Assignment:
To investigate whether subcutaneous fat provides insulation in humans, researchers have measured the rate of heat loss by boys running for up to 30 min at 20.3 °C and expending energy at about 4.8 kcal/min. Heat loss was measured by the change in body temperature, recorded using a thermometer under the tongue, divided by the time spent running, in minutes. A measurement of an index of body "leanness" on each boy as the reciprocal of the skin-fold thickness adjusted for total skin surface area (in meters squared) and body mass (in kg). The data are shown below :
Q1. What are the independent (x) and dependent variables (y)?
Q2. Develop a scatter diagram and a regression line for this data.
Q3. Find the regression equation(s) that best predicts how the rate of heat loss is related to body leanness. You are expected to use judgment on deciding what "best" means.
Q4. What will be the expected heat lost rate for a boy with 15 m2/kg body leanness?
| body leannes (m^2/kg ) |
heat loss rate (°C/min ) |
| 1.7 |
0.002 |
| 2.1 |
0.010 |
| 2.1 |
0.006 |
| 2.4 |
0.031 |
| 2.8 |
0.041 |
| 3.3 |
0.024 |
| 3.6 |
0.014 |
| 4.4 |
0.071 |
| 5.0 |
0.091 |
| 6.2 |
0.090 |
| 7.0 |
0.103 |
| 7.0 |
0.097 |