Question

Bighorn sheep are beautiful wild animals found throughout the western United States. Let x be the age of a bighorn sheep (in years), and let y be the mortality rate (percent that die) for this age group. For example, x = 1, y = 14 means that 14% of the bighorn sheep between 1 and 2 years old died. A random sample of Arizona bighorn sheep gave the following information:

x	1	2	3	4	5
y	15.4	19.3	14.4	19.6	20.0

Σx = 15; Σy = 88.7; Σx² = 55; Σy² = 1,601.17; Σxy = 275.6

(a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your least-squares estimates to three decimal places.)

x	=
y	=
b	=
ŷ	=	+  x

(c) Find the sample correlation coefficient r and the coefficient of determination r². (Round your answers to three decimal places.)

Answer 1