Which of the Following Assertions Is True About the Regression

question 27

Multiple Choice

Which of the following assertions is true about the regression line?

• A) The regression line is also called the least cubes line and is found minimizing the sum of the cubes of the residuals.
• B) It is found minimizing the sum of the residuals squared, but-even though it would be unnecessarily complicated-it could also be found minimizing the sum of the residuals cubed.
• C) Depending on the data, some regression lines could have only positive residuals.
• D) Depending on the data, some regression lines could have all residuals equal to zero.
• E) Depending on the data, some regression lines could have only negative residuals.

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Definitions:

Valence Shell Electron Pair Repulsion

This theory predicts the geometry of individual molecules from the number of electron pairs surrounding their central atoms.

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.