MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Chapter 10, Problem 19P
The Verhulst model, given in the following equation, describes the growth of a population that is limited by various factors such as overcrowding and lack of resources:
where N(t) is the number of individuals in the population. N0is the initial population size, N8is the maximum population size possible due to the various limiting factors, and r is a rate constant. Make a surface plot of N(t) versus t and N assuming r = 0.1 s-l, and N0= 10. Let t vary between 0 and 100 and N8between 100 and 1,000.
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(c) Because logistic regression predicts probabilities of outcomes, observations used to build a logistic regression model need not be independent.
A. false: all observations must be independent
B. true
C. false: only observations with the same outcome need to be independent
I ANSWERED: A. false: all observations must be independent.
(This was marked wrong but I have no idea why. Isn't this a basic assumption of logistic regression)
Business discuss
Spam filters are built on principles similar to those used in logistic regression. We fit a probability that each message is spam or not spam. We have several variables for each email. Here are a few: to_multiple=1 if there are multiple recipients, winner=1 if the word 'winner' appears in the subject line, format=1 if the email is poorly formatted, re_subj=1 if "re" appears in the subject line. A logistic model was fit to a dataset with the following output:
Estimate
SE
Z
Pr(>|Z|)
(Intercept)
-0.8161
0.086
-9.4895
0
to_multiple
-2.5651
0.3052
-8.4047
0
winner
1.5801
0.3156
5.0067
0
format
-0.1528
0.1136
-1.3451
0.1786
re_subj
-2.8401
0.363
-7.824
0
(a) Write down the model using the coefficients from the model fit.log_odds(spam) = -0.8161 + -2.5651 + to_multiple + 1.5801 winner + -0.1528 format + -2.8401 re_subj(b) Suppose we have an observation where to_multiple=0, winner=1, format=0, and re_subj=0. What is the predicted probability that this message is spam?…
Chapter 10 Solutions
MATLAB: An Introduction with Applications
Ch. 10 - Prob. 1PCh. 10 - A staircase of height h is modeled by the...Ch. 10 - The ladder of a fire truck can be elevated...Ch. 10 - Prob. 4PCh. 10 - Prob. 5PCh. 10 - Prob. 6PCh. 10 - a 3-D mesh plot of the function z=cos2Re0.2R where...Ch. 10 - Prob. 8PCh. 10 - Prob. 9PCh. 10 - A monochromatic light that passes through a slit...
Ch. 10 - Molecules of a gas in a container are moving...Ch. 10 - Plank’s distribution law gives the black-body...Ch. 10 - Consider steady-state vibration of a friction-free...Ch. 10 - An RLC circuit with an alternating voltage source...Ch. 10 - In the solution of elasticity problem of a normal...Ch. 10 - A high-pass tiller passes signals with frequencies...Ch. 10 - The equation for the streamlines for uniform flow...Ch. 10 - 18. The deflection w of a clamped circular...Ch. 10 - The Verhulst model, given in the following...Ch. 10 - The geometry of a ship hull (Wigleyhull) can be...Ch. 10 - The stress fields near a crack tip of a linear...Ch. 10 - 22. A ball thrown up falls back to the floor and...
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