Suppose You Fit a Least Squares Line to 22 Data $s ^ { 2 }$

question 20

Essay

Suppose you fit a least squares line to 22 data points and the calculated value of SSE is .678. a. Find $s ^ { 2 }$ , the estimator of $\sigma ^ { 2 }$ .
b. Find $s$ , the estimator of $\sigma$ .
c. What is the largest deviation you might expect between any one of the 22 points and the least squares line?

---

Definitions:

Vibrating Molecules

Vibrating molecules are the movement of atoms within molecules that occurs due to thermal energy, responsible for phenomena such as temperature and sound propagation through materials.

Wave

A disturbance that transfers energy from one place to another across a medium or vacuum, characterized by its amplitude, wavelength, and frequency.

Auditory Canal

The tube-like structure that leads from the outer ear to the eardrum, transmitting sound waves to the middle ear.

Sound Waves

Vibrations that travel through the air or another medium, which can be heard when they reach a person's or animal's ear.