Thursday, March 25, 2010

Regression Analysis of Experimental Results

The equations that best predict the # of revolutions travelled by the carriage for a given Tmax ( maximum value of the imposed harmonic torque) were generated by Regression Analysis of the experimental data (Thanks to my statistically significant other, otherwise known as the stats expert K.H.! Thank You!).

Based on this, the best fit lines were generated for each Tmax (1 A, 2 A, 4 A, 5A). The above graph was generated by plotting the best fit lines together and moving their Y intercept to Zero, in order to make the measurement of the relative angles between them easy to measure.

As you can see from the graphs, as the Tmax increased, the slope steadily went from positive to negative. This clearly highlights the fact that as the maximum torque increased, the number of revolutions came down.

Thus, it has been experimentally demonstrated with a very high degree of correlation that increasing the Tmax of the imposed harmonic torque decreases the number of actual revolutions of the carriage holding the spinning wheels.

The detailed results of the regression analysis are given below.

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