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Curve fitting method || least square method 

Civil learning online
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This is the third type video about to he method of curve fitting when equation contains exponential terms.
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• Curve Fitting Least Sq...
I AM EXTREMELY SORRY FOR THE INCONVENIENCES.
In curve fitting method, the natural logarithm (ln) is often used when fitting an exponential equation of the form y = ae^(bx) to a set of data points.
The reason for using the natural logarithm is because it can transform an exponential equation into a linear equation. Taking the natural logarithm of both sides of the equation, we get:
ln(y) = ln(a) + bx
Now, if we plot ln(y) against x, we get a straight line with slope b and y-intercept ln(a). We can then use linear regression techniques to find the best-fit line and determine the values of a and b for the original exponential equation.
Using the natural logarithm to transform an exponential equation into a linear equation is a common technique in curve fitting, and can be used with other types of functions as well.
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3 апр 2020

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Комментарии : 157   
@epicclips5512
@epicclips5512 Год назад
Here, the equation is, B= loge *b, so the value b will be as, b= B/(loge), simple math not antilog(B)
@Civillearningonline
@Civillearningonline Год назад
Yes
@ArjunDas-eu7ey
@ArjunDas-eu7ey 28 дней назад
B=b
@UCESNEHINSINGH
@UCESNEHINSINGH 2 года назад
Thank you for providing such an easy explanation on this topic
@Civillearningonline
@Civillearningonline 2 года назад
Welcome
@manideep6704
@manideep6704 2 года назад
I just Skipped This video and TF 🤣🤣 Same Question aaya Exam mei😢😢
@Civillearningonline
@Civillearningonline 2 года назад
Wah bhai. Maza aagaya 😁
@abhikhursange3479
@abhikhursange3479 Год назад
Same brother
@yashjainn
@yashjainn Год назад
@@Civillearningonline koi na next year solve karlena 🤣🤣
@gopikrishna8969
@gopikrishna8969 Год назад
Same 😢
@melroydsouza7751
@melroydsouza7751 Год назад
Yeah fr same happens with me also that too everytime 😂
@beyza888
@beyza888 Год назад
hello, what should I do if i have a function like that: Ax(e^(-Bx)) thanks for your respond
@kayecilynmalabanan2612
@kayecilynmalabanan2612 3 года назад
may I know if this example of yours is align in nonlinear regression?
@arjunsinha8359
@arjunsinha8359 Год назад
Curve fitting mein orthogonal polynomials aur least squares method ka kya role hota hai?
@chilukuritharunkumar3305
@chilukuritharunkumar3305 2 года назад
Can you find the root mean square for this
@tanjilajahan3944
@tanjilajahan3944 2 года назад
I have a question.. For the last equation there was b×loge so when equating you solve it as antilog(..) but what about the e?????
@Civillearningonline
@Civillearningonline 2 года назад
e is just a representation, loge transform to antilog.
@Civillearningonline
@Civillearningonline 2 года назад
e represents natural log. And another is ln.
@anantatikar
@anantatikar Год назад
Same question
@lastfight857
@lastfight857 Год назад
He takes the wrong log in calculator. ln in calculator is actually log and its antilog is e^ .... but the log he takes was actually log base10, i.e log10( .
@GetoPlayzZzYT
@GetoPlayzZzYT 5 месяцев назад
​@@lastfight857yeah... 💀
@phatikthapamagar5242
@phatikthapamagar5242 Год назад
here Y is equal to logy , why didn't you changed that for calculate the equation of y?
@praveenbhukya5315
@praveenbhukya5315 2 года назад
Super explanation bro
@AkhtarAli-bx3fc
@AkhtarAli-bx3fc Год назад
Loge=ln so you have take anti ln instead of antilog in finding the value of b
@chaitanyaprudhvi
@chaitanyaprudhvi 3 года назад
Sir pls explain using Taylor's series method solve dy/dx= x^2+y^2 for x=0.4 given that y=0 when x=0
@Civillearningonline
@Civillearningonline 3 года назад
Which language do you want hindi or English?
@Civillearningonline
@Civillearningonline 3 года назад
Give me 2 days time
@aryaashok2136
@aryaashok2136 Год назад
Useful vdo🥰
@hemraj9739
@hemraj9739 3 месяца назад
Why you dont use natural log ??
