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