Question

This scatter plot shows the foot circumference and height of 15 elephants.
We can substitute into our equation that represents the linear model to predict the height of an elephant with a 115 cm foot circumference. Start by substituting 115 cm for x.
y
=
2x
y
=
2·

Answer 1

To predict the height of an elephant using the linear model \( y = 2x \), where \( y \) is the height and \( x \) is the foot circumference, you substitute \( 115 \, \text{cm} \) for \( x \).

Here’s how to do it step by step:

1. Start with the equation:
\[ y = 2x \]

2. Substitute \( 115 \, \text{cm} \) for \( x \):
\[ y = 2 \cdot 115 \]

3. Perform the multiplication:
\[ y = 230 \]

So, according to the linear model, the predicted height of an elephant with a foot circumference of \( 115 \, \text{cm} \) is \( 230 \, \text{cm} \).