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...

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	13.2	19.3	14.4	19.6	20.0

Σx
= 15; Σy
= 86.5; Σx
²
= 55; Σy
²
= 1,538.25; Σxy
= 273.4

(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

(b) Draw a scatter diagram for the data. Plot the least-squares line on your scatter diagram.

(c) Find the sample correlation coefficient
r
and the coefficient of determination
r
². (Round your answers to three decimal places.)

r =
r ² =

What percentage of variation in
y
is explained by the least-squares model? (Round your answer to one decimal place.)
%

Jun 04, 2022

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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...

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