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# Give two properties of the line estimated with the method of least squares.

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Properties least-squares regression line:

• Line minimizes the sum of the squared errors of predictions (thus minimized the squared differences between the observed and predicted $y$-values).

• Line passes through the point $(\overline{x},\overline{y})$, where $\overline{x}$ represents the mean of all given $x$-values and $\overline{y}$ represents the mean of all given $y$-values.

• The constant of the equation of the regression line is the $y$-intercept of the regression line.

• The coefficient of $x$ of the equation of the regression line is the slope of the regression line.

• The sum of all errors of predictions is zero for the least-squares regression line.

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