Question

39. Kate recorded the time it took six children of

Answer 1

Answer:

$y=-11x+261$

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.

$m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }$

Where $B(11,137)$ and $C(12,126)$

$m=\frac{126-137}{12-11}=-11$

So, the slope of the line that best fits is -11, approximately.

Now, we use the point-slope formula to find the equation.

$y-y_{1} =m(x-x_{1} )\\y-137=-11(x-11)\\y=-11x+124+137\\y=-11x +261$

Therefore, the line that best fits is $y=-11x+261$ 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.