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The linear regression calculator generates the linear regression equation, draws a linear regression line, a histogram, a residuals QQ-plot, a residuals x-plot, and a distribution chart.
It calculates the R square, the R, and the outliers, then it tests the fit of the linear model to the data and checks the residuals' normality assumption and the priori power.
The linear regression is the linear equation that best fits the points.
There is no one way to choose the best fit ting line, the most common one is the ordinary least squares (OLS). The linear regression describes the relationship between the dependent variable (Y) and the independent variables (X).
The linear regression model calculates the dependent variable (DV) based on the independent variables (IV, predictors).
The ordinary least squares method chooses the line parameters that minimize the sum of squares of the differences between the observed dependent variables (Y) and the estimated value by the linear regression (Ŷ).
b1 = | SPxy | = | Σ(xi-x̄)(yi-ȳ) |
SSx | Σ(xi-x̄)2 |
R2 = | SSRegression |
SSTotal |
F = | MS(regression) |
MS (residulas) |