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Coco is training for a triathlon and has been trying to decrease the length of time it takes her to run a mile. Over several
Coco is training for a triathlon and has been trying to decrease the length of time it takes her to run a mile. Over several weeks she carefully records the length of time it takes her to run a mile. The linear model is y = -.0165x + 8.7409, where x = number of trials and y = minutes to run a mile The interval of days was 1 x 67 trials and the range of heart rates fell within the interval 7.82 y 9.12 minutes. R2 = 0.7129 (58, 7.94) is a data point used in the study. Find the residual for this data point. Round to the nearest hundredth. Include the correct sign of the residual. Make note of how the residual is likely fairly large and positive since this model is underestimating the time to run a mile for higher number of trial runs. Slight differences in running times makes a big difference in races since runners place at different ranks with times that differ by fractions of a second. Thus, a time being off by 0.15 min = or 9 seconds, for example, is a lot of time by which to be off
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