Question

Which of the following best describes what you would expect to find if you estimated the simple linear regression of MPG (miles per gallon) on weight, omitting length?

A) The estimated relationship between MPG and weight would be biased and inefficient.

B) The estimated relationship between MPG and weight would be unbiased but inefficient.

C) The estimated relationship between MPG and weight would be unbiased and efficient.

D) The estimated relationship between MPG and weight would be biased and efficient.

Answer 1

The estimated relationship between MPG and weight in a simple linear regression, omitting length, would be biased but efficient.

Step-by-step explanation:

The estimated relationship between MPG (miles per gallon) and weight in a simple linear regression, omitting length, would be biased but efficient. This means that the estimated slope of the regression line would not accurately represent the true relationship between MPG and weight, but it would still be considered efficient in terms of minimizing the sum of squared residuals. Omitting a relevant variable like length would introduce bias into the estimated relationship.