This topic has 3 replies, 2 voices, and was last updated 1 week ago by John Moffat.

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February 23, 2021 at 12:15 pm #611433
xHolmesyx
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Hi All,

I was wondering if someone could help me with a question I am very stuck on please. I seem to be okay with most learning curve questions but this one has completely thrown me, please see below.

Batch No: Time Taken:

1 100 minutes
2 70 minutes
3 59 minutes
4 55 minutes

What was the rate of learning closest to? (1.d.p)

The answer is 84.3% but I can’t get my head round the reasoning for this when I look at the answer. One method seems to be to take the average of the two learning rates of batch number 2 and 4.

Any help would be much appreciated!!

Thanks.
February 23, 2021 at 4:35 pm #611458
John Moffat
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There is no such method as what you write in your last sentence!!!

The average time per batch when they make 4 batches is (100 + 70 + 59 + 55) / 4 = 71 minutes.

Making 4 batches involves doubling twice, and therefore the learning rate =
square root of (71/100) = 0.843 (or 84.3%).

I do suggest that you watch my free lectures on learning curves because I go work through a very similar example to this (as well as explaining how the doubling rule works).

The lectures are a complete free course for Paper PM and cover everything needed to be able to pass the exam well.
February 23, 2021 at 5:07 pm #611462
xHolmesyx
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Hi John,

Thanks for the reply. In regards to the method I mentioned in the last sentence, I was referring to an explanation that Kaplan gave in the exam kit, I probably didn’t explain it very well. It involved getting an average of two learning rates which equals 84.3% which I didn’t really understand as it seemed to be an odd method.

I was confident on all the exam type questions I was doing on learning curves but this one slightly threw me for some reason. The method you just explained makes perfect sense to me as by the time it gets to the fourth batch it would be R squared so you therefore just take the average time per batch for the four, divide it by 100 and find the square root which will equal the learning rate.

Thank you so much for your help on this!
February 24, 2021 at 6:48 am #611493
John Moffat
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You are welcome 🙂
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