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?

---

Definitions:

Pay Equity

A principle of employee compensation where individuals are paid equally for work of equal value, without discrimination based on gender or other factors.

Simple Random Sample

A subset of a statistical population in which each member has an equal probability of being chosen.

Faculty Members

Individuals who are members of the teaching or academic staff at an educational institution.

Mean

The arithmetic average of a set of numbers, calculated by adding all the numbers in the set and dividing by the count of those numbers.