01 Apr Mathematics
1 - Fitness data. Various measures of heart and pulse rate were taken on men in a physical fitness course at N.C. State Univ. The information provided has the following information:
· runpulse: Pulse rate while running
· maxpulse: Maximum pulse rate
· rstpulse: Resting pulse rate
· oxy: oxygen consumption
Write a report describing the relationships between the different variable. Produce scatter, boxplots, histograms charts. Find the correlations among the variables and the limitations.
2. – – In the following graphs, all of them have a correlation coefficient of about 0.72. Which one(s) meet the assumptions of some sort of association? Explain.
Data
| age | weight | oxy | runtime | rstpulse | runpulse | maxpulse |
| 44 | 89.47 | 44.609 | 11.37 | 62 | 178 | 182 |
| 40 | 75.07 | 45.313 | 10.07 | 62 | 185 | 185 |
| 44 | 85.84 | 54.297 | 8.65 | 45 | 156 | 168 |
| 42 | 68.15 | 59.571 | 8.17 | 40 | 166 | 172 |
| 38 | 89.02 | 49.874 | 9.22 | 55 | 178 | 180 |
| 47 | 77.45 | 44.811 | 11.63 | 58 | 176 | 176 |
| 40 | 75.98 | 45.681 | 11.95 | 70 | 176 | 180 |
| 43 | 81.19 | 49.091 | 10.85 | 64 | 162 | 170 |
| 44 | 81.42 | 39.442 | 13.08 | 63 | 174 | 176 |
| 38 | 81.87 | 60.055 | 8.63 | 48 | 170 | 186 |
| 44 | 73.03 | 50.541 | 10.13 | 45 | 168 | 168 |
| 45 | 87.66 | 37.388 | 14.03 | 56 | 186 | 192 |
| 45 | 66.45 | 44.754 | 11.12 | 51 | 176 | 176 |
| 47 | 79.15 | 47.273 | 10.6 | 47 | 162 | 164 |
| 54 | 83.12 | 51.855 | 10.33 | 50 | 166 | 170 |
| 49 | 81.42 | 49.156 | 8.95 | 44 | 180 | 185 |
| 51 | 69.63 | 40.836 | 10.95 | 57 | 168 | 172 |
| 51 | 77.91 | 46.672 | 10 | 48 | 162 | 168 |
| 48 | 91.63 | 46.774 | 10.25 | 48 | 162 | 164 |
| 49 | 73.37 | 50.388 | 10.08 | 67 | 168 | 168 |
| 57 | 73.37 | 39.407 | 12.63 | 58 | 174 | 176 |
| 54 | 79.38 | 46.08 | 11.17 | 62 | 156 | 165 |
| 52 | 76.32 | 45.441 | 9.63 | 48 | 164 | 166 |
| 50 | 70.87 | 54.625 | 8.92 | 48 | 146 | 155 |
| 51 | 67.25 | 45.118 | 11.08 | 48 | 172 | 172 |
| 54 | 91.63 | 39.203 | 12.88 | 44 | 168 | 172 |
| 51 | 73.71 | 45.79 | 10.47 | 59 | 186 | 188 |
| 57 | 59.08 | 50.545 | 9.93 | 49 | 148 | 155 |
| 49 | 76.32 | 48.673 | 9.4 | 56 | 186 | 188 |
| 48 | 61.24 | 47.92 | 11.5 | 52 | 170 | 176 |
| 52 | 82.78 | 47.467 | 10.5 | 53 | 170 | 172 |
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Correlation
Exercise #1 – 60% – Fitness data. Various measures of heart and pulse rate were taken on men in a physical fitness course at N.C. State Univ. The information provided has the following information:
· runpulse: Pulse rate while running
· maxpulse: Maximum pulse rate
· rstpulse: Resting pulse rate
· oxy: oxygen consumption
Write a report describing the relationships between the different variable. Produce scatter, boxplots, histograms charts. Find the correlations among the variables and the limitations.
Exercise #2. – 40% – In the following graphs, all of them have a correlation coefficient of about 0.72. Which one(s) meet the assumptions of some sort of association? Explain.
