Regression Least Squares Fitting
Tags: #math #regressionEquation
$$y_{i}=\alpha + \beta (x_{i} - \bar{x}) + \epsilon_{i} \\ \hat{\alpha}=\bar{y} \\ \hat{\beta}=\frac{s^{2}_{xy}}{s^{2}_{x}}$$Latex Code
y_{i}=\alpha + \beta (x_{i} - \bar{x}) + \epsilon_{i} \\ \hat{\alpha}=\bar{y} \\ \hat{\beta}=\frac{s^{2}_{xy}}{s^{2}_{x}}
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Introduction
To fit a straight line by least squares to n pairs of points (xi,yi), model the observations y by the above equation .
- Statistics of
is defined as
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