Lab report least square fiiting line error ?

AI Thread Summary
The discussion centers on understanding the concept of "least square fitting line error" in the context of linear regression, represented by the equation y=A+Bx. Errors in the coefficients A and B are acknowledged as uncertainties, which do not require comparison with other lines for analysis. Participants suggest looking into linear regression resources for formulas and explanations. There is also a query about using the centroid of the least square line to determine maximum and minimum slopes, along with calculating uncertainties for the slope and y-intercept. Overall, the conversation emphasizes the statistical nature of errors and the importance of linear regression in addressing these uncertainties.
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lab report least square fiiting line "error"?

what is least square fiiting line "error"?
y=A+Bx
It is said that there is errors involved in A and B;So the least square line has to be compared to some other lines to determine the errors. But how to do it? Are there any formulas??
Thank you!
 
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jessicaw said:
what is least square fiiting line "error"?
y=A+Bx
You can google for "simple linear regression.
It is said that there is errors involved in A and B;
Yes, this is a statistical issue - but think of the errors as uncertainty
So the least square line has to be compared to some other lines to determine the errors.
No, you do not need to compare it to other lines. results on linear regression will explain that.
But how to do it? Are there any formulas??
Again, look at the linear regression stuff.

Thank you!
You are welcome. good luck. If you have more questions bring them back.
 


statdad said:
You can google for "simple linear regression.

Yes, this is a statistical issue - but think of the errors as uncertainty

No, you do not need to compare it to other lines. results on linear regression will explain that.

Again, look at the linear regression stuff.


You are welcome. good luck. If you have more questions bring them back.

Well the linear regression is too difficult. Can i rotate around the centroid of the least square line and find the maximum slope and minimum slope? But how to find the maximum slope is another problem.
You mention the error is uncertaincies earlier. Is it the uncertainty of points? Can i use it to calculate the uncertaincies(errors) of slope and y-intercept?
 
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