Question

Can someone help me find the line of best fit on this scatter plot?

Answer 1

are u sure it must be a \(\sf \Large line\)?!

Answer 2

sound like a curve! not line!

Answer 3

Do you want the question I was given? I had to make a scatter plot out of some data and find the line of best fit:
http://prntscr.com/46jlve

Answer 4

How did you find the line of best fit though...

Answer 5

doesn't seem the BEST fit @Purplerainbowcherry

Answer 6

ya, but i couldnt find a better one :/

Answer 7

I used a small ruler up against your graph, and I would think it safe to say that using the points (0,55) and (45,90) are exactly the two points that would be the start of the line of best fit and a point that falls directly on it.

Answer 8

All you need to do is get a ruler though? Or can you do something mathematically to find it?

Answer 9

So I will proceed to find the slope between these two points, and then use that slope and one of the points to write an equation. The thing with lines of best fit is that your perception of best fit may not be EXACTLY like my perception of best fit. You just have to pick where you feel the line would fall directly between the points, either mostly ON the points or falling between them so there are the same number of dots on one side of the line as the other.

Answer 10

it would be more exact if we consider (0,58)

Answer 11

and (47,90)

Answer 12

I used a ruler to keep my line straight and figure the points as best as possible. PFEH.1999 found points he feels fit better. But the equation will not be that different from the one I find.

Answer 13

yea,the difference would not be very much but i only wanted to say the exact one ;)

Answer 14

The slope between my two points is 7/9.

Answer 15

Now I will use the point (45,90) to write an equation that I feel is a line of best fit.
y-90=7/9(x-45)
y-90=7/9x - 315/45
y=7/9x - 315/45+90
y=7/9x - 315/45 + 4050/45
y= 7/9x + 149.4

Answer 16

That looks crazy right? But with a perception of a line of best fit, sometimes this is the kind of equation you find. Using the points that @PFEH.1999 used, the slope is 32/47. And his equation would be y=32/47x + 58

Answer 17

Thank You So Much!

Answer 18

An online regression calculator gave the following equation:

y = 0.9648x + 45.5471

http://prntscr.com/46jt8y

Answer 19

Where did you make that?

Answer 20

http://www.alcula.com/calculators/statistics/linear-regression/

Answer 21

Thanks!

Answer 22

You are welcome.