You are given the following regression tree predicting the weight of ducks in kilograms (kg):

You predict the weight of the following three ducks:

X: Wing Span = 5.5 cm, Male, Age = 7 years

Y: Wing Span = 5.8 cm, Female, Age = 5 years

Z: Wing Span = 5.7 cm, Male, Age = 8 years

Determine the order of the predicted weights of the three ducks.

• X<Y<Z
• X<Z<Y
• Y<X<Z
• Y<Z<X
• Z<X<Y

Copyright 2023. The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.

Key: C

For duck X: Age = 7 => go left. Gender = Male => go right. Prediction = 0.90 kg.

For duck Y: Age = 5 => go left. Gender = Female => go left. Prediction = 0.80 kg.

For duck Z: Age = 8 => go right. Gender = Male => go right. Wing Span = 5.7 => go right. Prediction = 1.25.

Y < X < Z.

Copyright 2023. The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.