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  2. Ordinary least squares - Wikipedia

    en.wikipedia.org/wiki/Ordinary_least_squares

    In statistics, ordinary least squares (OLS) is a type of linear least squares method for choosing the unknown parameters in a linear regression model (with fixed level-one [clarification needed] effects of a linear function of a set of explanatory variables) by the principle of least squares: minimizing the sum of the squares of the differences between the observed dependent variable (values ...

  3. File:OLS example weight vs height fitted linear.svg - Wikipedia

    en.wikipedia.org/wiki/File:OLS_example_weight_vs...

    OLS example weight vs height fitted linear: Image title: Graph of points and linear least squares fit in the simple linear regression numerical example by CMG Lee. In the SVG file, hover over a point to display its coordinates. Width: 100%: Height: 100%

  4. Least squares - Wikipedia

    en.wikipedia.org/wiki/Least_squares

    The result of fitting a set of data points with a quadratic function Conic fitting a set of points using least-squares approximation. In regression analysis, least squares is a parameter estimation method based on minimizing the sum of the squares of the residuals (a residual being the difference between an observed value and the fitted value provided by a model) made in the results of each ...

  5. Linear least squares - Wikipedia

    en.wikipedia.org/wiki/Linear_least_squares

    Optimal instruments regression is an extension of classical IV regression to the situation where E[ε i | z i] = 0. Total least squares (TLS) [6] is an approach to least squares estimation of the linear regression model that treats the covariates and response variable in a more geometrically symmetric manner than OLS. It is one approach to ...

  6. File:OLS example weight vs height fitted line.svg - Wikipedia

    en.wikipedia.org/wiki/File:OLS_example_weight_vs...

    English: Example of OLS: regression of weight against height of american women; this picture shows dataset and fitted regression line. Date: 5 July 2009: Source: Own ...

  7. Coefficient of determination - Wikipedia

    en.wikipedia.org/wiki/Coefficient_of_determination

    Ordinary least squares regression of Okun's law.Since the regression line does not miss any of the points by very much, the R 2 of the regression is relatively high.. In statistics, the coefficient of determination, denoted R 2 or r 2 and pronounced "R squared", is the proportion of the variation in the dependent variable that is predictable from the independent variable(s).

  8. First-difference estimator - Wikipedia

    en.wikipedia.org/wiki/First-Difference_Estimator

    To be unbiased, the fixed effects estimator (FE) requires strict exogeneity, defined as [|,,..,] =.The first difference estimator (FD) is also unbiased under this assumption.

  9. Regularized least squares - Wikipedia

    en.wikipedia.org/wiki/Regularized_least_squares

    The first term is the objective function from ordinary least squares (OLS) regression, corresponding to the residual sum of squares. The second term is a regularization term, not present in OLS, which penalizes large values. As a smooth finite dimensional problem is considered and it is possible to apply standard calculus tools.