Answer:
[tex]y=-11x+261[/tex]
Step-by-step explanation:
As you can observe in the image attached, the line that best fits passes through point B and C. That means we can use those point to find the slope of such line.
[tex]m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]
Where [tex]B(11,137)[/tex] and [tex]C(12,126)[/tex]
[tex]m=\frac{126-137}{12-11}=-11[/tex]
So, the slope of the line that best fits is -11, approximately.
Now, we use the point-slope formula to find the equation.
[tex]y-y_{1} =m(x-x_{1} )\\y-137=-11(x-11)\\y=-11x+124+137\\y=-11x +261[/tex]
Therefore, the line that best fits is [tex]y=-11x+261[/tex] approximately.
Remember, when we estimate a line for some data on a scatterplot, we are calculating an approximation, that's why we also said "approximately", because the line is an approximation where the majority of point meet.
