﻿[Script Info] Title: [Events] Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text Dialogue: 0,0:00:00.32,0:00:05.13,Default,,0000,0000,0000,,Now we need a way to quantify this and we do that much the same way that we Dialogue: 0,0:00:05.13,0:00:09.97,Default,,0000,0000,0000,,calculate the standard deviation. We take each residual, in other words the Dialogue: 0,0:00:09.97,0:00:16.34,Default,,0000,0000,0000,,observed minus expected value. We square them to get rid of negatives. That's Dialogue: 0,0:00:16.34,0:00:21.71,Default,,0000,0000,0000,,the same as finding the area of each of these squares. That essentially we find Dialogue: 0,0:00:21.71,0:00:26.49,Default,,0000,0000,0000,,the average square. But we correct for the fact that it's a sample, by dividing Dialogue: 0,0:00:26.49,0:00:33.80,Default,,0000,0000,0000,,by N-2, where N is the number of points. In this case there are six. And then Dialogue: 0,0:00:33.80,0:00:39.71,Default,,0000,0000,0000,,finally, we take the square root to put it back into terms of distance rather Dialogue: 0,0:00:39.71,0:00:44.84,Default,,0000,0000,0000,,than squared values. This is called the standard error of the estimate.