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Tips on drawing a best fit line?


ShootingStar16

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Hey,

 

I'm assuming you have a bunch of points on your graph, and you're meaning to represent the pattern (of the graph; so is it increasing, decreasing, etc.) with a line of best fit.

 

You want to basically draw your line through all of the points (not necessarily connect them; well unless it's linear), and draw the line in the direction your data points to (increasing, decreasing, etc.).

 

It's hard to explain, but these pictures should give you an idea:

 

https://www.google.ca/search?q=line+of+best+fit&biw=1366&bih=667&source=lnms&tbm=isch&sa=X&ei=PKlqVKruE4ilyASSgoHQCg&sqi=2&ved=0CAYQ_AUoAQ#facrc=_&imgdii=_&imgrc=jZ-8I-tHRKGfWM%253A%3BwFBnwF93-KABRM%3Bhttp%253A%252F%252Fwww.mathsisfun.com%252Fdata%252Fimages%252Fscatter-ice-cream1a.gif%3Bhttp%253A%252F%252Fwww.mathsisfun.com%252Fdefinitions%252Fline-of-best-fit.html%3B453%3B278

 

https://www.google.ca/search?q=line+of+best+fit&biw=1366&bih=667&source=lnms&tbm=isch&sa=X&ei=PKlqVKruE4ilyASSgoHQCg&sqi=2&ved=0CAYQ_AUoAQ#facrc=_&imgdii=_&imgrc=Ozkh3Z35yPhO5M%253A%3BxhsLeBqE09YFMM%3Bhttp%253A%252F%252Fstaff.argyll.epsb.ca%252Fjreed%252Fmath9%252Fstrand4%252Fpizza2.jpg%3Bhttp%253A%252F%252Fstaff.argyll.epsb.ca%252Fjreed%252Fmath9%252Fstrand4%252F4104.htm%3B637%3B528

 

Hopefully that was of some use.

Edited by Mathemagician
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If you have a TI N-spire, or similar calculator, you can enter in the data points and do a linear regression. It'll give you the 'least squares line' - and will luckily tell you what the equation actually is! 

 

For example: https://epsstore.ti.com/OA_HTML/csksxvm.jsp?nSetId=108059

The equation it gives you is y=ax+b, where the calculator gives you a and b.

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Also, i figure checking out a few examples help

 

http://www.mathsisfun.com/definitions/line-of-best-fit.html

http://www.glogster.com/haleybelt/line-of-best-fit/g-6n0hhq97n3deh5bbndah8bt

Here are a couple of them that I found, for linear examples

 

http://terpconnect.umd.edu/~toh/spectrum/CurveFitting.html

http://www.york.ac.uk/physics/people/tallents/l11809/

And here are a couple for curves

 

Just remember to scroll down the website to find them

hope i helped

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