A question about uncertainty using a regression line and experimental data

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SUMMARY

The discussion focuses on calculating uncertainty in the context of a regression line using experimental data from a circuit involving a dry cell and a variable resistor. The user utilized digital ammeters and voltmeters with a minimum display of 0.01V and 0.01A to gather measurements for plotting a VI graph. The main objective is to determine the uncertainty for internal resistance (r) and electromotive force (ξ) using the provided formula for uncertainty calculation. The user references linear regression techniques for further assistance.

PREREQUISITES
  • Understanding of basic electrical circuits and components, including dry cells and variable resistors.
  • Familiarity with digital measuring instruments such as ammeters and voltmeters.
  • Knowledge of regression analysis, specifically linear regression methods.
  • Ability to interpret and analyze graphical data, particularly VI graphs.
NEXT STEPS
  • Study the principles of uncertainty propagation in measurements.
  • Learn how to apply linear regression techniques to experimental data analysis.
  • Explore the concept of electromotive force (EMF) and its calculation methods.
  • Investigate advanced statistical methods for analyzing uncertainty in experimental results.
USEFUL FOR

Students in physics or engineering, experimental researchers, and anyone involved in data analysis requiring uncertainty quantification in measurements.

DanDavies
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Homework Statement


I'm new to uncertainty, so I needed a little assistance. The circuit in this experiment was simple, a dry cell connected to a variable resistor. I used an ammeter on the circuit and used a voltmeter across the resistor and took some measurments.

The experiment was to calculate EMF and Internal resistance using the results we obtained by plotting a VI graph.

The ammeter and voltmeter were digital, their minimum display were 0.01V & 0.01A

Can anyone explain to me how to get the uncertainty for r and for ξ?

Homework Equations


http://img686.imageshack.us/img686/1408/29533548.jpg

If the image doesn't work: http://img686.imageshack.us/img686/1408/29533548.th.jpg

The Attempt at a Solution


100(0.01/(5.83-0.45))+(0.01/(1.35-0.10)) %?
 
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