MATH SOLVE

4 months ago

Q:
# 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. Here are data for beak heat loss, as a percent of total body heat loss, at various temperatures in degrees Celsius: Temperature 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Percent heat loss from beak 32 34 35 33 37 46 55 51 43 52 45 53 58 60 62 62 The equation of the least-squares regression line for predicting beak heat loss, as a percent of total body heat loss from all sources, from temperature is y=? + ? x (Use decimal notation. Give your answer to four decimal places.) 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. ? % What percent of the variation in beak heat loss is explained by the straight-line relationship with temperature? ? % Find the correlation ( 0.001) between beak heat loss and temperature: r=?

Accepted Solution

A:

Answer:Kindly check explanation Step-by-step explanation:Given the data:Temperature (degrees Celsius) : 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30Percent heat loss from beak : 35 36 38 28 41 43 55 46 39 54 45 58 60 56 62 67Using an online regression calculator ; the regression equation obtained is :ŷ = 2.0927X + 0.6029X = independent variable Y = predicted variable 2.0927 = slope 0.6029 = intercept B.) temperature = 25ŷ = 2.0927(25) + 0.6029= 52.9204C.) the explained variance is the value of the coefficient of determination (R²) which is the square of the correlation Coefficient 0.8785² = 0.7718D.) the correlation Coefficient r is 0.8785 using the Coefficient of regression calculator