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  2. Goodness of fit - Wikipedia

    en.wikipedia.org/wiki/Goodness_of_fit

    Furthermore, the total observed count should be equal to the total expected count: = = where is the total number of observations. G -tests have been recommended at least since the 1981 edition of the popular statistics textbook by Robert R. Sokal and F. James Rohlf .

  3. Simple linear regression - Wikipedia

    en.wikipedia.org/wiki/Simple_linear_regression

    This shows that r xy is the slope of the regression line of the standardized data points (and that this line passes through the origin). Since − 1 ≤ r x y ≤ 1 {\displaystyle -1\leq r_{xy}\leq 1} then we get that if x is some measurement and y is a followup measurement from the same item, then we expect that y (on average) will be closer ...

  4. Regression analysis - Wikipedia

    en.wikipedia.org/wiki/Regression_analysis

    Percentage regression, for situations where reducing percentage errors is deemed more appropriate. [25] Least absolute deviations, which is more robust in the presence of outliers, leading to quantile regression; Nonparametric regression, requires a large number of observations and is computationally intensive

  5. Linear regression - Wikipedia

    en.wikipedia.org/wiki/Linear_regression

    Linear regression can be used to estimate the values of β 1 and β 2 from the measured data. This model is non-linear in the time variable, but it is linear in the parameters β 1 and β 2; if we take regressors x i = (x i1, x i2) = (t i, t i 2), the model takes on the standard form

  6. 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 ...

  7. Logistic regression - Wikipedia

    en.wikipedia.org/wiki/Logistic_regression

    Logistic regression is used in various fields, including machine learning, most medical fields, and social sciences. For example, the Trauma and Injury Severity Score (), which is widely used to predict mortality in injured patients, was originally developed by Boyd et al. using logistic regression. [6]

  8. Quantile regression - Wikipedia

    en.wikipedia.org/wiki/Quantile_regression

    Quantile regression is a type of regression analysis used in statistics and econometrics. Whereas the method of least squares estimates the conditional mean of the response variable across values of the predictor variables, quantile regression estimates the conditional median (or other quantiles) of the response variable.

  9. Regression validation - Wikipedia

    en.wikipedia.org/wiki/Regression_validation

    One measure of goodness of fit is the coefficient of determination, often denoted, R 2.In ordinary least squares with an intercept, it ranges between 0 and 1. However, an R 2 close to 1 does not guarantee that the model fits the data well.