3. Taking a look at the presentation of a ID average, Se provides a nice of of t

Question

3. Taking a look at the presentation of a ID average, Se provides a nice of of the ways to increase reliability of an average. With N in the denominator, increasing sample size indeed improves se. With S in the numerator, this nicely confirms another intuitive Physics 181 UMass Boston method of increasing precision: if you want a more reliable R, then be more precise when finding x1, x2,..., and xN! (The standard errors of the 2D linear averages, Sslope and S behave the same way as intercepts the ID Se, but unfortupately those "uglier" formulae are not quite as revealing of this. There are many "common sense" methods of lowering the randomness reflected in Sr. Such as using more precise instruments like a micrometer over a ruler or a telescope over having fewer distractions in the lab, not drinking too much coffee if it makes your hands shake, wear your glasses if your vison is blurry, and so on. This experiment focuses on a particular strategy that might not be so "common sense." In certain situations, improving fractional error can also be used to increase your experimental precision. If the precision of a single measurement stays about the same, if you can measure something n times bigger, divide by n to get what you actually want, then this also effectively scales down your imprecision too. Another way to think of this is that an error which normally affects a single measurement, Sx, becomes spread out over all n of them after dividing, effectively reducing the standard error of what you actually want to Sx/m. This question explores this nature.

Explanation / Answer

Answer to part a)

For 10 continuous periods the error effect on single period would be 0.2/10 = 0.02

For 50 continuous periods the errror effect on single period would be = 0.2/50 = 0.004

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Answer to part b)

One way to increase precision is making the measurement hasslefree to ensure better focus.

Second way to increase precision is taking accurate readings upto minute correct details

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