Why must the correlation coefficient for a straight line be $\displaystyle -1 \leq r \leq 1$

- Jun 9th 2010, 10:47 PMsuperdudewhat is the proof that the corelation coefficent falls between -1 and 1[RESOLVED]
Why must the correlation coefficient for a straight line be $\displaystyle -1 \leq r \leq 1$

- Jun 9th 2010, 10:58 PMmatheagle
This has nothing to do with lines.

Correlation by the Cauchy-Schwarz inequality is between -1 and 1.

http://www.aiaccess.net/English/Glos...hy_schwarz.htm

http://www.aiaccess.net/English/Glos...oefficient.htm