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July 15, 2008

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Rod Coombs

Hypothesis 1: tall people are better than short people over the shorter distances. If this alone were true, the table would correlate to rank order in hieght.

Hypothesis 2: people who train more miles per week are relatively better at long races than thos who train less, but still better than them over short distances as well, but will threfore still be nearer the bottom of the table. If this alone were true the table would correlate to miles per week.

Hypothsies 3: Height and training miles per week are not inter-correlated, but are only randomly associated. Therefore both factors are present and the table is 'messy' and does not correlate easily with either height or training miles.

How to test this: a multiple linear regression of table position against height and and miles per week should show a weak coefficient for both variables and a modest 'R-squared' indicating some statistical significance.

Over to you Professor Ashcroft.

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