Question

The scatter shows the time spent texting, and the time spent exercisingby each of 23 students last week (a) Write an approximate equation of the line of best fit for the data. It doesn't have to be the exact line of best fit b) Using your equation from part (a)predict the time spent exercising for a student who spends 4 hours texting Note that you can use the graphing tools to help you approximate the linear

Answer 1

SOLUTION

Consider the graph shown:

From the graph the equation is:

$\begin{gathered} y-9.1=\frac{6.3-9.1}{3.5-0.9}(x-0.9) \\ y-9.1=-1.07(x-0.9) \\ y=-1.07x+10.06 \end{gathered}$

Therefore the approximate equation is:

$y=-1.07x+10.06$

Substitute x=4 into the equation:

$\begin{gathered} y=-1.07(4)+10.06 \\ y=5.72 \end{gathered}$