In the simple linear regression model, $\hat{b}$ is the sum of independent normally distributed random variables .   Is it false because it talks about $\hat{b}$ and not $b$? because in the simple regression model the equation is $y=a+bx+e$ and not $y=\hat{b}x+a$
In the simple linear regression model, $\hat{\beta}$ is the sum of independent normally distributed random variables.  Is it false because in linear regression there is $\beta$ and not $\hat{\beta}$?
I am not sure if  works. Can someone please help me? My phone is new and in its warranty period so I can't root it yet. I tried this app but I am not sure if it actually did something. Unlike the other famous app on the PlayStore for fstrim, it doesn't require root access which is quite incredible. Can the Universe be deterministic and still allow free will? Possible Duplicate:             As asked in the title, can a Universe which is deterministic at its fundamental level still allow free will? Motion tracked Video doesn't show up in the render or in the compositing tab I tried to add a 3D object to a clip by following a youtube video. But clip doesn't show up in the render or in the compositing tab. It show up even in the camera view. I didn't change any settings. please help. Thank you.    And the  rendered images has only the cube in it like in the picture above. If a lightning-radio-group has two options, and a user selects one, I want to programmatically have the UI changed back to the other one.  Link to a . (code copied below)  import { LightningElement, track } from 'lwc';  export default class RadioGroupRequired extends LightningElement {     @track value = 'option1';      get options() {         return [             { label: 'Option one', value: 'option1' },             { label: 'Option two', value: 'option2' },         ];     }      handleOnChange(evt) {         this.value = 'option1';         // how to make the UI select Option one?     } }   And the html:  &lt;template&gt;     &lt;lightning-radio-group name="radioGroup"                            label="Radio Group"                            options={options}                            value={value}                            required                            type="button"                            onchange={handleOnChange}&gt;&lt;/lightning-radio-group&gt;                             value={value} &lt;/template&gt;     I think that there is no rerendering because the bind variable, {value} doesn't actually change. However, the selected state of the lightning-radio-group does, and I want to be able to change it back. How can that be achieved?   I did not notice any methods or attributes that would seem to do the trick in the . have lived vs have been living Is it correct to say:     1) I've lived in London for five years.   Or      2) I've been living in London for five years.   I think second one is correct because we use present perfect continuous for actions started in past and is continuing in present. SINGLE_EMAIL_LIMIT_EXCEEDED. What does it mean? Will getting a Software Testing Certification benefit me in my career? I have 2 years of experience in manual testing, and I am currently learning automation testing in my spare time. I was thinking that will getting a foundation/entry testing certification really help me in promotions and increase my salary or just increase my knowledge and nothing more? Even if I wish to try to get certified and pass the exams, is it too late or can I try after a few more years?  Kindly suggest! Redefining "cited on" string (and others) in biblatex Yes, I'm really sure I want to delete that post I am preparing a paper in the field of Computer Science.  In order to report test results, we usually run a number of tests and report the average of those tests.  For each test, we generate random data.  Because of the randomness, at some points, the results may come out not as expected.  For instance, a graph may be like:   Usually, one should explain why on points 8, 11 and 12 there is a decrease on the plot. Probably, it is because of that randomness.  Not hand-crafting all the graph, but just manipulating a few points makes the graph acceptable:   Since three weeks or so, I work my ass off and try to figure out why my resulting graph looks like the first one. Sometimes I feel like yielding to temptation and just modify the raw data before I go crazy.  I believe, at this point the title became misleading, so let me make it clear:  I am not seeking an advice on data manipulation. I will not manipulate my data. However, I ask to myself "how the hell this can be detected?"  