# A question about sample partial correlation coefficient and multiple correlation coefficient

Question:

My problem:

All possible formulae of Multiple and Partial Correlation Coefficient I know :-

But I am not sure, which one to use to know about the situation or condition mentioned in the question.

• In light of your several most recent questions, perhaps you should stop trying to use algebraic formulas and focus instead on learning what these coefficients mean. In this instance, can you articulate what it means for a partial correlation coefficient to be $-1$? To be $1$? – whuber Nov 28 '18 at 22:22