Bighof 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: 62°F Cloudy X y y = b= ŷ = 22 Ex= 15; Ey = 84.1; Ex2 = 55; Ey2 = 1,452.93; 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= 20 18 (b) Draw a scatter diagram for the data. Plot the least-squares line on your scatter diagram. y y 16 1 13.0 14 2 3 17.1 14.4 12 4 19.6 5 20.0 Q Search 22 20 18 16 14 12 144 · 99+ V AG 45 11:16 PM 2/26/2023
Bighof 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: 62°F Cloudy X y y = b= ŷ = 22 Ex= 15; Ey = 84.1; Ex2 = 55; Ey2 = 1,452.93; 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= 20 18 (b) Draw a scatter diagram for the data. Plot the least-squares line on your scatter diagram. y y 16 1 13.0 14 2 3 17.1 14.4 12 4 19.6 5 20.0 Q Search 22 20 18 16 14 12 144 · 99+ V AG 45 11:16 PM 2/26/2023
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 38HP
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Suppose that 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 13.0 17.1 14.4 19.6 20.0
n = 5, Σx = 15; Σy = 84.1;
Σx^2 = 55; Σy^2 = 1,452.93; Σxy = 268.8
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