The toco toucan, the largest member of the toucan family,possesses the largest beak relative to body size of all birds. Thisexaggerated feature has received various interpretations, such asbeing a refined adaptation for feeding. However, the large surfacearea may also be an important mechanism for radiating heat (andhence cooling the bird) as outdoor temperature increases. Here aredata for beak heat loss, as a percent of total body heat loss fromall sources, at various temperatures in degrees Celsius. [Note: Thenumerical values in this problem have been modified for testingpurposes.]

Temperature (oC)(oC)	15	16	17	18	19	20	21	22	23	24	25	26	27	28	29	30
Percent heat loss from beak	34	32	33	29	38	46	58	50	46	53	44	51	57	58	59	58

The equation of the least-squares regression line for predictingbeak heat loss, as a percent of total body heat loss from allsources, from temperature is: (Use decimal notation. Enter thevalues of the intercept and slope rounded to two decimal places.Use the letter ? to represent the value of the temperature.)

y^=

Use the equation of the least?squares regression line to predictbeak heat loss, as a percent of total body heat loss from allsources, at a temperature of 2525 degrees Celsius. Enter youranswer rounded to two decimal places.

beak heat as a percent of total body heat loss=beak heat as apercent of total body heat loss= ?%

What percent of the variation in beak heat loss is explained bythe straight-line relationship with temperature? Enter your answerrounded to two decimal places.

percent of variation in beak heat loss explained by theequation=percent of variation in beak heat loss explained by theequation= ?%

Find the correlation ?r between beak heat loss and temperature.Enter your answer rounded to three decimal places.

?=