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 40.3 inches tall and whose father is 45.9 inches tall.50.75 inches53.46 inches43.10 inches57.96 inches

Answer 1

We are given the equation ŷ=4.5 + 0.7x1 + 0.55x2, where x1 is the height of the mother and x2 is the height of the father. We need to predict the height of a puppy whose mother is 40.3 inches tall and whose father is 45.9 inches tall.

To do this, we need to replace x1 with 40.3 and x2 with 45.9.

`\begin{gathered} y=4.5+0.7x_1+0.55x_2 \\ y=4.5+0.7(40.3)+0.55(45.9) \\ y=4.5+28.21+25.245 \\ y=57.955 \end{gathered}`

Rounding off our answer to the nearest hundredths, we get y = 57.96 inches.