ghetom
Oct31-10, 11:02 AM
1. The problem statement, all variables and given/known data
(The question is about micro vertex detectors, but I've distilled it into what needs to be done)
You have two points (x1,y1 and x2,y2), assumed to lie on a straight line. The points have a one sigma uncertainty of d. x1 and x2 are seperated by a distance L (much greater than d), and x1 is R (plus or minus any error). Find the error on the y-intercept; a.
2. Relevant equations
y = mx + a
\hat{y} = y + \epsilon
\hat{x} = x + \chi
3. The attempt at a solution
Unfortunantly nothing remotely useful so far...
(The question is about micro vertex detectors, but I've distilled it into what needs to be done)
You have two points (x1,y1 and x2,y2), assumed to lie on a straight line. The points have a one sigma uncertainty of d. x1 and x2 are seperated by a distance L (much greater than d), and x1 is R (plus or minus any error). Find the error on the y-intercept; a.
2. Relevant equations
y = mx + a
\hat{y} = y + \epsilon
\hat{x} = x + \chi
3. The attempt at a solution
Unfortunantly nothing remotely useful so far...