An R Introduction to Statistics

Elementary Statistics with R

Tutorials on elementary statistics with R.

Significance Test for MLR

A tutorial on the significance test for a multiple linear regression model.

Adjusted Coefficient of Determination

A tutorial on the adjusted coefficient of determination for a multiple linear regression model.

Multiple Coefficient of Determination

A tutorial on the coefficient of determination for a multiple linear regression model.

Multiple Linear Regression

  A multiple linear regression (MLR) model that describes a dependent variable y by independent variables x1, x2, ..., xp (p > 1) is expressed by the equation as follows, where the numbers α and βk (k = 1, 2, ..., p) are the parameters, and ϵ is the error term.

y = α+ ∑  β x  + ϵ
        k  k k

Standardized Residual

A tutorial on the standardized residual of a simple linear regression model.

Residual Plot

A tutorial on the residual of a simple linear regression model.