[Steps Shown] A good source for examples of paired data and the study of correlation is the field of medicine. Medical researchers often seek to find relationships
Question: A good source for examples of paired data and the study of correlation is the field of medicine. Medical researchers often seek to find relationships between two observed and measurable characteristics of a set of patients. The site maintained by The Journal of Statistics Education contains a data archive that stores an interesting variety of data sets including some medical data. In particular, there is a data set consisting of the heart rates (y) and body temperatures (x) for a group of people. I have put this data into a spreadsheet for you.
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Compute the correlation coefficient between heart rate and body temperature using men only, and men and women (these are two separate calculations). Are the two quantities highly correlated?
- Determine the line of best fit for the heart rate-body temperature data using temperature as the independent variable (for men AND women). Next determine the linear best fit using only the data corresponding to male subjects only. Use both linear formulas to predict the heart rate of a male with a body temperature of 98º F. Which prediction do you think is better? Why?
| Men | |
| x | y |
| 96.3 | 70 |
| 96.7 | 71 |
| 96.9 | 74 |
| 97 | 80 |
| 97.1 | 73 |
| 97.1 | 75 |
| 97.1 | 82 |
| 97.2 | 64 |
| 97.3 | 69 |
| 97.4 | 70 |
| 97.4 | 68 |
| 97.4 | 72 |
| 97.4 | 78 |
| 97.5 | 70 |
| 97.5 | 75 |
| 97.6 | 74 |
| 97.6 | 69 |
| 97.6 | 73 |
| 97.7 | 77 |
| 97.8 | 58 |
| 97.8 | 73 |
| 97.8 | 65 |
| 97.8 | 74 |
| 97.9 | 76 |
| 97.9 | 72 |
| 98 | 78 |
| 98 | 71 |
| 98 | 74 |
| 98 | 67 |
| 98 | 64 |
| 98 | 78 |
| 98.1 | 73 |
| 98.1 | 67 |
| 98.2 | 66 |
| 98.2 | 64 |
| 98.2 | 71 |
| 98.2 | 72 |
| 98.3 | 86 |
| 98.3 | 72 |
| 98.4 | 68 |
| 98.4 | 70 |
| 98.4 | 82 |
| 98.4 | 84 |
| 98.5 | 68 |
| 98.5 | 71 |
| 98.6 | 77 |
| 98.6 | 78 |
| 98.6 | 83 |
| 98.6 | 66 |
| 98.6 | 70 |
| 98.6 | 82 |
| 98.7 | 73 |
| 98.7 | 78 |
| 98.8 | 78 |
| 98.8 | 81 |
| 98.8 | 78 |
| 98.9 | 80 |
| 99 | 75 |
| 99 | 79 |
| 99 | 81 |
| 99.1 | 71 |
| 99.2 | 83 |
| 99.3 | 63 |
| 99.4 | 70 |
| 99.5 | 75 |
| Men & Women | |
| x | y |
| 96.3 | 70 |
| 96.7 | 71 |
| 96.9 | 74 |
| 97 | 80 |
| 97.1 | 73 |
| 97.1 | 75 |
| 97.1 | 82 |
| 97.2 | 64 |
| 97.3 | 69 |
| 97.4 | 70 |
| 97.4 | 68 |
| 97.4 | 72 |
| 97.4 | 78 |
| 97.5 | 70 |
| 97.5 | 75 |
| 97.6 | 74 |
| 97.6 | 69 |
| 97.6 | 73 |
| 97.7 | 77 |
| 97.8 | 58 |
| 97.8 | 73 |
| 97.8 | 65 |
| 97.8 | 74 |
| 97.9 | 76 |
| 97.9 | 72 |
| 98 | 78 |
| 98 | 71 |
| 98 | 74 |
| 98 | 67 |
| 98 | 64 |
| 98 | 78 |
| 98.1 | 73 |
| 98.1 | 67 |
| 98.2 | 66 |
| 98.2 | 64 |
| 98.2 | 71 |
| 98.2 | 72 |
| 98.3 | 86 |
| 98.3 | 72 |
| 98.4 | 68 |
| 98.4 | 70 |
| 98.4 | 82 |
| 98.4 | 84 |
| 98.5 | 68 |
| 98.5 | 71 |
| 98.6 | 77 |
| 98.6 | 78 |
| 98.6 | 83 |
| 98.6 | 66 |
| 98.6 | 70 |
| 98.6 | 82 |
| 98.7 | 73 |
| 98.7 | 78 |
| 98.8 | 78 |
| 98.8 | 81 |
| 98.8 | 78 |
| 98.9 | 80 |
| 99 | 75 |
| 99 | 79 |
| 99 | 81 |
| 99.1 | 71 |
| 99.2 | 83 |
| 99.3 | 63 |
| 99.4 | 70 |
| 99.5 | 75 |
| 96.4 | 69 |
| 96.7 | 62 |
| 96.8 | 75 |
| 97.2 | 66 |
| 97.2 | 68 |
| 97.4 | 57 |
| 97.6 | 61 |
| 97.7 | 84 |
| 97.7 | 61 |
| 97.8 | 77 |
| 97.8 | 62 |
| 97.8 | 71 |
| 97.9 | 68 |
| 97.9 | 69 |
| 97.9 | 79 |
| 98 | 76 |
| 98 | 87 |
| 98 | 78 |
| 98 | 73 |
| 98 | 89 |
| 98.1 | 81 |
| 98.2 | 73 |
| 98.2 | 64 |
| 98.2 | 65 |
| 98.2 | 73 |
| 98.2 | 69 |
| 98.2 | 57 |
| 98.3 | 79 |
| 98.3 | 78 |
| 98.3 | 80 |
| 98.4 | 79 |
| 98.4 | 81 |
| 98.4 | 73 |
| 98.4 | 74 |
| 98.4 | 84 |
| 98.5 | 83 |
| 98.6 | 82 |
| 98.6 | 85 |
| 98.6 | 86 |
| 98.6 | 77 |
| 98.7 | 72 |
| 98.7 | 79 |
| 98.7 | 59 |
| 98.7 | 64 |
| 98.7 | 65 |
| 98.7 | 82 |
| 98.8 | 64 |
| 98.8 | 70 |
| 98.8 | 83 |
| 98.8 | 89 |
| 98.8 | 69 |
| 98.8 | 73 |
| 98.8 | 84 |
| 98.9 | 76 |
| 99 | 79 |
| 99 | 81 |
| 99.1 | 80 |
| 99.1 | 74 |
| 99.2 | 77 |
| 99.2 | 66 |
| 99.3 | 68 |
| 99.4 | 77 |
| 99.9 | 79 |
| 100 | 78 |
| 100.8 | 77 |
Deliverable: Word Document 