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.

Answer 1

The height of a puppy to be an adult is about 60 inches tall.

Explanation:

Dog's height was predicted as y = 4.5 + 0.7(x1) + 0.55(x2). Given than mother's height(x1) is 40.3in and father's height(x2) is 45.9in, so you can just substitute x1 & x2 value into the equation :

x1 = 40.3in

x2 = 45.9in

y = 4.5 + 0.7(40.3) + 0.55(45.9)

= 4.5 + 28.21 + 25.245

= 57.955in

≈ 60in (3s.f)

Answer 2

Answer:the height of the puppy would be 57.955 inches

Explanation:

The equation used to predict how tall a dog will be as an adult is

y =4.5 + 0.7x1 + 0.55x2,

where x1 is the height of the mother and

x2 is the height of the father.

We want to predict the height of a puppy whose mother is 40.3 inches tall and whose father is 45.9 inches tall. We would do this by substituting x1 = 40.3 and x2 = 45.9 into the given equation. It becomes

y =4.5 + 0.7 × 40.3 + 0.55 × 45.9

y = 4.5 + 28.21 + 25.245

y = 57.955 inches