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Question
Give two properties of the line estimated with the method of least squares.
Solution
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1 of 2Properties leastsquares 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 leastsquares regression line.
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