The toco toucan, the largest member of the toucan family, possesses the largest beak relative to body size of all birds. This exaggerated feature has received various interpretations, such as being a refined adaptation for feeding. However, the large surface area may also be an important mechanism for radiating heat (and hence cooling the bird) as outdoor temperature increases. The table contains data for beak heat loss, as a percentage of total body heat loss from all sources, at various temperatures in degrees Celsius. The data show that beak heat loss is higher at higher temperatures and that the relationship is roughly linear. [Note: The numerical values in this problem have been modified for testing purposes.] Temperature (oC)(oC) Percent heat loss from b
The toco toucan, the largest member of the toucan family, possesses the largest beak relative to body size of all birds. This exaggerated feature has received various interpretations, such as being a refined adaptation for feeding. However, the large surface area may also be an important mechanism for radiating heat (and hence cooling the bird) as outdoor temperature increases. The table contains data for beak heat loss, as a percentage of total body heat loss from all sources, at various temperatures in degrees Celsius. The data show that beak heat loss is higher at higher temperatures and that the relationship is roughly linear. [Note: The numerical values in this problem have been modified for testing purposes.]
| Temperature (oC)(oC) | Percent heat loss from beak |
|---|---|
| 1515 | 3434 |
| 1616 | 3535 |
| 1717 | 3333 |
| 1818 | 3333 |
| 1919 | 3535 |
| 2020 | 4848 |
| 2121 | 5454 |
| 2222 | 5252 |
| 2323 | 4545 |
| 2424 | 5050 |
| 2525 | 4444 |
| 2626 | 5454 |
| 2727 | 5959 |
| 2828 | 6262 |
| 2929 | 6464 |
| 3030 | 6161 |
What is the equation of the least-squares regression line for predicting beak heat loss, as a percentage of total body heat loss from all sources, from temperature? Use decimal notation. Give the values of the intercept and slope to three decimal places. Use the letter ?� to represent the value of the temperature.
Use the equation of the least‑squares regression line to predict beak heat loss, as a percentage of total body heat loss from all sources, at a temperature of 25∘C.25∘C. Give your answer to one decimal place.
What percentage of the variation in beak heat loss is explained by the straight‑line relationship with temperature? Give your answer to two decimal places.
Find the
How do you know whether the sign of ?� is positive or negative?
Explain in specific language what the slope of this line says about the relationship between beak h
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