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: LAUSE SALT y x-15; Iy-88.3; D²-55; ²-1,594.89; Dy - 275.8 (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= 22 (b) Draw a scatter diagram for the data. Plot the least-squares line on your scatter diagram. 22 20 18 AZ 16 14 12 O 20 18 16 14 12 10 0 22 20 18 16 14 12 10 0° 1 1 14.4 19.6 20.0 2 2 3 3 4 4 5 20 18 16 14 12 10 0⁰ 1 1 2 3 5 6² (c) Find the sample correlation coefficient r and the coefficient of determination. (Round your answers to three decimal places.) 2- What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.)
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: LAUSE SALT y x-15; Iy-88.3; D²-55; ²-1,594.89; Dy - 275.8 (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= 22 (b) Draw a scatter diagram for the data. Plot the least-squares line on your scatter diagram. 22 20 18 AZ 16 14 12 O 20 18 16 14 12 10 0 22 20 18 16 14 12 10 0° 1 1 14.4 19.6 20.0 2 2 3 3 4 4 5 20 18 16 14 12 10 0⁰ 1 1 2 3 5 6² (c) Find the sample correlation coefficient r and the coefficient of determination. (Round your answers to three decimal places.) 2- What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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