@Naz_123naz
@Naz_123naz 8 месяцев назад
You are taking logY then Y don't you take log x ?
@kethavathpraveenrathod4420
@kethavathpraveenrathod4420 3 года назад
Keep it up bro
@harshanchinthala5618
@harshanchinthala5618 2 года назад
My lecturer explained using Natural Logarithm and got different answer which should I follow now
@Civillearningonline
@Civillearningonline 2 года назад
You cannot ise natural log in this method. Do as per this video.
@ghatakchess
@ghatakchess 2 года назад
@@Civillearningonline only in this question we can't use natural log or we have not to use in every question ??
@mahatshan29
@mahatshan29 3 года назад
Thank you for good explanation, Just I’m asking how to calculate the parameters using same method and same data for double exponential fit for this formula, Y = A.e^ax+B.e^bx For the previous formal we need to calculate A,B,a,b then Y Could you please provide some explanation of this one, I will appreciate
@mahatshan29
@mahatshan29 3 года назад
I need to use same method you showed here
@Civillearningonline
@Civillearningonline 3 года назад
Ok bro i will let you know soon.
@mahatshan29
@mahatshan29 3 года назад
Civil learning online Thank you for your response
@varmaswaero7823
@varmaswaero7823 3 года назад
Thank you brother osm class iam getting confident to write exam
@Civillearningonline
@Civillearningonline 3 года назад
Welcome bro😍😍
@Civillearningonline
@Civillearningonline 3 года назад
Best of luck
@varmaswaero7823
@varmaswaero7823 3 года назад
👍🤝
@Civillearningonline
@Civillearningonline 3 года назад
ERROR RECTIFIED: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-bZU2wzJRGtU.html Visit this link to get the correct solution. And i would like to thanks you all who traced my mistake. Curve fitting method in Hindi: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-D8U0doiP0-o.html Take care guys . BEST OF LUCK FOR YOUR EXAM.
@lathachiviti6070
@lathachiviti6070 Год назад
A
@gita_onshorts5230
@gita_onshorts5230 Год назад
@@lathachiviti6070 gjsjjs
@shree_editing
@shree_editing Год назад
8:27 agar 3 equation hue to Casio me kaise daale plz replay
@Civillearningonline
@Civillearningonline Год назад
Mode 3 select kar k agar casino 911 es he to
@praveenyellutla3970
@praveenyellutla3970 5 месяцев назад
Thank you❤
@explorewithmesantosh
@explorewithmesantosh 3 месяца назад
dont we use natural log ln(10) to find logy?
@Civillearningonline
@Civillearningonline 3 месяца назад
Yes. You are right.
@udaykiran496
@udaykiran496 2 года назад
Thank you bro
@harshaliaher7707
@harshaliaher7707 Год назад
It's helpful
@himanshutripathi7428
@himanshutripathi7428 3 года назад
bdia bhai....!!
@Civillearningonline
@Civillearningonline 3 года назад
Thanks bhai
@ankitabehera5754
@ankitabehera5754 2 года назад
Thank u😊
@vedhapriya-ky5dv
@vedhapriya-ky5dv 7 месяцев назад
Thankyou sir🥰
@kchandrasekhar9164
@kchandrasekhar9164 2 года назад
In log consists base e so use In button for logy=Y
@Civillearningonline
@Civillearningonline 2 года назад
Yes
@ambikumar5283
@ambikumar5283 2 года назад
Good job
@eee250ramsuhavmandal8
@eee250ramsuhavmandal8 2 года назад
Thank you sir
@Itsmemanasa48
@Itsmemanasa48 2 года назад
Tqs for solving the problem nd excellent explanation 🤩🤩
@Civillearningonline
@Civillearningonline 2 года назад
Welcome dear
@Itsmemanasa48
@Itsmemanasa48 2 года назад
Tqu brother
@suryapraveen8917
@suryapraveen8917 3 года назад
The mode u used on calculator , if i press same not getting
@Civillearningonline
@Civillearningonline 3 года назад
What is your calculator model?
@adriansmith9898
@adriansmith9898 3 года назад
Can this be done by using linear reressiin method??? What will be the difference
@Civillearningonline
@Civillearningonline 3 года назад
Hello dear, Here we have converted the exponential function into linear equation and further the step is similar to what we do in case of linear equation. That's the main thing to take into consideration. Do check out my video on linear equation link in description. And i am quite sure that you are going to love it. And see the difference.
