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The times taken to produce each of the first four batches of a new product were as follows:
Batch number Time taken
1 100 minutes
2 70 minutes
3 59 minutes
4 55 minutes
What was the rate of learning closest to?i know there is a different approach to this question by 100r2 = (100 + 70 + 59 + 55)/4, giving r = 84.3%
but first cross my mind to d o this 100+70=170/2=85
100+70+59+55=284/4=71
71/85=83.53i don’t understand isn’t that the correct way as well ? why should i take The overall rate of learning is an average of these two rates of learning, so we have (85% + 83.53%)/2 = 84.265, say 84.3%
that doesn’t make sense to me if start from the begging ” when output is doubled accumulated average time reduce by the learning rate ” if i applied this it doesn’t work out correctly .when i doubled to 2 the LR was 85 and when i double 2 the learning effect suppose to be the same , same 85 when i tried to take the percentage of 84.265 doesn’t come to 71 but 83.53 does
The best way to do it is this:
The average time per batch for 4 batches is therefore 71 minutes
The time for 1 batch is 100 minutes
Therefore the best estimate of the learning rate is: the square root of 71/100 = 0.84 (or 84%)The average time per batch when producing 4 batches is (100 +70 + 59 + 55 ) / 4 = 71
Given the producing 4 means doubling twice, the learning rate = sq root of 71/100 = 0.843.
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