George E Hammond
Registered Senior Member
You're not understanding the question. I'm asking why you are associating a correlation coefficient with a cosine. Yes, both of them are numbers between 0 and 1 - but so were most of the prices at Woolworths in the 1950s. You are not showing the logical connection between correlation coefficients and cosines. When you see a correlation coefficient, how do you know whether it is associated with the cosine of an angle and not with the price of a thimble? Show us every step in that thought process.
I could just as easily take the price of a thimble .71 and draw two vectors on a blackboard - but what would that mean? By your "logic", it seems to mean that thimbles equate to Anxiety and/or introversion.
You need to show us the steps, how you're getting from A to B.
[GE Hammond MS physics]
Put the following question in a Google
search: –
"Why is a correlation coefficient
the cosine of an angle?"
You will get 1.2 million hits – and here's what the first page says:
Correlation Coefficient as Cosine - Mathematics Stack Exchange
https://math.stackexchange.com › questions › correlatio...
Cosines and correlation - John D. Cook
https://www.johndcook.com › blog › 2010/06/17 › cov...
Why are correlation and cosine so closely related? - Quora
https://www.quora.com › Why-are-correlation-and-cosi...
Cosine similarity, Pearson correlation, and OLS coefficients
https://brenocon.com › blog › 2012/03 › cosine-similar...
Should correlation coefficients be expressed as angles?
https://www.lesswrong.com › posts › should-correlation...
Geometric Interpretation of the Correlation between Two ...
https://medium.com › geometric-interpretation-of-the-c...
Lecture 12: Correlation - Harvard Math
https://people.math.harvard.edu › ~knill › handouts
Feb 23, 2011 — length of X. The correlation is the cosine of the angle between the two vectors.
(PDF) Geometric interpretation of a correlation - ResearchGate
https://www.researchgate.net › publication › 256374947_...
The correlation coefficient is the cosine of the angle θ between two observed vectors in N-dimensional space
There are over 1 million articles
explaining why a correlation
coefficient is the cosine of an
angle !
Get over it –
let's get on with the task of
explaining the scientific proof
of God
George