- The Toco Toucan The Largest Member Of The Toucan Family Possesses The Largest Beak Relative To Body Size Of All Birds 1 (42.22 KiB) Viewed 107 times
- The Toco Toucan The Largest Member Of The Toucan Family Possesses The Largest Beak Relative To Body Size Of All Birds 2 (37.27 KiB) Viewed 107 times
y= ___________
(c) What percentage of the variation in beak heat loss isexplained by the straight‑line relationship with temperature? Giveyour answer to two decimal places.
explained variation: ____________
(d) Find the correlation 𝑟 between beak heat lossand temperature. Give your answer to three decimal places.
r= _________________
How do you know whether the sign of r is positive ornegative?
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 (°C) 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Percent heat loss from beak 33 33 33 31 37 44 56 52 45 54 46 55 57 56 60 62
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 x to represent the value of the temperature. ŷ = Incorrect 2.12x-0.90 Explain in specific language what the slope of this line says about the relationship between beak heat loss and temperature. For every degree Celsius, the toucan will lose about 2.1% more heat through its beak on average. For every degree Celsius, the toucan will lose about 0.9% more heat through its beak on average. For every degree Celsius, the toucan will lose about 0.9% less heat through its beak on average For every degree Celsius, the toucan will lose about 2.1% less heat through its beak on average Incorrect