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June 13, 2015 at 11:43 am
I would like to thank you and Open Tuition for the great lectures which helps my studies to be a lot easier.
However, I came to a question where I have a little problem. Would you be kind to help me how to deal with it please.
The question is from ACCA Global and it is as follows:
The first batch of a new product took six hours to make and the total time for the first 16 units was 42.8 hours, at which point the learning effect came to an end.
Calculate the rate of learning.
ACCA Global suggested using equation but not the learning curve formula.
the final step to get the answer, it tells to take the fourth root of each side that involves using the calculator button r4 or calculator button x1/y to find the forth root of a number. However, both my calculators do not have these buttons and even looked my calculator guides but there is nothing mentioned about theses buttons.
Could you suggest how to take the forth root or any alternative approach to the question.
Many thanks in advance.
John Moffat says
June 13, 2015 at 1:40 pm
Easiest is just to press the square root button twice
May 28, 2015 at 12:53 am
In example 6 by formula ,if we calculate total time of 8 units answer verify the doubling rule no need to find total time for 9 units and then subtract 1st unit time ,it means we can calculate total time for n units,But why it is not verifying answer for 7 units why we should find 8 then subtract first unit time.
Prompt reply is highly appreciated.
May 28, 2015 at 9:54 am
Whether using the formula or using the doubling rule, you can only get the time for the first number to be made (i.e. you can calculate the time for the first 4, or the first 5 or the first 6 and so on). If you have made some units already, then you cannot work out directly the time for another 4, or another 5, or another 6 etc..
The only way you can do it is the way in the lecture.
May 2, 2015 at 3:16 pm
thank you for your great lectures!
April 30, 2015 at 5:56 pm
Thanks John Moffat for the lecture, is well explained. However, I have one small problem, I wish to know the difference between total time for the next 7 and total time for 7. In example 6 you calculated total time for the next 7 and got 237.5 and I tried to calculate total time for 7 using the formular I got 312.22 . I was hoping to get 237.5. So i was wondering if they don’t mean thesame thing.
April 30, 2015 at 6:11 pm
When it says the next 7 it means another 7 after the one already produced – so it bring the total up to 8.
So to get the time for the next 7 you need to calculate the total time for 8 and then subtract the time it took for the first one.
April 30, 2015 at 9:31 pm
Thanks for the prompt reply to my question. It is now understood.Thanks once more for the excellent lectures you are giving in this site.
April 19, 2015 at 2:11 am
In the last part of the question where the total time for the 30 batches was calculated, why was the average time of 90.80 multiplied by 30 to get 2,724?
I thought the average time of 90.08 which was calculated for the 30 batches would have been used.
April 19, 2015 at 6:19 pm
It was corrected later in the video.
April 2, 2015 at 1:42 pm
Very well explained but still in the mire with two months to exam
March 31, 2015 at 8:11 pm
Do we also have to know, how to calculate learning RATE? Because in BPP text it’s shown how too.
March 31, 2015 at 10:06 pm
Yes you do, and I explain how in the lecture.
March 31, 2015 at 10:15 pm
Sir, I was referring on how to calculate that 80% rate or 90%. (not log *0.8/log2)
March 31, 2015 at 11:05 pm
Sorry – but yes, you can be asked to calculate the learning rate.
However only by working backwards using the doubling rule (not by using the log formula backwards – that cannot be asked)
March 31, 2015 at 11:15 pm
Thanks a lot.
Yeah formula one is bit complex though.
February 8, 2015 at 8:25 pm
Thanks john by providing chapter 12 quantitative analysis in budgeting, it was so wonderful.
November 18, 2014 at 9:03 pm
at first i thought we need to calulate the total time for the 30th batch and then 31th batch
November 18, 2014 at 9:02 pm
thanks a lot i really benefited from the lecture
November 6, 2014 at 1:18 pm
Thank you for the useful lecture. I was just wondering if u can help me with working it out on the calculator as I can’t seem to find the symbol Xy and +/y to work out the answer for Example 7?
November 6, 2014 at 4:32 pm
I can’t really help, because there are different types of calculator with different ‘logics’ which affects the order in which you press the keys.
Sorry, but you are going to have to search in the manual that came with the calculator
November 12, 2014 at 9:43 am
I thought you might say that I have found how to do the Xy symbol but not the +/- but I’ll have a look at the manual again. Thanks again for the lecture!
