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Maybe this should be in calculus instead...
I'm getting reaquainted with stats and I ran across the z-table again. I always wondered how the value in the table are populated.
As I understand it, the values in the table are just the value along the X axis and the corresponding area for a normal distribution. Wouldn't this be the same as find the area under the curve using an integral in calculus?
I don't know the equation for the curve used in creating the z-table.
Anyway, if what I said is true, then I should be able to make an equation for whatever curve is generated by the data. I made up some data below with a strong left curve.
X value Y value
1 1
2 2
3 3.3
4 5
5 7
6 9
7 11
8 11
9 9
10 2
1. How do I make an equation using these data points?
2. Once I have that equation, how do I integrate?
Note: I will answer Qs 1 and 2 soon. I am wondering if my original thoughts on how a z-table are created are true. When I asked in class some 2 years ago I remember my prof saying "you don't want to go into that, it's complicated"! :P
Thanks PF crew!
I'm getting reaquainted with stats and I ran across the z-table again. I always wondered how the value in the table are populated.
As I understand it, the values in the table are just the value along the X axis and the corresponding area for a normal distribution. Wouldn't this be the same as find the area under the curve using an integral in calculus?
I don't know the equation for the curve used in creating the z-table.
Anyway, if what I said is true, then I should be able to make an equation for whatever curve is generated by the data. I made up some data below with a strong left curve.
X value Y value
1 1
2 2
3 3.3
4 5
5 7
6 9
7 11
8 11
9 9
10 2
1. How do I make an equation using these data points?
2. Once I have that equation, how do I integrate?
Note: I will answer Qs 1 and 2 soon. I am wondering if my original thoughts on how a z-table are created are true. When I asked in class some 2 years ago I remember my prof saying "you don't want to go into that, it's complicated"! :P
Thanks PF crew!