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Yes, there is a systematic way of acquiring the line of best fit. Decide wether or not you are going to have a data point that intercepts the line. If you have an odd number of results, then the answer to this is yes. Your line will pass through one data point and evenly distribute the data points on corresponding sides. Eg with 11 data points, the line ...


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This is, generally, difficult question. But usually, programs for fits includes already a number of predefined functions. I use free Java program called SCaVis (http://jwork.org/scavis) for data fits and it has a number of predefined functions, such as polynomial, exponential, logs, etc. I just look at my data an make the decision about what function can ...


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It would be highly unreasonable to obtain the uncertainty of the average of the measurements to be greater than the uncertainty of any one measurement (√5/2 > 1). After all, what's the point in taking averages if it just makes your readings more uncertain? I believe the ETS people used the argument that the harmonic sum of the individual variances should ...



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