Lab report least square fiiting line error ?

Click For Summary
SUMMARY

The discussion focuses on understanding the concept of "least squares fitting line error" in the context of simple linear regression, represented by the equation y = A + Bx. Participants clarify that the errors in coefficients A and B are related to uncertainty rather than requiring comparison with other lines. The conversation emphasizes that results from linear regression inherently provide insights into these errors. Additionally, there is a mention of exploring slopes around the centroid of the least squares line, raising questions about calculating uncertainties in slope and y-intercept.

PREREQUISITES
  • Understanding of simple linear regression concepts
  • Familiarity with the least squares method
  • Basic knowledge of statistical uncertainty
  • Ability to interpret linear equations
NEXT STEPS
  • Research "simple linear regression" techniques and applications
  • Explore methods for calculating uncertainties in slope and intercept
  • Learn about the least squares fitting method in depth
  • Investigate centroid calculations in linear regression analysis
USEFUL FOR

Students, researchers, and professionals in statistics, data analysis, and anyone involved in regression analysis seeking to understand the implications of errors in linear models.

jessicaw
Messages
54
Reaction score
0
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!
 
Physics news on Phys.org


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?
 

Similar threads

  • · Replies 31 ·
2
Replies
31
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 8 ·
Replies
8
Views
2K
Replies
24
Views
3K
  • · Replies 13 ·
Replies
13
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K