Linear Transformation (2 of 2)
You can see why it is called a linear transformation by looking at the plot
on the below.
Let b stand for the coefficient
each number is
multiplied by and A stand for the constant that is added.
Y is a linear transformation of X if
Y = bX + A
Linear transformations are very common.
For example, the Fahrenheit scale
of temperature is a linear transformation of the Centigrade scale:
F = 1.8 C + 32
A linear transformation is used to convert from tons to pounds:
b = 2000 and A = 0
Pounds = 2000 x Tons + 0
Effects on mean and standard deviation