IB Physics: Determining Uncertainty in slope and Y intercept (old version)

Demonstrates how to determine the uncertainty in the slope and y-intercept, and demonstrates the usefulness and meaning of these quantities.
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Table of Contents
0:00 Introduction
0:05 The data
0:32 Graph of the data
4:09 Calculate uncertainty in slope and slope
6:39 Purpose of find the uncertainty in slope
7:37 Uncertainty in y-intercept
9:26 Why find the uncertainty in the y-intercept
11:09 Example with solution.

[zanbutt]

at 11:25 I think the min points should be (103, 190), and would in turn affect the slope and uncertainties. Also, thanks for posting all these amazing videos.

[donerphysics]

Thanks. The graphs were made with Microsoft Excel.

[laural]

This was really helpful for me. Thank you for your videos!

[GabrielS]

Jeez, thank you very much! My physics practicals are giving me a hard time with all those weird uncertainties and graphs.

[abuzzabbas]

Mr. Doner for the last question aren't the min x coordinate suppose to be 103 and the max x coordinate suppose to be 97?

[skkanthi]

In the topic uncertainty in the Y intercept, shouldn't the equations be like this?
min slope line y = 3.40x + 21.2
max slope line y = 6, 76x + 0.41
Thanks

[TopAhmed]

what method should i use for young's modulus graph? Its not straight line ...

[Evultz]

What about the fact your min slope doesnt go through the second last point? How can it be a line of worst fit if it doesnt fit/go through all the points?

[joshlerner]

Can you still calculate the slope uncertainty with error bars that are too small to be considered graphically significant?

[coolkid]

To find uncertainty in y-int, would you also do (max-min)/2 just like for slope?

[maggiexu]

Hi just have a question, at 8:02, how did you know the y intercept is 0.41?   Thank you

[joshparchure]

Hi there. How would i calculate the percentage uncertainties in gradient and y intercept from the absolute uncertainties?

[caprimbombartic]

Where do you get the uncertainties from in the table from the beginning?

[millamulisha]

This isn't totally on the level, might work in some cases as a quick heuristic (like an approximation) but this is not how you calculate the propagation of uncertainty for linear regression...

[raspberry]

what if my first coordinate is (0, 0)? Do I still draw the error rectangle on the 0, 0 point

[skatiaris]

is there a way to calculate the uncertainty of the slope of a tangent of a curve at any specific point ? Lets say you have a quadratic curve of best fit and you want to find the uncertainty of the slope of the tangent at 0 point. The slope can be calculated as f'(0). What about the uncertainty of that ? Thank you