[Script Info]
Title:
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:00.00,0:00:03.00,Default,,0000,0000,0000,,Y will always be less extreme.
Dialogue: 0,0:00:03.00,0:00:08.00,Default,,0000,0000,0000,,The key to understanding this simply is this equation.
Dialogue: 0,0:00:08.00,0:00:18.00,Default,,0000,0000,0000,,This is what tells us that the standard scores have a regression coefficient â¤ 1.
Dialogue: 0,0:00:18.00,0:00:25.00,Default,,0000,0000,0000,,We said it's 1, and so because it's not 1 it must be less than that.
Dialogue: 0,0:00:25.00,0:00:28.00,Default,,0000,0000,0000,,That means the standard score shrinks.
Dialogue: 0,0:00:28.00,0:00:35.00,Default,,0000,0000,0000,,If the standard score shrinks that means if it's negative it moves this way.
Dialogue: 0,0:00:35.00,0:00:37.00,Default,,0000,0000,0000,,If it's positive it moves this way.
Dialogue: 0,0:00:37.00,0:00:40.00,Default,,0000,0000,0000,,That means there is more area under here,
Dialogue: 0,0:00:40.00,0:00:45.00,Default,,0000,0000,0000,,so this has to be a little more area than this.
Dialogue: 0,0:00:45.00,0:00:49.00,Default,,0000,0000,0000,,Therefore, y will always be less extreme.
Dialogue: 0,0:00:49.00,0:00:51.00,Default,,0000,0000,0000,,This is the concept of regression.
Dialogue: 0,0:00:51.00,0:00:55.00,Default,,0000,0000,0000,,That is regression to the mean.
Dialogue: 0,0:00:55.00,0:00:58.00,Default,,0000,0000,0000,,If someone is exceptional in one thing,
Dialogue: 0,0:00:58.00,0:01:02.00,Default,,0000,0000,0000,,we will always predict that person to be a bit less exceptional
Dialogue: 0,0:01:02.00,0:01:07.00,Default,,0000,0000,0000,,in that other thing if there is any error.