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Polynomial Models

Polynomial Models. Section 2.4. Polynomial Models. Polynomial Model A polynomial of order n has the input variable raised to the n th power. Order n. Order 1. Order 2. Order 3. Polynomial Models. Number of Roofing Jobs. Change in RoC. Polynomial Models.

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Polynomial Models

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  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

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