Minitab Regression Example
A sports team is interested in better understanding the impact that the maximum volume of oxygen an athlete can intake has on their performance. To study this, twenty athletes on a team had measurements taken on the amount they are able to intake and the amount of time (in minutes) it takes for them to complete a 2-mile run. Using the data in the .xls file ATHLETIC PERFORMANCE, build a simple linear regression model using Oxygen Uptake as the predictor Variable and Time as the response variable. Use the results to describe the relationship between these two variables.
Examples of some questions to address are:
Describe the Expected Time as a function of Oxygen Uptake, How much of the variation in Time between the 20 athletes is your model with Oxygen Uptake able to account for/explain?, What is your prediction of an athlete's completion time of a 2-mile run if they had an Oxygen Uptake of 40, 50, and 60?
Which of these predictions do you feel is most/least precise? Do any of the athletes stand out as a bit unique from the others? Any ideas for further analysis to better understand what variable/factors impact an athletes speed, and thus expand the models?
Hint: the Easiest way to perform a Simple Linear regression Analysis in Minitab is through stat > Regression > Fitted Plot
| Athlete | Oxygen Uptake | Time |
| JB | 42 | 15.3 |
| TW | 50 | 13.4 |
| AQ | 44 | 15.0 |
| NJ | 53 | 16.3 |
| EH | 42 | 16.1 |
| PV | 43 | 15.2 |
| SD | 47 | 13.0 |
| JE | 42 | 12.4 |
| JP | 38 | 16.9 |
| ES | 50 | 13.4 |
| PJ | 39 | 15.2 |
| JT | 51 | 13.4 |
| WJ | 42 | 15.3 |
| BC | 43 | 13.7 |
| MP | 48 | 14.2 |
| KR | 43 | 14.3 |
| LY | 52 | 12.7 |
| VS | 54 | 11.9 |
| GJ | 58 | 12.3 |
| KO | 50 | 14.1 |
The data for the problem is listed above.
For further assistance on how to run regression analysis in Minitab, you can seek free statistics help on statistics answered.
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