
Numerical Analysis
3rd Edition
ISBN: 9780134696454
Author: Sauer, Tim
Publisher: Pearson,
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Chapter 0.2, Problem 5E
To determine
The first 15 bits in the binary representation of
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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 0 Solutions
Numerical Analysis
Ch. 0.1 - Rewrite the following polynomials in nested form...Ch. 0.1 - Rewrite the following polynomials in nested form...Ch. 0.1 - Evaluate P(x)=x64x4+2x2+1 at x=1/2 by considering...Ch. 0.1 - Evaluate the nested polynomial with base points...Ch. 0.1 - Evaluate the nested polynomial with base points...Ch. 0.1 - Explain how to evaluate the polynomial for a given...Ch. 0.1 - How many additions and multiplications are...Ch. 0.1 - Use the function nest to evaluate P(x)=1+x+...+x50...Ch. 0.1 - Use nest.m to evaluate P(x)=1x+x2x3+...+x98x99 at...Ch. 0.2 - Find the binary representation of the base 10...
Ch. 0.2 - Find the binary representation of the base 10...Ch. 0.2 - Convert the following base 10 numbers to binary....Ch. 0.2 - Convert the following base 10 numbers to binary....Ch. 0.2 - Find the first bits in the binary representation...Ch. 0.2 - Find the first 15 bits in the binary...Ch. 0.2 - Convert the following binary numbers to base :...Ch. 0.2 - Convert the following binary numbers to base...Ch. 0.3 - Convert the following base 10 numbers to binary...Ch. 0.3 - Convert the following base 10 numbers to binary...Ch. 0.3 - For which positive integers k can the number 5+2k...Ch. 0.3 - Find the largest integer k for which in double...Ch. 0.3 - Do the following sums by hand in IEEE double...Ch. 0.3 - Do the following sums by hand in IEEE double...Ch. 0.3 - Prob. 7ECh. 0.3 - Is 1/3+2/3 exactly equal to I in double precision...Ch. 0.3 - Prob. 9ECh. 0.3 - Prob. 10ECh. 0.3 - Does the associative law hold for IEEE computer...Ch. 0.3 - Prob. 12ECh. 0.3 - Prob. 13ECh. 0.3 - Prob. 14ECh. 0.3 - Do the following operations by hand in IEEE double...Ch. 0.3 - Prob. 16ECh. 0.4 - Identify for which values of x there is...Ch. 0.4 - Find the roots of the equation x2+3x814=0 with...Ch. 0.4 - Explain how to most accurately compute the two...Ch. 0.4 - Evaluate the quantity xx2+17x2 where x=910 ,...Ch. 0.4 - Evaluate the quantity 16x4x24x2 where x=812 ,...Ch. 0.4 - Prove formula (0.14).Ch. 0.4 - Calculate the expressions that follow in double...Ch. 0.4 - Prob. 2CPCh. 0.4 - Prob. 3CPCh. 0.4 - Prob. 4CPCh. 0.4 - Prob. 5CPCh. 0.5 - Prob. 1ECh. 0.5 - Find c satisfying the Mean Value Theorem for f(x)...Ch. 0.5 - Find c satisfying the Mean Value Theorem for...Ch. 0.5 - Find the Taylor polynomial of degree 2 about the...Ch. 0.5 - Find the Taylor polynomial of degree 5 about the...Ch. 0.5 - a. Find the Taylor polynomial of degree 4 for ...Ch. 0.5 - Carry out Exercise 6 (a)-(d) for f(x)=lnx .Ch. 0.5 - (a) Find the degree 5 Taylor polynomial centered...Ch. 0.5 - Prob. 9E
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