The article Masters Performance in the New York City Marathon(British Journal of Sports Medicine [ 2004]: 408

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The article €œMaster€™s Performance in the New York City Marathon€(British Journal of Sports Medicine [ 2004]: 408€“ 412) gave the following data on the average finishing time by age group for female participants in the New York City Marathon.
The article €œMaster€™s Performance in the New York City Marathon€(British

a. Find the equation of the least squares regression line that describes the relationship between average finish time (y) and representative age (x).
b. Compute the six residuals and construct a residual plot. The authors of the paper decided to use a curve rather than a straight line to describe the relationship between average finish time and representative age. What aspect of the residual plot supports this decision?

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