@adriansmith9898
@adriansmith9898 3 года назад
@@Civillearningonline i have seen the same exact question done by regression directly calculating a and b... Can we do any of them if given in exam
@Civillearningonline
@Civillearningonline 3 года назад
@@adriansmith9898 yes you can. Same question and be solved by other method also. Go for it.
@adriansmith9898
@adriansmith9898 3 года назад
@@Civillearningonline b=(n£xy-£x*£y)/n£x^2-(£x)^2 A=(£y-b£x)/n.... Can we use this method sir... Please reply👍👍👍
@Civillearningonline
@Civillearningonline 3 года назад
Yes
@tsehayenegash8394
@tsehayenegash8394 Год назад
how to calculate the error and trend by using this data?
@Civillearningonline
@Civillearningonline Год назад
Ok. I will. Help you.
@tsehayenegash8394
@tsehayenegash8394 Год назад
@@Civillearningonline I appreciate your humblness. if you can please upload a video including error and trend in this week. Thank you. I need your email
@EERavikumar
@EERavikumar 6 месяцев назад
Tqs bro❤
@annamariaiaia1563
@annamariaiaia1563 2 года назад
good job boy
@letstryit1480
@letstryit1480 3 года назад
8:05
@DSCHIshaGarg
@DSCHIshaGarg 3 года назад
thanks
@letstryit1480
@letstryit1480 3 года назад
@@DSCHIshaGarg 😊
@vanshpathania9077
@vanshpathania9077 Месяц назад
Thanks
@sabinrai4442
@sabinrai4442 2 года назад
Ln10 is equal to 2.303
@nailaallahverdiyeva8926
@nailaallahverdiyeva8926 7 месяцев назад
Value of B will not be changed! B=b
@shivasmart967
@shivasmart967 2 года назад
tq bro
@varungudipudi
@varungudipudi 2 года назад
Sir then what we should do when even no. series is given?
@Civillearningonline
@Civillearningonline 2 года назад
Process is same. And you will have two options in case of even number. You can proceed taking any of two
@varungudipudi
@varungudipudi 2 года назад
@@Civillearningonline once explain sir please within few days i have exams
@Civillearningonline
@Civillearningonline 2 года назад
Ok . I will make you clear with an example or provide you an example solution on you email.
@varungudipudi
@varungudipudi 2 года назад
@@Civillearningonline ok sir thank you🙏🙏
@varungudipudi
@varungudipudi 2 года назад
@@Civillearningonline shall i give my mail id?
@motivationalhub2056
@motivationalhub2056 2 года назад
thanks alot sir but loge b=B then b is equal to e^(B) i think sir??????
@Civillearningonline
@Civillearningonline 2 года назад
Yes dear. You are right. And due to this confusion I had added a new example on this Method. Link is in description.
@hemanthsai7024
@hemanthsai7024 3 года назад
Is curve fiting is overfitting sir?
@Civillearningonline
@Civillearningonline 3 года назад
It's curve fitting.
@hemanthsai7024
@hemanthsai7024 3 года назад
@@Civillearningonline can you post an example problem on overfiting sir?
@luckytheracer4557
@luckytheracer4557 3 года назад
We have ta take ln insted of log
@Civillearningonline
@Civillearningonline 3 года назад
It's clearly shown while getting the final answer through calculator.
@nagrajraninga5671
@nagrajraninga5671 2 года назад
👌🏻👏🏻👏🏻
@shashankbhargava8242
@shashankbhargava8242 Год назад
can we use ln
@Civillearningonline
@Civillearningonline Год назад
No
@user-il9wz1qr1p
@user-il9wz1qr1p 7 месяцев назад
Thk sir 🤍
@maheshrajderangula2030
@maheshrajderangula2030 2 года назад
Super
@learneasy1442
@learneasy1442 3 года назад
A and B ka ki value kaise nikali sir
@Civillearningonline
@Civillearningonline 3 года назад
Either solve 2 equations manually by elimination method or use calculator to slove them. You can watch my 2nd video on same method where I have solved the equation using calculator. Link is pinned in comment section. Havd a look.
@sanjitde6018
@sanjitde6018 3 года назад
Calculation was wrong, but explanation is fine ❤️
@Civillearningonline
@Civillearningonline 3 года назад
Check out the link pinned in the comment section. It is going to be helpful to you.
