Econometrics - Simple Linear Regression | Expectation and variance of OLS | Gauss Markov Theorem
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- Опубликовано: 3 мар 2019
- Learn Econometrics Easily | Simple Linear Regression Analysis | Expectation and Variance | OLS Estimator | Basics of Econometric | What is Econometrics? | Ordinary Least square method | Gauss Markov theorem.
Best Online classes for Economics Honours, Econometrics, MA ECO Entrance classes , Bcom Hons, CA foundation.
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Our faculty Mr. Rahul Kanojia is experienced in this field since many years, he is a known teacher in Delhi University for his outstanding results. This is the platform where you can find the best online classes for economics, econometrics, actuarial, CA foundation.
What is econometrics| What is Simple linear regression analysis.
Econometrics is the branch of economics concerned with the use of mathematical methods (especially statistics) in describing economic systems.
Simple linear regression is a statistical method that allows us to summarize and study relationships between two continuous (quantitative) variables: One variable, denoted x, is regarded as the predictor, explanatory, or independent variable.
What is an OLS?
ordinary least squares (OLS) is a type of linear least squares method for estimating the unknown parameters in a linear regression model.
What is Gauss markov theorem?
the Gauss-Markov theorem, named after Carl Friedrich Gauss and Andrey Markov, states that in a linear regression model in which the errors have expectation zero, are uncorrelated and have equal variances, the best linear unbiased estimator (BLUE) of the coefficients is given by the ordinary least squares .
Expectation and Variance
The expected value (or mean) of X, where X is a discrete random variable, is a weighted average of the possible values that X can take, each value being weighted according to the probability of that event occurring. The expected value of X is usually written as E(X) or m.
The variance of a random variable tells us something about the spread of the possible values of the variable. For a discrete random variable X, the variance of X is written as Var(X).
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It is really worthy for the learners of economics
Sir please make more video on linear programming for upsc optional mathematics your method of delivering lecture is very good
you are doing gods work , thank you so much sir
Come with new topics.
Excellent job
Your teaching method is really good sir..... Makes it easy to understand
Such a helpful video and easy way to find out variance
Awesome. Everything explained clearly
sir it was meritorious....thankuuu so muchh
Thank You sir ....you explain really valuable information...i really like..
Sir your videos still come in so handy to revise these old topics😊
Thank you so much sir much much much respect from Pakistan .. Your videos help me a lot
At around 10:07 , in the expansion of the square of the term in The denominator, how does expanding the square of two terms give to only two terms, like how come (a-b)²=a²-b² only?
Just outstanding sir❤️❤️
sir we want videos on multiple linear regression model n violation of classical assumptions ..as soon as possible plzzzz
You are amazing. Thankyou
Sir its really amazing thankuu so much sir.
Kindly upload econometrics videos on the topics of syllbus of m.a economics.
Sir u r great n plzz upload more econometrics video
Sir plz make more video it’s very helpful for us
Sir plzzz continue this topic as soon as possible...Plzzzz sir
Sir your previous video was very good but you have added a lot in this video
Exlent tech
Please make more videos like this
Thank you very much Sir 🙏
Superb
Very good lectures
Sir pls make more videos on detailed econometrics......like chi square, t-distribution,f-distribution etc.....consistency ,efficiency, interval etc.....and also multiple linear regression......pls sir.....
For videos please contact us on +91-9810148882
@@RSGClasses At 10:14 when u opened the whole square to a2-b2 how that happened? you have even put "n" there ,...got lost, could you please clarify sir?
@@cghale3692 ∑i-n (Xi-Xbar)^2 = ∑i-n { Xi^2 -2Xi Xbar + Xbar^2 } [ expansion of (a+b) ^2 ]
= ∑i-n Xi^2 - 2 Xbar ∑i-n Xi + ∑i-n Xbar^2
= ∑i-n Xi^2 - 2 Xbar [ nXbar] + nXbar^2
=∑i-n Xi^2 - nXbar^2
@@gauravbanaula3344 hey.. at 16:16 he opened the variance bracket and k became k square.. how???
@@nidhinala_art its the property of variance function...
i am too much happy since i have got a detail explanation proof so i am very satisfaied thank you very much
Thank you so much sir❤
Sir plz upload more videos like second MA syllabus based.
great and fast
Thanks a lot
Outclass sir
Nice explanation..........#commercequeen
plz do solve the given example questions and is it possible that the numerator value of the last question solved be negative
Thank you sir🙏
Sir make more videos on multiple regression model
Qno.1
I have 3 dependent variables. Two of them are in range of normal skewness value i.e. +1 to -1 and have kurtosis in range of +3 to -3, but the third remaining dependent variable is not in normal range of skewnes or kurtosis. I want to transform that variable with square root transform to run parametric tests. So the question is, Can I transform that one variable only and run parametric test on the variables or I should transform all three variables before doing test? should I transform all three variables together even the two of them are already normally distributed? will it create problems to transform only one non normal variable?
q.no.2
Can I infer and interpret my data for normality on the basis of skewness and kurtosis only rather than gooing for shapiro wilk test?
sir please make more videos on quantitative techniques
Please make video on variances for multiple regression model
Thankyou sir
Sir aap kya logical reasoning bhi sikhate ho ca ki online classes m?
