Introduction To Statistics And Data Analysis
6th Edition
ISBN: 9781337793612
Author: PECK, Roxy.
Publisher: Cengage Learning,
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Textbook Question
Chapter 5.4, Problem 55E
Use the information provided in the previous exercise to answer the following questions.
- a. Here are the values of x′ = log(x) and y′ = log(y):
Construct a
- b. Based on the accompanying MINITAB output, does the least-squares line effectively summarize the relationship between y′ and x′?
- c. Use the MINITAB output to predict moisture content when frying time is 35 sec.
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Suppose Wesley is a marine biologist who is interested in the relationship between the age and the size of male Dungeness crabs. Wesley collects data on 1,000 crabs and uses the data to develop the following least-squares regression line where ? is the age of the crab in months and ?̂ is the predicted value of ?, the size of the male crab in cm.
?̂=8.2052+0.5693?
What is the value of ?̂ when a male crab is 21.7865 months old? Provide your answer with precision to two decimal place
Suppose Wesley is a marine biologist who is interested in the relationship between the age and the size of male Dungeness crabs. Wesley collects data on 1,000 crabs and uses the data to develop the following least-squares regression line where ?X is the age of the crab in months and ?ˆY^ is the predicted value of ?Y, the size of the male crab in cm.
?ˆ=9.5603+0.3976?Y^=9.5603+0.3976X
What is the value of ?ˆY^ when a male crab is 24.9118 months old? Provide your answer with precision to two decimal places.
Y=
Suppose Wesley is a marine biologist who is interested in the relationship between the age and the size of male Dungeness crabs. Wesley collects data on 1,000 crabs and uses the data to develop the following least-squares regression line where ?X is the age of the crab in months and ?ˆY^ is the predicted value of ?Y, the size of the male crab in cm.
?ˆ=8.2052+0.5693?Y^=8.2052+0.5693X
What is the value of ?ˆY^ when a male crab is 21.7865 months old? Provide your answer with precision to two decimal places.
?ˆ=
Interpret the value of ?ˆ. The value of ?ˆ is
the predicted number of crabs out of the 1,000 crabs collected that will be 21.7865 months old.
the probability that a crab will be 21.7865 months old.
the predicted size of a crab when it is 21.7865 months old.
the predicted incremental increase in size for every increase in age by 21.7865 months.
Chapter 5 Solutions
Introduction To Statistics And Data Analysis
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