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DS3LinearRegression053 - Propagation of Error Linear...

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Propagation of Error, Linear Regression: Getting an Uncertainty from a Slope and Intercept, Discussion Section DS3 In many experiments, you’ll need to plot your experimental data to create a graph. In so doing, you must find one, or two “best fit” lines. For each line, there are values for the slope and the intercept, at least one of which appears in your combined equation for your quantity of interest. However, values for slopes and intercepts are somewhat uncertain. Using some features of Excel (demonstrated below), you can find out how large the uncertainty is in your slope and intercept, which will allow you to do an appropriate propagation of error to find how much uncertainty exists for your single line (or two lines). The propagation of error due to the uncertainty of the slopes and intercepts can thus be calculated. While the process is easy, not all copies of Excel immediately show “Data Analysis” under Tools. If your computer has Office 2003 you may only have to activate this option.
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