I cannot find the video to multiple linear regression model, can you please send it
Please solve bestness property of the intercept estimator
Namasite 👏👏👏👏I'm from Ethiopia i'm not comment on ur teaching method ,but please try to use international language or make another video which u teaching by English. Thank u
SUPER
I WISH THIS WAS IN ENGLISH :(
Hi how can I show that E(ε|X) = 0 ⇒ E(ε′X) = 0? does this hold for E(ε′X) = 0 ⇒ E(ε|X) = 0?
sir econometrics me Simultaneous linear equation model topic cover krva dijiye ...please
Summation kiui ko phle shuru m he zero kr skte the na...ki=xi/sumxi^2
Toh ki ki value replace krne pr vo sum xiui/sumxi^2 hota or xiui zero he hota h as we prove in earlier video
sir at 10:10, why doesn't summation of Xi-Xbar whole square follow the rule of (a-b)square= asquare-2ab+bsquare?
same question
????
same
it doesn't work like that. Xi - X(bar) is the deviation of the values from their mean. For eg if i have a class of 4 students. their marks obtained in an exam is 10 20 30 and 40, then the average (Xbar) will be 25. Then Xi-X(bar) will be: 10-25=15, 20-25=5, 30-25=5, 40-25=15.
summation over a constant is n times that constant. here X(bar) is a constant, which means summation Xbar will be nXbar. due to the square outside it become nXbar(square)
Why the variance of ki came out as ki^2 at 15:55 ?
Sir how ki*2 comes out .itz ki na
Moja a geya
Sir i need BLUE explanation
i need also
Sir is video se phle wale video ka link share krye isse just phle wale video ka link...
Bita 2 ka value is video mai kuch or bata rahe hai sir
Sir Ur videos are good but one thing I would like to know is that are these proofs are in our syllabus
If u r studying b.sc economics honours or maths or statistics honours.....and if u r having econometrics as a subject of urs then these proofs r very much needed.....these are the basics of econometrics.....
What can I say?
Your class is very good. Show...
😂😂
Finallyyyyyyyyyyyy
Sir aap muja honour ka liya syllabus btwa skta ho
13:22 aik x 1 ke samne kese buhut sare mu hote he ? aik x samne 1 mu nae hota kia ?
Sir population parameter constant kyu hote hai
Sir apne efficiency nhi prove kri
Me: konsi film dekhega
Bestfriend: 28:18
Tech P underrated comment😂
In maths
Is there all lecture of econometrics available?
Sujata Jadhav yes
@@RSGClasses on you tube or paid course
Sujata Jadhav you can call us and get the details
Sir i am an eco hons student. Facing problem in econometrics. Do you provide online classes for econometrics? Can you share the details?
Pls call on 9810148860
@@RSGClasses at what time?
@@VedPrakash-is9yb 9 to 6
Sir i tried to connect with you. Its seems like you are not interested to give response to any of my messages.
@@VedPrakash-is9yb pls call now
Ye mathematics h bacho .....any thing will be possible
19:55 from where - beta1 comes all of a sudden ?
it doesn't come all of a sudden. after solving the residual comes out to be bita1.(gets hidden because its written below the screen)
Please please good teaching mr! But teaching only English languages
E(Y) = B1 + B2( X bar) kaisa hua 19:00
How u took - nxbar in 23:23
Yes same doubt I have , I think he put that by mistake .
no bro. summation small xi sqaure can be written as summation capital Xi sqaure minus nx(bar).
blue batana bhul gaye aap
The formula for summation Xi-X(bar) is wrong. (a-b) the whole square is a2-2ab+b2 .
∑i-n (Xi-Xbar)^2 = ∑i-n { Xi^2 -2Xi Xbar + Xbar^2 } [ expansion of (a-b) ^2 ]
= ∑i-n Xi^2 - 2 Xbar ∑i-n Xi + ∑i-n Xbar^2
= ∑i-n Xi^2 - 2 Xbar [ nXbar] + nXbar^2
=∑i-n Xi^2 - nXbar^2
@@gauravbanaula3344 thanks for explaining
@@gauravbanaula3344 thanks a lot
Camm
sir ye G GUJRATI k konse ch tk h?
Chapter 3 or 4 I think
@@saniaabbasi6809 you know this is 3 years old? m doing MBA now 😂
@@Amandeepsingh-wu7en but Ia doing B's economics in this year so
@@Amandeepsingh-wu7en lmaooo
@@adityamukherjee32 MBA b hogai bhai
Sir mu M.Aeconomics re 2nd year utakal university re padhuchi
3rd semister econometrics achi kintu question kn asiba janiparuni au econometrics difficult laguchi
please AVOID using that annoying sing-song voice for future videos.
I wonder how much people can criticise so much rather than focusing on the efforts.... Really jobless people!
@@A_struggling_researcher07 sahi mey...