The correct answer is y= 15/22x +6/11. I know this is late but it can be useful to others. :)
Answer:
The equation of line of best fit is:
[tex]y=\dfrac{15}{22}x+\dfrac{6}{11}[/tex]
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:
[tex]y-b=\dfrac{d-b}{c-a}\times (x-a)[/tex]
Here we have:
(a,b)=(8,6) and (c,d)=(30,21)
Hence, the equation of line of best fit is calculated as:
[tex]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}[/tex]
