A researcher is attempting to predict the number of lions in an African habitat based on previous data. He has formed a regression equation which is: Y = 25 + 0.5X – 2ZX, where X is the number of years since the first population sample, and Z is the death rate of the lions. If it has been 10 years, and the death rate is 1 lion per year, what is the predicted number of lions in the habitat?

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Correct Answer: **A.** *10*

We are given a regression equation, which is Y = 25 +0.5X – 2ZX, where X is 10 years and Z is 1 lion per year. This means that the equation can be substituted as Y = 25 +0.5(10) – 2(10)(1) = 10 lions remaining after 10 years.

Y=25+0.5X-2Z

X=10 years, Z=1 lion death per year

Y=25+0.5(10)-2(10)(1)= 10 lions remaining

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