I am doing regression analysis on two stocks. The correlation coefficient is -0.7190 and the coefficient of determination is 0.5170. I am confused on how to interpret this. Is this correct...when stock A goes up 1%, 50% of the time stock B will go down 0.72%?
Aside from the purely theoretical interpretations hlsmith noted, in certain fields like business they have developed their own interpretations of what various statistical realities mean substantively. You would have to know the pertinent literature and decide in your own mind if that is a reasonable interpretation.