Polynomial Models

1. Polynomial Models Section 2.4

2. Polynomial Models • Polynomial Model • A polynomial of order n has the input variable raised to the nth power. Order n Order 1 Order 2 Order 3

3. Polynomial Models Number of Roofing Jobs Change in RoC

4. Polynomial Models Change in the rate of change (second difference) is constant Quadratic model

5. Polynomial Models • Quadratic Model • Polynomial of order 2 • “Second order polynomial”

6. Polynomial Models • Two Types • Convex • Concave

7. Polynomial Models Convex

8. Polynomial Models Concave

9. Polynomial Models • Estimating a quadratic model • Enter data STAT 1: Edit

10. Polynomial Models Number of Roofing Jobs

11. Polynomial Models • Estimating a quadratic model • Find estimates of a, b, and c STAT CALC 5: QuadReg

12. Polynomial Models

13. Polynomial Models Gas Prices

14. Polynomial Models Third difference is constant Cubic model

15. Polynomial Models • Cubic Model • Polynomial of order 3 • “Third order polynomial”

16. Polynomial Models Cubic Model

17. Polynomial Models • Estimating a cubic model • Enter data STAT 1: Edit

18. Polynomial Models Gas Prices

19. Polynomial Models • Estimating a cubic model • Find estimates of a, b, c, and d STAT CALC 6: CubicReg

20. Polynomial Models • In-Class • 1, 2, 3, 4, 5, 6, 7, 14, 28