The toco toucan, Ramphastos toco, the largest member of the toucan family, posse
ID: 3331727 • Letter: T
Question
The toco toucan, Ramphastos toco, 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. Here are data for beak heat loss, as a percent of total body heat loss, 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. Figure 4.9 shows Minitab regression output for these data
The toco toucan, Ramphastos toco, 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. Here are data for beak heat loss, as a percent of total body heat loss, 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. Figure 4.9 shows Minitab regression output for these data.
Step 1:
What is the equation of the least-squares regression line for predicting beak heat loss, as a percent of total body heat loss, from temperature? Round your answers to 3 decimal places.
yˆy^ = __Answer 1__ + __Answer 2__x.
Use the equation to predict beak heat loss, as a percent of total body heat loss from all sources, at a temperature of 25 degrees Celsius.
yˆy^ = __Answer 3__. Round your answer to 4 decimal places.
Answer 1
Answer 2
Answer 3
Step 2:
The percent of the variation in beak heat loss is explained by the straight-line relationship with temperature is ______%. Round your answer to one decimal place.
Step 3:
Using the information in Figure 4.9, the correlation r between beak heat loss and temperature is ______. Round your answer to 3 decimal places.
The toco toucan, Ramphastos toco, 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. Here are data for beak heat loss, as a percent of total body heat loss, 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. Figure 4.9 shows Minitab regression output for these data.
Step 1:
What is the equation of the least-squares regression line for predicting beak heat loss, as a percent of total body heat loss, from temperature? Round your answers to 3 decimal places.
yˆy^ = __Answer 1__ + __Answer 2__x.
Use the equation to predict beak heat loss, as a percent of total body heat loss from all sources, at a temperature of 25 degrees Celsius.
yˆy^ = __Answer 3__. Round your answer to 4 decimal places.
Answer 1
Answer 2
Answer 3
Step 2:
The percent of the variation in beak heat loss is explained by the straight-line relationship with temperature is ______%. Round your answer to one decimal place.
Step 3:
Using the information in Figure 4.9, the correlation r between beak heat loss and temperature is ______. Round your answer to 3 decimal places.
Explanation / Answer
Based on the output, the regression equation is,
y = 0.919 + 2.065 Temperature
For temperature = 25 degree
y = 0.919 + 2.065 * 25 = 52.5440
So,
Answer 1 is 0.919
Answer 2 is 2.065
Answer 3 is 52.5440
The percent of the variation in beak heat loss is explained by the straight-line relationship with temperature is 83.6% (R-sq value)
The correlation r between beak heat loss and temperature is square root of R-sq.
So, correlation r between beak heat loss and temperature is sqrt(0.836) = 0.914
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.