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Interpretation of simple predictions to odds ratios in logistic regression I'm somewhat new to using logistic regression, and a bit confused by a discrepancy between  my interpretations of the following values which I thought would be the same:    exponentiated beta values  predicted probability of the outcome using beta values.    Here is a simplified version of the model I am using, where undernutrition and insurance are both binary, and wealth is continuous:  Under.Nutrition ~ insurance + wealth   My (actual) model returns an exponentiated beta value of .8 for insurance, which I would interpret as:     "The probability of being undernourished for an insured individual is .8 times the probability of being undernourished for an uninsured individual."   However, when I calculate the difference in probabilities for individuals by putting in values of 0 and 1 into the insurance variable and the mean value for wealth, the difference in undernutrition is only .04. That is calculated as follows:   Probability Undernourished = exp(β0 + β1*Insurance + β2*Wealth) /                              (1+exp(β0 + β1*Insurance + β2*wealth))   I would really appreciate it if someone could explain why these values are different, and what a better interpretation (particularly for the second value) might be.     Further Clarification Edits As I understand it, the probability of being under-nourished for an uninsured person (where B1 corresponds to insurance) is:  Prob(Unins) = exp(β0 + β1*0 + β2*Wealth) /               (1+exp(β0 + β1*0+ β2*wealth))   While the Probability of being under-nourished for an insured person is:  Prob(Ins)= exp(β0 + β1*1 + β2*Wealth) /            (1+exp(β0 + β1*1+ β2*wealth))   The odds of being undernourished for an uninsured person compared to an insured person is:  exp(B1)   Is there a way to translate between these values (mathematically)? I'm still a bit confused by this equation (where I should probably be a different value on the RHS):  Prob(Ins) - Prob(Unins) != exp(B)   In layman's terms, the question is why doesn't insuring an individual change their probability of being under-nourished as much as the odds ratio indicates it does?  In my data, Prob(Ins) - Prob(Unins) = .04, where the exponentiated beta value is .8 (so why is the difference not .2?) Software center disappeared [19.10] I have had trouble with sound (now fixed) since upgrading to 19.10, and in the middle of trying the common solutions, the Software Center "disappeared". I got aware of quite late, so I don't know what caused it.  Anyway, would you know how to reinstall it ? Trying sudo apt-get install software-center doesn't work. Find all the numbers $n$ such that $\frac{4n-5}{60-12n}$ can't be reduced. C: pointer to struct in the struct definition Logarithmic y-axis and restrict y to domain fails I'm trying to plot data with a logarithmic y-axis and restricting the y-data to a specified domain, but compilation fails for a reason I don't understand. This is the code:  \documentclass{standalone} \usepackage{pgfplots} \begin{document}% \begin{tikzpicture} \begin{axis}[ymode=log, restrict y to domain=1:6] \addplot coordinates {(0, 1.1e1) (1, 1.7e3) (2, 0.0e0) (2, 3.4e7) (4, 8.1e5)}; \end{axis} \end{tikzpicture} \end{document}   Running it results in an error message:  ! Missing number, treated as zero. &lt;to be read again&gt;                     i l.6 ..., 1.7e3) (2, 0.0e0) (2, 3.4e7) (4, 8.1e5)};   According to the pgfplots manual for version 1.5.1 (29 December 2011), page 272 (about restrict x/y/z to domain), For logarithmic axes, min and max are logs of the respective values. If I disable either the logarithmic y-axis or the domain-restriction, the code runs successfully and output is as expected (but not as desired).  Software versions:   pdfTeX, Version 3.1415926-2.3-1.40.12 (TeX Live 2011) (format=pdflatex 2012.5.30) pgfplots 2011/12/29 v1.5.1 (git show 1.5.1-4-g53e640f )  tikz 2010/10/13 v2.10 (rcs-revision 1.76).   What's going on? What am I doing wrong? Or is this a bug? I have a list of requirements for a program, but I don't know what program meets these criteria. That's about general-purpose software, for example, not a programming IDE or statistical workbench, questions about which would certainly go to respective sites.  Is this question appropriate on Stack Overflow? Where should I ask about it? On Super User or elsewhere? What is the correct way to get a pgfkey value? Prove that $(p+q)^m \leq p^m+q^m$ If $p,q$ are positive quantities and $0 \leq m\leq 1$ then Prove that $$(p+q)^m \leq p^m+q^m$$    Trial: For $m=0$, $(p+q)^0=1 &lt; 2= p^0+q^0$  and for $m=1$, $(p+q)^1=p+q =p^1+q^1$.   So, For $m=0,1$ the inequality is true.How I show that the inequality is also true for $0 &lt; m &lt; 1$.   Please help. Is there any way of modifying the preamble, so instead of typing   $\mathtt{x}$ ... \begin{eqnarray}     \mathtt{y} &amp; \mathtt{=} &amp; \mathtt{z^\pi} \end{eqnarray}   I can omit the \mathtt{...} commands? A man wonders why perforations don't work. He decides nothing is the strongest thing in the universe. He exploits his finding. ‘It’ – ambiguous antecedent? Converse to Hilbert basis theorem Prove the converse to Hilbert basis theoren:     If the polynomial ring $R[x]$ is Noetherian, then $R$ is noetherian. How do I take great HDR photos of moving objects? By moving objects, I mean cities with cars, ocean with moving water, malls with people moving by.  I tried it on moving people and had noticeable ghosting, using bracketed shots at + and - 2ev.  What's the basic technique on getting sharp looking HDR photos in areas that are moving? I'm assuming it's not bracketed shots but a single shot with exposure editing? Trim string in JavaScript? How do I trim a string in JavaScript? That is, how do I remove all whitespace from the beginning and the end of the string in JavaScript? Cosmological constant doubts Is there a constraint that restricts my generic method to numeric types? Can anyone tell me if there is a way with generics to limit a generic type argument T to only:   Int16 Int32 Int64 UInt16 UInt32 UInt64   I'm aware of the where keyword, but can't find an interface for only these types,  Something like:  static bool IntegerFunction&lt;T&gt;(T value) where T : INumeric How do I design a user friendly survey with more than 150 questions? I am designing UI/UX for a survey webapp which has more than 150 questions. Right now they are using 5 radio buttons for each question. Similar to the image below:      So the question is, how to make it super user friendly, easy and fun to do?   Further I am looking for a solution from responsive web design perspective too.  I hate designing it like the following image below but what are some other options. Aliens abduct mathematician, astronomer, woman Bits I remember about this SF movie which probably originated in late 50s / early 60s:   Humans are flying in a light, general aviation, high winged, single engine aircraft. An alien in a flying saucer abducts the whole kit &amp; kaboodle (plane &amp; passengers). Takes them to a secret terrestrial base Eventually tells them that his computer is damaged and he needs their help to get back to his planet. He needs an astronomer for planetary masses &amp; other information. He needs a mathematician to calculate trajectories and perform other calculations. He needs the woman as eye candy, lol They eventually make it back to the alien home planet which is under attack by its enemy. The attacking aliens are bombarding the original alien's home planet with meteors / asteroids.   That's about all I remember. When to use \par and when \\, \newline, or blank lines What is the difference between \par, \newline, \\ and blank lines? When should I use which one? Explain $\iint \mathrm dx\,\mathrm dy = \iint r \,\mathrm \,d\alpha\,\mathrm dr$