MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Chapter 7, Problem 23P
Write a user-defined function that determines if a number is a prime number. Name the function pr=Trueprime (m), where the input arguments m is a positive integer and the output argument pr is 1 if m is a prime number and 0 if m is not a prime number. Do not use MATLAWS built-in
(a) Use the function with 733, 2001, and 107.5.
(b) Write a MATLAB program in a script file that makes use of Trueprime and finds the smallest prime number that remains a prime number when added to its reverse (37 is the reverse of 73).
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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 7 Solutions
MATLAB: An Introduction with Applications
Ch. 7 - Prob. 1PCh. 7 - Prob. 2PCh. 7 - In the U.S. fuel efficiency of cars is specified...Ch. 7 - Pressure in U.S. customary units is measured in...Ch. 7 - Tables of material properties list density, in...Ch. 7 - Write a user-defined MATLAB function that converts...Ch. 7 - The body surface area (BSA) in m2 of a person...Ch. 7 - The fuel tank shown in the figure in shad as a...Ch. 7 - A paper cup is designed to have a geometry of a...Ch. 7 - The relative humidity, RH, at sea level can be...
Ch. 7 - Write a user-defined function that calculates...Ch. 7 - Write a user-defined MATLAB function that...Ch. 7 - Write a user-defined MATLAB function that...Ch. 7 - Write a user-defined MATLAB function that...Ch. 7 - Prob. 15PCh. 7 - The area of a triangle ABC can be calculated by:...Ch. 7 - As shown in the figure, the area of a convex...Ch. 7 - Write a user-defined function that determines the...Ch. 7 - Write a user-defined MATLAB function that converts...Ch. 7 - Write a user-defined function that plots a...Ch. 7 - Write a user-defined function that plots an...Ch. 7 - Prob. 22PCh. 7 - Write a user-defined function that determines if a...Ch. 7 - The harmonic mean H of a set of n positive numbers...Ch. 7 - Write a user-defined function that determines the...Ch. 7 - Write a user-defined function that determines the...Ch. 7 - Write a user-defined function that sorts the...Ch. 7 - Write a user-defined function that sorts the...Ch. 7 - Write a user-defined MATLAB function that finds...Ch. 7 - Write a user-defined MATLAB function that...Ch. 7 - The shortest distance between two points on the...Ch. 7 - Delta rosette is a set of three strain gages...Ch. 7 - In a lottery the player has to select several...Ch. 7 - 34. The Taylor series expansion for sin x about x...Ch. 7 - Write a user-defined function that determines the...Ch. 7 - The area moment of inertia Ixe of a rectangle...Ch. 7 - The simple RC high-pass filter shown in the figure...Ch. 7 - A circuit that filters out a certain frequency is...Ch. 7 - The first derivative df(x)dx a function f(x) at a...Ch. 7 - In lottery the player has to guess correctly r...
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