@sagarpunia9405
@sagarpunia9405 2 года назад
You are doing wrong calculation .there is mistake you have done is that once you take base e of log and then base 10 ...
@stunnervenkatesh6565
@stunnervenkatesh6565 3 года назад
Explain clear ga ledhu bro
@fahadalzubair3045
@fahadalzubair3045 9 месяцев назад
nice
@Civillearningonline
@Civillearningonline 9 месяцев назад
Thank you
@CreativeVibes365
@CreativeVibes365 4 месяца назад
Are u sure the answer is correct
@harshanchinthala5618
@harshanchinthala5618 3 года назад
We don't have that option in our modern calculators 😶😶
@Civillearningonline
@Civillearningonline 3 года назад
You can solve your equation manually or change your calculator.
@vanshikamehrotra8420
@vanshikamehrotra8420 2 года назад
Press mode three times than press 1 you will get the same option in new calc
@harshanchinthala5618
@harshanchinthala5618 2 года назад
@@vanshikamehrotra8420 hey thanks for the reply Literally after 9 months 😁
@muhammadanaswaqar9051
@muhammadanaswaqar9051 Год назад
the value of b is wrong it should be 0.0590
@Tareq--ri6qe
@Tareq--ri6qe Год назад
❣️❣️❣️❣️
@kalagahemani4933
@kalagahemani4933 2 года назад
Its (log e)b=B not log b=B
@Civillearningonline
@Civillearningonline 2 года назад
Yes. You are right. I have corrected it in my new example link is in description.
@ravikiransakepujari4130
@ravikiransakepujari4130 3 года назад
Sir b= b, not log b
@Civillearningonline
@Civillearningonline 3 года назад
It's just for notation dear. Not matter in what way you solve a numerical but remember you should follow the correct step. And here in this video it is clearly explained so go for it.
@prabhatsharma2052
@prabhatsharma2052 2 года назад
You are nepali n bro?
@Civillearningonline
@Civillearningonline 2 года назад
Yes
@mr.z8378
@mr.z8378 6 месяцев назад
Is 991 allowed in Exam
@Civillearningonline
@Civillearningonline 6 месяцев назад
In my exam. It was allowed.
@syedkhajahussain6645
@syedkhajahussain6645 3 года назад
It should be B=b.....it's wrong there🙁
@Civillearningonline
@Civillearningonline 3 года назад
Yes you are right. I am rectifying it today.
@naveennavi6535
@naveennavi6535 2 года назад
average e
@lastfight857
@lastfight857 Год назад
the log you are taking is wrong, you need to take ln , not log..... ln means log and log means log10( in calculator
@Civillearningonline
@Civillearningonline Год назад
Right
@georgen9755
@georgen9755 Год назад
questions leaked before the onset of examination ........
@Civillearningonline
@Civillearningonline Год назад
😅😅
@bluesyace9564
@bluesyace9564 Год назад
b=B/loge hunxa ni haina ra aru thikai xa thanks for the vid
@Civillearningonline
@Civillearningonline Год назад
Ho. Welcome
@Vloggerpratibha14
@Vloggerpratibha14 Год назад
Why are not speak Hindi
@abhinavyadav1417
@abhinavyadav1417 Год назад
Sir apke here crow bahut hai
@Civillearningonline
@Civillearningonline Год назад
😅😅😅
@vallepusiva1468
@vallepusiva1468 Год назад
Hlo log y=loga+b how to came 🤬😡😠
@Civillearningonline
@Civillearningonline Год назад
Exponential curve ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-D8U0doiP0-o.html
@ANXIOUS_MRINANK
@ANXIOUS_MRINANK Год назад
Bhai 991 kiyu use kiya dum hai toh vo equation khud solve krke dikha naaa bihari .....
@humayunizam126
@humayunizam126 Год назад
Yahu yahi to chahiye
@Civillearningonline
@Civillearningonline Год назад
Kon Bihari bhai. Exam me tere pass time he to substitution method se solve kar.
@realmisanthrope3353
@realmisanthrope3353 10 месяцев назад
Hahaahahahahahahahaha!
@universeexpansion9982
@universeexpansion9982 Год назад
great bro
@Civillearningonline
@Civillearningonline Год назад
Thank you bhai
@sisiraasok4636
@sisiraasok4636 2 года назад
Thank you sir
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