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The volume (in cubic feet) of a black cherry tree can be modeled by the equation
y = 50.9 + 0.3x1 + 5.3x2
where x1, is the tree's height (in feet) and x2, is the tree's diameter (in inches). Use the multiple regression equation to predict the y-values for the values of the independent variables.
a) x1 = 72, x2 = 8.9.
b) x1 = 67, x2 = 10.6.
c) x1 = 84, x2 = 16.3.
d) x1 = 90, x2 = 20.8.
The predicted volume is_____.

Respuesta :

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Answer:

119.67 ; 127.18 ; 162.49 ; 188.14

Step-by-step explanation:

Given the regression equation:

y = 50.9 + 0.3x1 + 5.3x2

Where :

x1, is the tree's height (in feet) and x2, is the tree's diameter (in inches)

A) x1 = 72, x2 = 8.9

y = 50.9 + 0.3(72) + 5.3(8.9)

y = 50.9 + 21.6 + 47.17

y = 119.67

B) x1 = 67, x2 = 10.6

y = 50.9 + 0.3(67) + 5.3(10.6)

y = 50.9 + 20.1 + 56.18

y = 127.18

C) x1 = 84, x2 = 16.3

y = 50.9 + 0.3(84) + 5.3(16.3)

y = 50.9 + 25.2 + 86.39

y = 162.49

D.) x1 = 90, x2 = 20.8

y = 50.9 + 0.3(90) + 5.3(20.8)

y = 50.9 + 27 + 110.24

y = 188.14

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