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Concept visual
Start from A
A linear function is a straight line A linear graph represents a linear function
A Function is special relationship where each input has an output.
where x is the input:
Formula
Results from f(x) = x x
y y = xFormula
y = x = 1Formula
y = x = 2Formula
y = x = 3Formula
y = x = 4Formula
y = x = 5
Results from f(x) = 2x x
y y = 2xFormula
y = 2x = 2Formula
y = 2x = 4Formula
y = 2x = 6Formula
y = 2x = 8Formula
10 y = 2x = 10A Linear Equation is an equation for a straight line:
Formula
y = x y = x*2 y = x*2 + 7 y = ax + b
5x = 3y y/2 = 6A Linear Equation can NOT contain exponents or square roots:
Formula
y = x**2 y = Math.sqrt(x)
y = Math.sin(x)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 algebra is used to solve Linear Equations. Linear Least Squares (LLS) is a set of formulations for solving statistical problems involved in Linear Regression.