis?

2. MultiChoice

   Data was collected for student ages 10 to 14. Using the model to predict height for age 25 is:

3. MultiChoice

   Why can extrapolation sometimes lead to unreliable predictions?

4. MultiChoice

   A model for a growing puppy's weight is y = 3x + 2 (x in months, data collected from 1 to 6 months). Why is predicting weight at 120 months unreliable?

5. MultiChoice

   Using y = -2x + 100 (where x is speed and y is fuel efficiency), predicting efficiency at x = 200 mph (when data was 20 to 60 mph) is an example of:

6. MultiChoice

   Data shows phone battery drain over 5 hours modeled by y = -15x + 100. Predicting battery percentage at x = 10 hours gives y = -50%. Why is this prediction unrealistic?

7. MultiChoice

   Given a line of best fit y = 5x + 20 based on x from 0 to 10. Predict y for x = 30.

8. MultiChoice

   Which of the following represents an extrapolation prediction?

9. MultiChoice

   A linear model y = 0.4x + 60 models runner performance for temperatures 50°F to 80°F. Predicting for 110°F is extrapolation because:

10. MultiChoice

    Given y = -3x + 80 for data x in [1, 10]. Predicting y when x = 20 gives:

11. MultiChoice

    Which prediction method requires more caution when making long-term decisions?

12. MultiChoice

    If a plant model y = 1.2x + 5 is based on data for weeks 1 to 4, extrapolating to week 50 yields y = 65 cm. Why might this be inaccurate?