Question

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.

Answer 1

Answer: 59.02 inches.

Explanation:

Given : The equation used to predict how tall a dog will be as an adult is
`\hat{y}=4.5 + 0.7x_1 + 0.55x_2` , where
`x_1` is the height of the mother and
`x_2` 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
`x_1=45.2` and
`x_2=41.6` in the above equation, we get

`\hat{y}=4.5 + 0.7(45.2) + 0.55(41.6)\\\\\Rightarrow\ \hat{y}=59.02`

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