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 5y 14 18.9 14.4 19.6 20.0 (a) Draw a scatter diagram. (3 points)(b) Find the equation of the least-squares line, and plot the line on the scatter diagram of part (a). (3 points)(c) Find the correlation coefficient r. Find the coefficient of determination . What percentage of variation in y is explained by the variation in x and the least squares model? (4 points)

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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:x 1 2 3 4 5y 14 18.9 14.4 19.6 20.0 (a) Draw a scatter diagram. (3 points)(b) Find the equation of the least-squares line, and plot the line on the scatter diagram of part (a). (3 points)(c) Find the correlation coefficient r. Find the coefficient of determination . What percentage of variation in y is explained by the variation in x and the least squares model? (4 points)

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