October 13, 2014 at 5:10 am
Hello Sir, thanks for the great work. I need a clarification. Why is it that when learning rate increases, average time also increases. I thought as learning rate increases which means people learn faster, then average time taken to produce the product should reduce. For example when first unit takes 200hrs and learning rate is 60% then average time is 120hrs for second unit, if the rate increases to 70%, the average time rather increases to 140hrs which confuses if compared to real life.
October 13, 2014 at 6:38 am
I realise that in other contexts we tend to think of it as the higher a percentage it then the better, but in the case of learning rates this is not the case.
The lower the learning rate the faster they are learning. We would want the learning rate to be as low as possible. A learning rate of 70% is better than a learning rate of only 90% – the 70% people are learning faster.
October 13, 2014 at 8:59 am
Thanks for the quick response but still not very clear. What does the percentage really mean then? I take it as it means the rate at which the workers are learning and if so then the faster the better so the higher the rate the better. That’s why am thinking that way. Probably it means something different. I will be clear if u can help me with that thing.
October 13, 2014 at 4:40 pm
Don’t look for a meaning! All it means is that the average time falls to that percentage of the previous average time.
It is a measure for us to find how fast they are learning, but not in the way that you are trying to interpret it. Too many think that way without understanding how it is working (which is why the examiner once asked as a small part of a question – which is better, a learning rate of 80% or a leaning rate of 90%. The answer is 80%).
(Higher percentages are not always better. If I told you that my company wastes 10% of my raw material and another company wastes 5% of its material, it certainly does not mean that my company is doing better )
October 14, 2014 at 6:48 pm
I got it. Thanks very much. It means For example, an 80 percent
learning curve means the per unit average
cumulative cost (in hours or dollars) falls to 80
percent of the previous per unit average
cumulative cost as the cumulative output
doubles. Therefore the lower it falls the better.
Thanks very much for your reply.
September 25, 2014 at 9:22 am
Just a note that “r” is defined incorrectly in the notes. It should be “…expressed as a decimal” as opposed to a “…%”.
Thank you for a great lecture as always!
September 24, 2014 at 1:42 pm
Sir, how can i determine the learning rate in a learning curve question if it was not given in the question?
September 24, 2014 at 1:43 pm
The learning rate will be given in parts of questions where you need it.
As a separate part of a question you could be told how long each of the first and second units/batches take, and then you can work out the learning rate ‘backwards’ using the doubling rule.
September 24, 2014 at 1:55 pm
Thank you sir
September 11, 2014 at 8:13 pm
Thanks alot. I got it right in Nigeria with your lecture
May 15, 2014 at 7:19 am
May 7, 2014 at 11:01 am
heyy sir, what does “r=0″ mean
May 7, 2014 at 11:08 am
It is meaningless because it is impossible.
(Just think, how on earth could the average time per unit be zero – unless the time for the first unit (and all subsequent units) was zero!!)
September 23, 2014 at 1:14 pm
thanks so much
April 30, 2014 at 11:25 am
Thank you sir, this lectures allowed to understand the logic behind the learning curve formula.
kgomotso basiami says
April 26, 2014 at 11:25 am
thank u sir this is a wonderful lecture now i do understand the topic on learning curves. God bless u!!
April 18, 2014 at 6:31 pm
Could anyone let me know how to use Casio scintific calculator for learning curve formula..say
Y=aX^b = 10*5^-0.152
Your comments will be appreciated.
April 11, 2014 at 8:50 pm
Thank you so much. I had problems understanding this before, but now is so clear.
April 12, 2014 at 8:29 am
April 7, 2014 at 8:36 pm
Thanks for scientific calculators!!!
November 27, 2013 at 1:51 pm
great lecture sir. Can you pls advise if we should emphasise only on theory part for Regression Analysis & Time Series or should we also concentrate on calculatios equally.
November 27, 2013 at 10:08 pm
As is made very clear in the introduction paragraph to the Course Notes, you will not be asked for calculations on regression or on time series. (The calculations are examined in Paper F2)
You are only expected to know the principles. I have only left the calculations in the notes (and lectures) to hopefully make the idea more clear.
November 28, 2013 at 3:21 am
November 27, 2013 at 1:46 pm
great lecture sir. Can you ls advise if we should emhasi only o theory art for Regression Analysis & Time Series or should we also cocetryae o calculatios wqually.
