If the Residuals of a Regression on a Large Sample

question 19

Multiple Choice

If the residuals of a regression on a large sample are found to be heteroscedastic which of the following might be a likely consequence?
(I) The coefficient estimates are biased
(ii) The standard error estimates for the slope coefficients may be too small
(iii) Statistical inferences may be wrong

• A) (i) only
• B) (ii) and (iii) only
• C) (i), (ii) and (iii)
• D) (i) and (ii) only

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Definitions:

1° Amine

Primary amine, an organic compound featuring a basic nitrogen atom with one alkyl or aryl group.

Sulfonamide

A functional group or compound containing the sulfonamide group, which is -SO2NH2, used in many drugs.

Hofmann Elimination

A chemical reaction where an amine is treated with an excess of a halogen compound to yield an alkene.

E2 Pathway

A type of bimolecular elimination reaction mechanism where a substrate undergoes deprotonation by a base, leading to the formation of a double bond and the loss of a leaving group in a single step.