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: 2 1 12.2 3 4 5 y 17.5 14.4 19.6 20.0 A USE SALT

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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 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:
3
4
5
y
12.2
17.5
14.4
19.6
20.0
A USE SALT
Ex = 15; Ey = 83.7; Ex² = 55; Ey² = 1,446.61; Exy = 268.8
(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 = 16.74
y = 1.77
b = 11.430
ý = 11.430
1.770
xxx >
Transcribed Image Text: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: 3 4 5 y 12.2 17.5 14.4 19.6 20.0 A USE SALT Ex = 15; Ey = 83.7; Ex² = 55; Ey² = 1,446.61; Exy = 268.8 (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 = 16.74 y = 1.77 b = 11.430 ý = 11.430 1.770 xxx >
(c) Find the sample correlation coefficient r and the coefficient of determination 2. (Round your answers to three decimal places.)
r =
What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.)
%
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Transcribed Image Text:(c) Find the sample correlation coefficient r and the coefficient of determination 2. (Round your answers to three decimal places.) r = What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.) % Need Help? Read It
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