Partner (s) name: Brad Noorman

Section: 11

4. Excel Data Calculations

5. Kaleidagraph: Histograms and Statistics

5.5

The new histogram with a bin size of two looks different than the histogram with the bin size of five due to the histogram with size two being more specific and giving a different shape to the histogram due to, when looking at the histogram more precisely, having a drop in count at range 40 as well as ~47.5 that was not seen on the histogram with bin size of five.

6. Kaleidagraph: Scatter Plots and Fits

6.1

The scatter lot of mpg vs. time tells us about the structure in the histogram by result of the higher the concentration, the higher the bar level of each histogram bin.

7. Data Analysis

7.4

Typically the two estimates differ quantitatively between 85% and 1%, and the individual values vary from 75% to 140% about the main trend.

8 Summary Tables

Quantity

Mean

Standard Deviation

MPG Calculated

42.476

5.772

MPG Cosine Fit Residuals

0

4.7571

MPG Calculated / MPG Readout (%)

0.95314

0.08844

f(x) fits a b c true parabola parameters

40

-7.5

0.6

f(x) fit parameters

40

-7.5

0.6

Fuzzy f(x) fit parameters

40.083

-7.6036

0.60857

uncertainty of fuzzy fit parameters

0.58716

0.19289

0.01304

9. Questions

9.1

Changing the size of the bins changes the appearance of a graph and the conclusions you can draw from it.

9.2

The more specific values of concentrations changes the structure in the histogram with the smaller bins.

9.3

The parameter “errors” are about the size of the difference between the “fuzzed” parameters and the original one which is what you would typically expect.

10. Searching for Flaws

10.1

If the tires were under inflated you would expect a decrease in the miles per gallon of the car. Because speedometers are often off by 2-5 mph at 65 mph, a 3-8% error in the speedometer is very likely. Under-inflation would probably be