Multiple Independent Variables Regression Analysis Task

A Multiple Independent Variables Regression Analysis Task is a regression analysis task that accepts multivariate data.

• Context:
  • It can range from being a Linear Multivariate Regression Analysis to being a Non-Linear Multivariate Regression Analysis.
• See: Probability Distribution, Observational Study, Statistical Classification, Statistical Model, Dependent Variable, Independent Variable, Conditional Expectation, Average Value, Quantile, Location Parameter, Necessity and Sufficiency.

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References

2017

• (Wikipedia, 2017) ⇒ https://en.wikipedia.org/wiki/Regression_analysis#Linear_regression Retrieved:2017-8-12.
  • … In multiple linear regression, there are several independent variables or functions of independent variables.

    Adding a term in [math]\displaystyle{ x_i^2 }[/math] to the preceding regression gives:
    :parabola: [math]\displaystyle{ y_i=\beta_0 +\beta_1 x_i +\beta_2 x_i^2+\varepsilon_i,\ i=1,\dots,n.\! }[/math] This is still linear regression; although the expression on the right hand side is quadratic in the independent variable [math]\displaystyle{ x_i }[/math], it is linear in the parameters [math]\displaystyle{ \beta_0 }[/math], [math]\displaystyle{ \beta_1 }[/math] and [math]\displaystyle{ \beta_2. }[/math]

2009

• (Hair et al., 2009) ⇒ Joseph F. Hair, William C. Black, Rolph E. Anderson, and Barry J. Babin. (2009). “Multivariate Data Analysis, 7th edition.” Prentice Hall. ISBN:0138132631

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