And now, I don't only ask to myself, but to whole community. How is this detected? For editors, referees out there, have you ever detected something like this? Ideals in the ring of Gaussian integers What are the proper ideals, prime ideals, maximal ideals of $\mathbb{Z}[i]$, the ring of Gaussian integers.    Check whether $(1+i)$ is prime or maximal ideal.     Can someone help me please. I have no idea how to crack this problem. Thanks for your time. Can I move the Unity launcher? Script to determine if files are Images I would like to create a shell script that will check to make sure all files in a directory are image files.  We recently had an issue where a hacker was able to generate a file in a directory and mask it as a .jpg file. I would like to create a shell script to check all files in the directory to make sure they are real jpg, gif or png files. Creating Digital Terrain Model from Digital Elevation Model using ArcGIS for Desktop? I have a DEM and I want to create a DTM from that DEM. Is it possible to do this in ArcGIS? Any nice, stable ways to keep a window 'Always on top' on the Mac? I am looking for a stable way to keep any window 'always on top' on OSX.  , an app that does that requires SIMBL/easySIMBL, which it seems is not very stable.  Are there any better solutions? It's actually surprising that there is no native way to implement this. Prove by induction. How do I prove $\sum\limits_{i=0}^n2^i=2^{n+1}-1$ with induction? When does $120$ divide $n^5 - n$ Find n such that $n^5 - n$ is divisible by $120$. (*Here $n$ belongs to the natural number set)  Seems a trivial problem, but the answer mentioned in the text book seemed incomplete to me so I'm here just to ensure whether approach to this problem is correct or not.  So my approach is as follows: We know that $n^5 - n$ can be written as $n^5-n = n(n-1)(n+1)(n^2 + 1)$  Now since it's product of three consecutive natural numbers so it's divisible by $3! = 6$. Now using Fermat's Little theorem we can prove that $n^5= n \mod5$ hence $n^5 - n$ is divisible by $5$ as well. So $n^5 - n$ is divisible by $30$. Now to ensure their is another factor of $4$ in the term we need to ensure that $n^5 - n$ is divisible by $8$. I found that all odd natural numbers and multiples of $8$ makes $n^5 - n$ divisible by $8$, hence $n^5 - n$ is divisible by $120$. But in the text book they have only mentioned odd natural numbers as answer, which seemed incomplete to me.  Thanking everyone in advance:P How to align prices in columns when both 2 digit and 4 digit variations of a price exist? I am trying to display data similar to coinmarketcap with prices for coins, some above 1$ in which case they are rounded to 2 zeroes, some below 1$ in which case they have 4 digits following the decimal. I saw a bunch of posts here where people have suggested to use right alignment for numeric applications/prices  Approach 1 Decimal aligned   1. $13,700.05  2.      $0.0048   Approach 2 Right aligned   1. $13700.05  2.   $0.0048   Which of these approaches do you suggest? Thank you for your time How to show that every Boolean ring is commutative? I have multiple datasets that I am attempting to use principal component analysis (PCA) on in order to infer the underlying structure of the data.  I'm attempting to predict growth increment of conifers (the response which apparently needed to be cube root transformed for my original linear models).  My predictor variables include: continuous (some log-transformed like size-related variables, some compositional, and some traditionally scaled); binary; ordinal; and nominal (of which I'm pretty sure I can order with respect to site productivity).  I'm mostly attempting to make inferences because some of my previous models from linear regression have not produced significant terms corresponding to categories like health or climate and I feel that they should have.  I've read in Joliffe (2002) that I might want to leave my compositional data uncentered.  Forgive my naiveté, but I'm wondering if I should also do this for my binary data.  It also seems that I might not want to scale these since they're already on a 0 - 1 scale but I'm not sure.  After only using my continuous predictors (including compositional variables), it appears that a size principal component makes up the largest portion of the variability and Joliffe also mentions that one might want to attempt a "double-centering" of the log-transformed data if this is the case.  I don't know if this is even possible since the log-transformed data only makes up a small portion of my datasets.  Finally, I should ask if having such a combination of data types will complicate analysis so much that it will make inferences unreliable.  I am currently using R for this analysis.  Thank you.