Question

the equation for the line of best fit is $y = 1.5x + 2.5$. in this context, what is the meaning of 1.5? when children get 1 year older, they go up about 1.5 shoe sizes. the feet of a typical child take 1.5 years to grow 1 shoe size. a newborn baby starts with a shoe size of 1.5. a child who is $x$ years old has a shoe size of $1.5x$.

Explanation:

The line of best fit is in the form \(y = mx + b\), where \(m\) is the slope (rate of change). Here, \(m = 1.5\) means for each 1-unit increase in \(x\) (age), \(y\) (shoe size) increases by 1.5. This matches the first option. The other options misinterpret the slope: the second reverses the rate, the third confuses slope with intercept, and the fourth ignores the intercept term.

Answer:

When children get 1 year older, they go up about 1.5 shoe sizes.