Introduction to the Practice of Statistics
9th Edition
ISBN: 9781319013387
Author: David S. Moore, George P. McCabe, Bruce A. Craig
Publisher: W. H. Freeman
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Concept explainers
Question
Chapter 10, Problem 34E
To determine
To explain: The population regression model.
Expert Solution
Answer to Problem 34E
Solution: The regression model is
Explanation of Solution
According to the question, response is the Annual budget and explanatory variable is the number of students. The regression model which represents the linear relationship can be written as:
Where y represents the annual budget, x represents the number of students and
(a)
To determine
To explain: The fixed parameter of the model.
(a)
Expert Solution
Answer to Problem 34E
Solution: The fixed parameter is
Explanation of Solution
The intercept does not change with the change in explanatory variable. That is why it can be considered as the fixed parameter of the regression model.
(b)
To determine
To explain: The changing parameter of the model.
(b)
Expert Solution
Answer to Problem 34E
Solution: The required parameter is
Explanation of Solution
The slope tells the amount of change in annual budget when the number of students increases. That is why it can be considered as the changing parameter of the regression model.
To determine
To explain: Whether it is expected to be a number greater than 0 or less than 0.
Expert Solution
Answer to Problem 34E
Solution: Yes, it is greater than 0.
Explanation of Solution
The slope tells the amount of change in annual budget when the number of students increases. The number will be greater than zero.
(c)
To determine
To explain: The variation among schools of same size
(c)
Expert Solution
Answer to Problem 34E
Solution: The required term is
Explanation of Solution
The term ε is known as the error term of the model. The error term allows the unaccounted variations in the model when the explanatory variables are constant. That is why it represents the variation among schools of same size x .
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Chapter 10 Solutions
Introduction to the Practice of Statistics
Ch. 10.1 - Prob. 1UYKCh. 10.1 - Prob. 2UYKCh. 10.1 - Prob. 3UYKCh. 10.1 - Prob. 4UYKCh. 10.1 - Prob. 5UYKCh. 10.1 - Prob. 6UYKCh. 10.1 - Prob. 7ECh. 10.1 - Prob. 8ECh. 10.1 - Prob. 9ECh. 10.1 - Prob. 10E
Ch. 10.1 - Prob. 11ECh. 10.1 - Prob. 12ECh. 10.1 - Prob. 13ECh. 10.1 - Prob. 14ECh. 10.1 - Prob. 15ECh. 10.1 - Prob. 16ECh. 10.1 - Prob. 17ECh. 10.1 - Prob. 18ECh. 10.1 - Prob. 19ECh. 10.1 - Prob. 20ECh. 10.1 - Prob. 22ECh. 10.2 - Prob. 23UYKCh. 10.2 - Prob. 24UYKCh. 10.2 - Prob. 25ECh. 10.2 - Prob. 26ECh. 10.2 - Prob. 27ECh. 10.2 - Prob. 28ECh. 10.2 - Prob. 29ECh. 10.2 - Prob. 30ECh. 10.2 - Prob. 31ECh. 10.2 - Prob. 32ECh. 10.2 - Prob. 33ECh. 10 - Prob. 34ECh. 10 - Prob. 35ECh. 10 - Prob. 36ECh. 10 - Prob. 37ECh. 10 - Prob. 38ECh. 10 - Prob. 39ECh. 10 - Prob. 40ECh. 10 - Prob. 41ECh. 10 - Prob. 42ECh. 10 - Prob. 43ECh. 10 - Prob. 44ECh. 10 - Prob. 45ECh. 10 - Prob. 46ECh. 10 - Prob. 47ECh. 10 - Prob. 48ECh. 10 - Prob. 49ECh. 10 - Prob. 50ECh. 10 - Prob. 51ECh. 10 - Prob. 52ECh. 10 - Prob. 53ECh. 10 - Prob. 55ECh. 10 - Prob. 56ECh. 10 - Prob. 57ECh. 10 - Prob. 58ECh. 10 - Prob. 59ECh. 10 - Prob. 60ECh. 10 - Prob. 61ECh. 10 - Prob. 62ECh. 10 - Prob. 63ECh. 10 - Prob. 64ECh. 10 - Prob. 65ECh. 10 - Prob. 66ECh. 10 - Prob. 67E
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