Curve Fitting
Summary
- slide show
- symbols
- no relationship
- power relationships
- polynomial relationships
- exponential relationships
- other
| power | general form | description | appearance |
|---|---|---|---|
| 0 | y = k | independent | horizontal, straight line |
| 1 | y = kx | direct | non-horizontal straight line through the origin |
| 2 | y = kx2 | square | vertical parabola with vertex at the origin |
| 3 | y = kx3 | cube | |
| −1 | y = k/x | inverse | rectangular hyperbola |
| −2 | y = k/x2 | inverse square | |
| −3 | y = k/x3 | inverse cube | |
| ½ | y = k√x | square root | horizontal parabola with vertex at the origin |
| ⅓ | y = k∛x | cube root |
| order | general form | name |
|---|---|---|
| 0 | y = a | constant |
| 1 | y = a + bx | linear |
| 2 | y = a + bx + cx2 | quadratic |
| 3 | y = a + bx + cx2 + dx3 | cubic |
| 4 | y = a + bx + cx2 + dx3 + ex4 | quartic |
| 5 | y = a + bx + cx2 + dx3 + ex4 + fx5 | quintic |
| ⋮ | ⋮ | ⋮ |
| n | y = a0x0 + a1x1 + a2x2 + a3x3 + … + anxn | nth order polynomial |