The equation used to predict how tall a dog will be as an adult is ŷ=4.5 + 0.7x1 + 0.55x2, where x1 is the height of the mother and x2 is the height of the father. Use this equation to predict the height of a puppy whose mother is 45.2 inches tall and whose father is 41.6 inches tall.

Respuesta :

Answer: 59.02 inches.

Step-by-step explanation:

Given : The equation used to predict how tall a dog will be as an adult is [tex]\hat{y}=4.5 + 0.7x_1 + 0.55x_2[/tex] , where [tex]x_1[/tex] is the height of the mother and [tex]x_2[/tex] is the height of the father.

To predict the height of a puppy whose mother is 45.2 inches tall and whose father is 41.6 inches tall, we put  [tex]x_1=45.2[/tex] and  [tex]x_2=41.6[/tex] in the above equation, we get

[tex]\hat{y}=4.5 + 0.7(45.2) + 0.55(41.6)\\\\\Rightarrow\ \hat{y}=59.02[/tex]

Hence, the predicted height of a puppy = 59.02 inches.

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