Question

a basketball coach plotted data about her shooting guards playing time and point scoring in a scatterplot

Answer 1

The correct answer is y= 15/22x +6/11. I know this is late but it can be useful to others. :)

Answer 2

Answer:

The equation of line of best fit is:

$y=\dfrac{15}{22}x+\dfrac{6}{11}$

Step-by-step explanation:

Clearly from the scatter plot we could observe that the line of the best fit passes through the point (8,6) and (30,21)

We know that the equation of a line, passing through two points (a,b) and (c,d) is calculated by:

$y-b=\dfrac{d-b}{c-a}\times (x-a)$

Here we have:

(a,b)=(8,6) and (c,d)=(30,21)

Hence, the equation of line of best fit is calculated as:

$y-6=\dfrac{21-6}{30-8}\times (x-8)\\\\\\y-6=\dfrac{15}{22}\times (x-8)\\\\y-6=\dfrac{15}{22}x-\dfrac{8\times 15}{22}\\\\y=\dfrac{15}{22}x-\dfrac{60}{11}+6\\\\y=\dfrac{15}{22}x+\dfrac{6}{11}$