Question

the equation for the line of best fit is $y = \frac{2}{3}x + \frac{1}{3}$. according to the equation, which of these statements is true? the shoveling time increases by about 3 hours for every 2 inches of snowfall. the shoveling time increases by about 2 hours for every 3 inches of snowfall.

Explanation:

The line of best fit is in slope-intercept form \(y = mx + b\), where \(m\) (slope) is \(\frac{2}{3}\). Slope means the change in \(y\) (shoveling time) over change in \(x\) (snowfall). So \(\frac{2}{3}\) means for every 3-inch increase in snowfall, shoveling time increases by 2 hours. This matches the second statement.

Answer:

The shoveling time increases by about 2 hours for every 3 inches of snowfall.