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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
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 16.0 20.5 14.4 19.6 20.0 Complete parts (a) through (c), given x = 15, y = 90.5, x2 = 55, y2 = 1667.77, and xy = 278.6. (a) Draw a scatter diagram for the data. (b) Find x, y, and b. (Round your answers to two decimal places.) x = y = b= Find the equation of the least-squares line. (Round your answers to two decimal places.) = + x Plot the least-squares line. (c) Find the sample correlation coefficient r and the coefficient of determination. (Round your answers to three decimal places.) r = r2 = What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.) %
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