Went toward freedom in any amount of time, extrapolated to any other time, will still be in the same direction, aka toward freedom. The direction cannot change when you have two data points and linearly extrapolate
If they went up 0.1 in 10 years, if you extrapolate 10 more years, they’ll go up 0.1. If you extrapolate 5 years, they’ll go up 0.05. They’ll always go up at the rate of 0.1/10 years
Not if you look at the rate of change as well as the change. If it’s trending towards zero, it can be a curve rather than straight line. That can then trend negative.
Think of a car going fast, then applying the brakes. It slows down until it eventually stops.
Now think of a boat. It doesn’t have a brake. It has a reverse throttle. When you want to slow down, the motor goes backwards. When you hit zero, you start to then go backwards. That’s what they are extrapolating.
There’s only 2 points, not 3. You can’t look at the change of the change with only 2 points. For all we know, if they had done the survey in 2005, women would have been further towards freedom and moved towards control for 2014 and the change of the change would show they’re accelerating towards freedom.
Thats not how extraplation works…
Went toward freedom in any amount of time, extrapolated to any other time, will still be in the same direction, aka toward freedom. The direction cannot change when you have two data points and linearly extrapolate
If they went up 0.1 in 10 years, if you extrapolate 10 more years, they’ll go up 0.1. If you extrapolate 5 years, they’ll go up 0.05. They’ll always go up at the rate of 0.1/10 years
Yup, zero similarity in the trajectory of both age/gender demographics.
Thats not extrapolation, that’s interpretation.
Not if you look at the rate of change as well as the change. If it’s trending towards zero, it can be a curve rather than straight line. That can then trend negative.
Think of a car going fast, then applying the brakes. It slows down until it eventually stops.
Now think of a boat. It doesn’t have a brake. It has a reverse throttle. When you want to slow down, the motor goes backwards. When you hit zero, you start to then go backwards. That’s what they are extrapolating.
There’s only 2 points, not 3. You can’t look at the change of the change with only 2 points. For all we know, if they had done the survey in 2005, women would have been further towards freedom and moved towards control for 2014 and the change of the change would show they’re accelerating towards freedom.
Yes, I agree. However, looking at other similar data could lead to that conclusion. I don’t necessarily agree, but its not that left field.
I was even simplifying as in didn’t want to look at juatbthebrate of change but also the difference between positive and negative values.