码农教程 - 一技在手,衣食无忧! tools

Linear Functions

❮ Previous Next ❯
  • Linear means straight
  • A linear function is a straight line
  • A linear graph represents a linear function

Linear Functions

A Function is special relationship where each input has an output.

A function is often written as f(x) where x is the input:

Results from f(x) = x

x y y = x
1 1 y = x = 1
2 2 y = x = 2
3 3 y = x = 3
4 4 y = x = 4
5 5 y = x = 5

Results from f(x) = 2x

x y y = 2x
1 2 y = 2x = 2
2 4 y = 2x = 4
3 6 y = 2x = 6
4 8 y = 2x = 8
5 10 y = 2x = 10

Linear Equations

A Linear Equation is an equation for a straight line:

  • y = x
  • y = x*2
  • y = x*2 + 7
  • y = ax + b
  • 5x = 3y
  • y/2 = 6

Non-Linear Equations

A Linear Equation can NOT contain exponents or square roots:

  • y = x**2
  • y = Math.sqrt(x)
  • y = Math.sin(x)

Linear Regression

A Linear regression tries to model the relationship between two variables by fitting a linear graph to data.

One variable (x) is considered to be data, and the other (y) is considered to be dependent.

For example, a Linear Regression can be a model to relate the price of houses to their size.

Linear Least Squares

Linear algebra is used to solve Linear Equations.

Linear Least Squares (LLS) is a set of formulations for solving statistical problems involved in Linear Regression.


❮ Previous Next ❯