(Solution Library) Is the maximum oxygen uptake, a measure often used by physiologists to indicate an individual’s state of cardiovascular fitness, related to
Question: Is the maximum oxygen uptake, a measure often used by physiologists to indicate an individual’s state of cardiovascular fitness, related to the performance of distance runners? Six long-distance runners submitted to treadmill tests for determination of their maximum oxygen uptake. Their results, along with each athletes best mile time (in seconds), are shown in the table.
| Maximum Oxygen uptake, X | Mile Time, Y |
| 63.3 | 241.5 |
| 60.1 | 249.8 |
| 53.6 | 246.1 |
| 58.8 | 232.4 |
| 67.5 | 237.2 |
| 62.5 | 238.4 |
- From this data, test the hypothesis that the variables ‘Maximum oxygen uptake’ and ‘Mile Time’ are correlated. (5 points)
- Construct a scatter plot of these two variables with a line of best fit (3 points)
- If we consider ‘Maximum oxygen uptake ‘as the explanatory variable, and ‘Mile time’ as the response variable, develop the linear regression equation. (3 points)
- What is the predicted mile time of an individual who possesses a Maximum oxygen uptake of 70 mm/kg? (2points)
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