Irma is an arborist, or a person who specializes in caring for trees. This scatter plot shows the ages and heights of the maple trees at the nursery where she works. It also shows the line of best fit.

The equation for the line of best fit is y=1.25x+0.2. According to the equation, which of these statements is true?

1 answer

The equation for the line of best fit is \( y = 1.25x + 0.2 \), where \( y \) represents the height of the maple trees, and \( x \) represents their age.

From this equation, we can interpret several aspects:

  1. Slope (1.25): For every increase of 1 year in age (\( x \)), the height of the trees (\( y \)) increases by 1.25 units. This indicates a positive relationship between age and height of the maple trees—older trees are expected to be taller.

  2. Y-intercept (0.2): When the age of the tree (\( x \)) is 0 (i.e., when the tree is newly planted), the expected height (\( y \)) is 0.2 units. This suggests that the trees have a small initial height when they are just planted.

To determine which statement is true based on this equation, you would need to compare options or statements given in a list. From the information we have, you can verify statements related to the slope, y-intercept, or the general relationship between age and height.

If you have specific statements or options that you're considering, please provide them, and I can help identify which one is true based on the given equation!