Suppose You Fit a Least Squares Line to 20 Data $s ^ { 2 }$

question 87

Essay

Suppose you fit a least squares line to 20 data points and the calculated value of SSE is
0.476. a. Find $s ^ { 2 }$ , the estimator of $\sigma ^ { 2 }$ .
b. What is the largest deviation you might expect between any one of the 20 points and the least squares line?

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Definitions:

Hydrogen Sulfide Molecule

A chemical compound with the formula H2S, characterized by a foul odor of rotten eggs; it is a poisonous, corrosive, and flammable gas.

Electronegativity Difference

The measure of the tendency of an atom to attract a bonding pair of electrons towards itself, used to predict the nature of chemical bonds.

Polar Covalent

A type of chemical bond where two atoms share a pair of electrons but they do so unequally, leading to a partial positive charge on one atom and a partial negative charge on the other.

Nonpolar Molecules

Molecules that do not have distinct electrical poles, resulting in a uniform distribution of electrical charge and often being hydrophobic or insoluble in water.