## Related questions with answers

In the article "Bigger Teeth for Longer Life? Longevity and Molar Height in Two Roe Deer Populations", researchers developed a model to predict the tooth height (in mm),y, of roe deer based on their age, $x_1$, gender, $x_2$(0=female, 1=male), and location, $x_3$ (Trois Fontaines deer, which have a shorter life expectancy, and Chaize, which have a longer life expectancy, $x_3$=0 for Trois Fontaines, $x_3$=1 for (Chize). The model is $\hat{y}=7.790-0.382 x_{1}-0.587 x_{2}-0.925 x_{3}+0.091 x_{2} x_{3}$.

What is the expected tooth length of a female roe deet who is 12 years old and lives in Trois Fontaines?

Solution

VerifiedWe are given a multiple regression model that predicts the tooth height of roe deer $y$ (in mm) based on their age $x_{1}$, gender $x_{2}$ (takes values $0$ for a female and $1$ for a male) , and location $x_{3}$ (takes values $0$ for Trois Fontaines and $1$ for Chize).

$\hat{y}=7.790-0.382x_{1}-0.587x_{2}-0.925x_{3}+0.091x_{2}x_{3}$

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