When processing two-dimensional data, one method is to project the data vertically onto a certain line and use that line as a number line to understand the variance of the one-dimensional data formed by the projection points. For the set of two-dimensional data shown in the figure, which line in the following options would result in the smallest variance of the one-dimensional projected data? (1) $y = 2 x$ (2) $y = - 2 x$ (3) $y = - x$ (4) $y = \frac { x } { 2 }$ (5) $y = - \frac { x } { 2 }$
When processing two-dimensional data, one method is to project the data vertically onto a certain line and use that line as a number line to understand the variance of the one-dimensional data formed by the projection points. For the set of two-dimensional data shown in the figure, which line in the following options would result in the smallest variance of the one-dimensional projected data?\\
(1) $y = 2 x$\\
(2) $y = - 2 x$\\
(3) $y = - x$\\
(4) $y = \frac { x } { 2 }$\\
(5) $y = - \frac { x } { 2 }$