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A paper suggests that the simple linear regression model is reasonable for describing the relationship between y = eggshell thickness (in micrometers, μm) and x = egg length (mm) for quail eggs. Suppose that the population regression line is y= 0.145 + 0.003x and that o = 0.005. Then, for a fixed x value, y has a normal distribution with mean 0.145 + 0.003x and standard deviation 0.005. (You may need to use table.) USE SALT (a) What is the mean eggshell thickness for quail eggs that are 15 mm in length? 0.19 ✓um What is the mean eggshell thickness for quail eggs that are 17 mm in length? 0.196 ✓ μm (b) What is the probability that a quail egg with a length of 15 mm will have a shell thickness that is greater than 0.19 μm? 100 X (c) Approximately what proportion of quail eggs of length 14 mm have a shell thickness of greater than 0.184? (Hint: The distribution of y at a fixed x is approximately normal. Round your answer to four decimal places.) 0.226 X Approximately what proportion of quail eggs of length 14 mm have shell thickness of less than 0.188? (Round your answer to four decimal places.) X 0.23

A paper suggests that the simple linear regression model is reasonable for describing the relationship between y = eggshell thickness (in micrometers, μm) and x = egg length (mm) for quail eggs. Suppose that the population regression line is y= 0.145 + 0.003x and that o = 0.005. Then, for a fixed x value, y has a normal distribution with mean 0.145 + 0.003x and standard deviation 0.005. (You may need to use table.) USE SALT (a) What is the mean eggshell thickness for quail eggs that are 15 mm in length? 0.19 ✓um What is the mean eggshell thickness for quail eggs that are 17 mm in length? 0.196 ✓ μm (b) What is the probability that a quail egg with a length of 15 mm will have a shell thickness that is greater than 0.19 μm? 100 X (c) Approximately what proportion of quail eggs of length 14 mm have a shell thickness of greater than 0.184? (Hint: The distribution of y at a fixed x is approximately normal. Round your answer to four decimal places.) 0.226 X Approximately what proportion of quail eggs of length 14 mm have shell thickness of less than 0.188? (Round your answer to four decimal places.) X 0.23

MATLAB: An Introduction with Applications
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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A paper suggests that the simple linear regression model is reasonable for describing the relationship between y = eggshell thickness (in micrometers, μm) and x = egg length (mm) for quail eggs. Suppose that the population regression line is y = 0.145 +0.003x and that = 0.005. Then, for a fixed x value, y has a normal distribution with mean 0.145 +0.003x and standard deviation 0.005. (You may need to use a table.) e USE SALT (a) What is the mean eggshell thickness for quail eggs that are 15 mm in length? 0.19 μm What is the mean eggshell thickness for quail eggs that are 17 mm in length? 0.196 μm (b) What is the probability that a quail egg with a length of 15 mm will have a shell thickness that is greater than 0.19 μm? 100 X (c) Approximately what proportion of quail eggs of length 14 mm have a shell thickness of greater than 0.184? (Hint: The distribution of y at a fixed x is approximately normal. Round your answer to four decimal places.) 0.226 X o Approximately what proportion of quail eggs of length 14 mm have a shell thickness of less than 0.188? (Round your answer to four decimal places.) X 0.23 Submit Answer M Dec 9 4:11
Transcribed Image Text:A paper suggests that the simple linear regression model is reasonable for describing the relationship between y = eggshell thickness (in micrometers, μm) and x = egg length (mm) for quail eggs. Suppose that the population regression line is y = 0.145 +0.003x and that = 0.005. Then, for a fixed x value, y has a normal distribution with mean 0.145 +0.003x and standard deviation 0.005. (You may need to use a table.) e USE SALT (a) What is the mean eggshell thickness for quail eggs that are 15 mm in length? 0.19 μm What is the mean eggshell thickness for quail eggs that are 17 mm in length? 0.196 μm (b) What is the probability that a quail egg with a length of 15 mm will have a shell thickness that is greater than 0.19 μm? 100 X (c) Approximately what proportion of quail eggs of length 14 mm have a shell thickness of greater than 0.184? (Hint: The distribution of y at a fixed x is approximately normal. Round your answer to four decimal places.) 0.226 X o Approximately what proportion of quail eggs of length 14 mm have a shell thickness of less than 0.188? (Round your answer to four decimal places.) X 0.23 Submit Answer M Dec 9 4:11
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