Math  /  Data & Statistics

Question12{ }_{12} Can you tell how old a lion is by looking at its nose? A professor at the University of Wisconsin-Madison conducted a study of data taken from 32 lions and observed the relationship between age (in years) and proportion of blackness in the lion's nose. The equation of the least squares regression line was y^=0.8790+10.6471x\hat{y}=0.8790+10.6471 x where y^\hat{y} is the predicted age of the lion, measured in years, and xx is the proportion of the lion's nose that is black. A lion whose nose was 11%11 \% black was known to be 1.9 years old. What is the residual for the age of this lion? A) -0.15 years B) 0.15 years C) 0.88 years D) 2.05 years E) 10.65 years (Source: http://www.stat.wisc.edu/ st571-1/15-regression-4.pdf)

Studdy Solution
Compare the calculated residual to the given options. The closest option is:
A) -0.15 years
The residual for the age of the lion is:
0.15 years \boxed{-0.15 \text{ years}}

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