Question

1. Toucans have an abnormally large beak, possibly to assist in cooling off in warm temperatures. We are interested in investigating a relationship to see if the temperature (in degrees Celsius) can be used to predict the percent of Toucan's total heat loss that comes from the beak (in %). Information was collected on the temperature (in degrees Celsius), and the percent of Toucan's total heat loss that comes from the beak (in %).

a. Identify the explanatory variable

where y = temperature, x = percent of Toucan's total heat loss that comes from the beak, x = temperature

d. y = percent of Toucan's total heat loss that comes from the beak

b) Identify the response variable

Assume x̄ = 21.74, ȳ =46.73, s_x = 5.7642, s_y = 10.5443 and r = 0.9193. These values will not change throughout the question, but will be given in each part for ease of reference.

c) What percent of the variability in the percent of heat loss from the Toucan's beak is explained by temperature? Give your answer as a percent rounded to 2 decimal places.

Assume x̄ = 21.74, ȳ =46.73, s_x = 5.7642, s_y = 10.5443 and r = 0.9193.

d) What is the slope of the least squares regression line? Give your answer rounded to 4 decimal places.

Assume x̄ = 21.74, ȳ =46.73, s_x = 5.7642, s_y = 10.5443 and r = 0.9193.

e) What is the intercept of the least squares regression line? Give your answer rounded to 4 decimal places.

Answer 1