Coefficient determination vs non determination

Question

For coefficent determination is the variation of y is DUE to variation of x always? And for coefficent nondetermination variation of y is NOT DUE to variation of x right ? I would like to know if I am correct please ?

Answer 1

You are not correct because your question is grammatically unclear and we don't know what y and x represent. I hope that I have guessed correctly what you meant....

In general, in multiple or even bivariate regression, R^2 is the fraction of the variation in the dependent variable, often called "y", which can be explained by variation in the independent variable(s), often called "x" or vector "X", in the multivariate case. R^2 is also called the "coefficient of determination."

The "coefficient of non-determination", (1-R^2), is the fraction of the variation in the dependent variable, often called "y", which cannot be explained by variation in the independent variable(s), often called "x" or vector "X", in the multivariate case.