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

The equation of line of best fit is:

`y=(15)/(22)x+(6)/(11)`

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=(d-b)/(c-a)* (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=(21-6)/(30-8)* (x-8)\\\\\\y-6=(15)/(22)* (x-8)\\\\y-6=(15)/(22)x-(8* 15)/(22)\\\\y=(15)/(22)x-(60)/(11)+6\\\\y=(15)/(22)x+(6)/(11)`