An introduction to statistical learning: with applications in R
13th Edition
ISBN: 9781461471387
Author: James, Gareth, Witten, Daniela, Hastie, Trevor, TIBSHIRANI, Robert
Publisher: MPS (CC)
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Chapter 4, Problem 9E
a.
Explanation of Solution
Fraction of people
- It can be written as
b.
Explanation of Solution
Fraction of people
- Here
- It implies
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b) Given the following statistics, what is the probability that a woman has cancer if she has a positive mammogram result?
-One percent of women over 50 have breast cancer.
-Ninety percent of women who have breast cancer test positive on mammograms.
-Eight percent of women will have false positives.
Question 4
A university received 1000 applications for the undergraduate program every semester. Of all applicants, 150 had a CGPA score above 3.70. 520 applicants had a CGPA score between 3.50 and 3.70. 100 applicants had a score between 3.00 and 3.50. All other applicants had a score lower than 3.00.
What probability will a randomly selected applicant have a score lower than 3.00?
If this semester, the total of students who get the CGPA score lower than 3.00 is 20% of the total student received, and the number of the other students who get CGPA above 3.50 is the same. Find the number of students who get CGPA between 3.00 and 3.50?
In logistic regression, the coefficients represent:
Question 20 options:
The average change in the odds ratio with a unit change in the predictor variable(s).
The average change in the predicted value of the outcome variable with a unit change in the predictor variable(s).
The average change in the log odds of the outcome occurring with a unit change in the predictor variable(s).
The average change in the probability of the outcome occurring with a unit change in the predictor variable(s).
Chapter 4 Solutions
An introduction to statistical learning: with applications in R
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