November 2, 2013 at 7:25 am
Great .thanks a lot
October 2, 2013 at 5:56 am
I read in the syllabus for Dec 2013, that the only topic left in the syllabus is learning curve and high-low method in quantitative budgeting…is it?
October 2, 2013 at 6:40 am
Time series and regression analysis are assumed knowledge from Paper F2. The examiner has said that there will not be detailed calculations on either, but you are expected to be aware of both.
(If you look at the course notes, it actually says this in bold letters. We update our notes every six months and everything in our notes is relevant for the December 2013 exams)
July 23, 2013 at 5:57 am
cant watch any lecture today is there any problem.
July 23, 2013 at 7:36 am
Lectures work fine, please check support page
May 27, 2013 at 11:06 am
Someone told me that Time Series is no longer on the syllabus of 2013. Is that true?
May 27, 2013 at 4:53 pm
Time series are unlikely to be asked, but they are assumed knowledge from Paper F2. You will certainly not be asked for calculations, but you can be expected to know what time series are.
May 18, 2013 at 2:08 am
For June 2013 exam, Regression Analysis is not in the syllabus anymore right?
May 18, 2013 at 6:50 am
It is still examinable as assumed knowledge from Paper F2. However you will not be asked for any calculations in Paper F5.
May 18, 2013 at 8:59 am
Meaning, I just need to know the theoretical part?
May 18, 2013 at 9:50 am
Yes. To be honest, it is not very likely that anything will be asked now. The sort of thing she could expect is for you to be able to mention that regression analysis wold be one technique you could use for forecasting.
May 18, 2013 at 10:00 am
May 8, 2013 at 6:56 am
Great lecture thanks very much…
March 26, 2013 at 10:25 pm
each n every part of topic ,very well explained
March 7, 2013 at 9:59 pm
Very well explained!!
December 2, 2012 at 4:05 pm
Urgent help plzzz tomorrow i have my F5 paper …
In learning curve the formula method how do find values of the logs ??
will i be given log table ??? or should i carry my own ?? or am i allowed to use scientific calculator ?
December 2, 2012 at 5:25 pm
@safwandeshmukh, You are not given log tables and you cannot take your own. But you are allowed to use a scientific calculator.
However, almost certainly you will be given the value of b if learning curves are asked.
(but you will still need a scientific calculator to calculate y = ax^b )
November 27, 2012 at 10:16 pm
Really good lecture!
November 23, 2012 at 4:08 am
After this lecture, failing is optional
November 16, 2012 at 10:54 pm
Excellent lecture. Thank you.
November 16, 2012 at 7:45 am
I like you John! Good lecture!
June 10, 2012 at 5:25 pm
I am working Question 3 on Past Paper Dec 2008. When I calculate the time it takes to fit 199 kitchens using the method provided by OpenTuition, I am arriving at a different answer from the examiner. Could anyone shed some light on this?
June 5, 2012 at 2:25 am
very helpful lecture….
really best things in life are for free…….
May 22, 2012 at 10:59 pm
I can not see any lecture on regression analysis on F2 lectures! Can anyone tell me please where do I find it?
May 28, 2012 at 6:25 pm
@mansikhusi, Chapter 17 has Regression Analysis
June 2, 2012 at 8:37 pm
@kam2189, and in which particular part? there are 4 lectures for Chapter 17 F2?
June 1, 2012 at 12:28 pm
Thanks Open Tuition.Great lecture.
May 10, 2012 at 8:54 pm
understood! great lecture
April 30, 2012 at 3:49 pm
very useful lecture
April 26, 2012 at 8:34 am
great ! n useful !!!!
April 12, 2012 at 10:05 am
Great.THANK YOU Very much!!
March 19, 2012 at 5:28 pm
Can anyone tell me where I can find a video lecturer for regression analysis? In what chapter of F2 video lectures is it exactly?
June 2, 2012 at 8:39 pm
@perfecta1, Same story.. can’t find it there! could be nice if anyone can advice… thanks in advance
March 4, 2012 at 9:01 am
Awesome lecture….the only problem i’m facing is once the lecture is almost in it’s last part, it gets back to the beginning!!!
Reached the part where the lecturer was teaching how to calcuate “LOG R” and then the video gets back to beginning….What’s that suppose to be???Any idea!!!
March 4, 2012 at 10:20 am
wait for the lecture to fully load, then press play..
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