In Order to Calculate the Regression R² You Need the TSS

question 10

Essay

In order to calculate the regression R² you need the TSS and either the SSR or the ESS. The TSS is fairly straightforward to calculate, being just the variation of Y. However, if you had to calculate the SSR or ESS by hand (or in a spreadsheet), you would need all fitted values from the regression function and their deviations from the sample mean, or the residuals. Can you think of a quicker way to calculate the ESS simply using terms you have already used to calculate the slope coefficient?

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Definitions:

Existentialist Thinker

An individual who focuses on the study of existence, emphasizing personal freedom, choice, and responsibility.

Nietzsche

Friedrich Nietzsche, a German philosopher known for his critique of traditional morality and religion.

Kierkegaard

A Danish philosopher and theologian considered the father of existentialism, who explored the complexities of individual existence, choice, and faith.