Tuesday 10 March 2015

Turnout versus Travel Distance

Here is a scatter graph of our A walk turnout versus the travelling distance by road from Huddersfield Railway Station:


The graph also shows the straight line which gives the best fit to the data (using simple linear regression). For this line, the turnout is 31 for zero travelling distance, falling by 1 walker for about every 3 miles of additional travelling distance.

The travelling distance only explains a small part of the variability of the turnout. (This is reflected in the value of R2, see http://people.duke.edu/~rnau/rsquared.htm.)

The slope of the line is 0.321, and the best estimate of its standard deviation is 0.0597, The slope is 5.6 times the standard deviation, which tells us that its value is reasonably accurate. Nonetheless, our walkers' habits could change.

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