The authors of the paper Flat-footedness is Not a Disadvantage for Athletic Performance in Children Aged 11

The authors of the paper €œFlat-footedness is Not a Disadvantage for Athletic Performance in Children Aged 11 to 15 Years€ (Pediatrics [2009]: e386€“e392) studied the relationship between y = arch height and scores on a number of different motor ability tests for 218 children. They reported the following correlation coefficients:

a. Interpret the value of the correlation coefficient between average hopping height and arch height. What does the fact that the correlation coefficient is negative say about the relationship? Do higher arch heights tend to be paired with higher or lower average hopping heights?
b. The title of the paper suggests that having a small value for arch height (flat-footedness) is not a disadvantage when it comes to motor skills. Do the given correlation coefficients support this conclusion? Explain.

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Correlation between Test Score and Arch Height -0.02 -0.10 -0.09 Motor Ability Test Height of counter movement junip Hopping: average height Hopping: average power Balance, closed eyes, 0.04 one leg Toe flexion 0.05