The residual in the case of a GO of 8 percent and an observed ROE of 21

Question:

The residual in the case of a GO of 8 percent and an observed ROE of 21 percent is closest to:

A. −1.8 percent.

B. 2.6 percent.

C. 12.0 percent.

An analyst has estimated a model that regresses a company’s return on equity (ROE) against its growth opportunities (GO), defined as the company’s three-year compounded annual growth rate in sales, over 20 years, and produces the following estimated simple linear regression:

ROEi = 4 + 1.8 GOi + εi.

Both variables are stated in percentages, so a GO observation of 5 percent is included as 5.

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