Question

Question
A statistician developed a model to predict an individual’s weight, in pounds, based on their height, in inches. Which of the following models would be the least accurate at predicting the weight of a 5-foot-tall person?

Model #1: y=20+2x


Model #2: y=2+20x


Model #3: y=2+2x


(1 point)
Model #
would provide the least accurate prediction.

Answer 1

To determine which model would provide the least accurate prediction for the weight of a 5-foot-tall person (which is 60 inches), we can substitute \( x = 60 \) into each of the models and evaluate the results.

1. **Model #1: \( y = 20 + 2x \)**
\[
y = 20 + 2(60) = 20 + 120 = 140
\]

2. **Model #2: \( y = 2 + 20x \)**
\[
y = 2 + 20(60) = 2 + 1200 = 1202
\]

3. **Model #3: \( y = 2 + 2x \)**
\[
y = 2 + 2(60) = 2 + 120 = 122
\]

Now we summarize the predictions:
- Model #1 predicts a weight of 140 pounds.
- Model #2 predicts a weight of 1202 pounds.
- Model #3 predicts a weight of 122 pounds.

Model #2 predicts an unrealistically high weight of 1202 pounds, making it the least accurate prediction among the three models.

Therefore, the answer is:
**Model #2** would provide the least accurate prediction.