Question

how is the coefficient of determination found?
by squaring the explained variation and then subtracting from one.
by squaring the correlation coefficient and then subtracting from one.
by squaring the correlation coefficient.
by squaring the explained variation.

Explanation:

The coefficient of determination ($R^2$) is directly calculated as the square of the Pearson correlation coefficient ($r$), i.e., $R^2 = r^2$. It represents the proportion of variance in the dependent variable explained by the independent variable(s). The other options incorrectly describe the calculation: subtracting from one relates to unexplained variance, and squaring explained variation is not the standard method.

Answer:

By squaring the correlation coefficient.