F5: Calculating the learning rate

mark057
mark057 Registered Posts: 352 Dedicated contributor 🦉
I was just wondering if someone can tell me how to calculate this particular learning rate.

The cost of learning for the first 10 000 units is $30.00.
The cost of learning at 40 000 units is $22.71.

The answer says:

30r2 = 22.71
r2 = 0.757
r = 0.87

How do you calculate the answer using a scientific calculator? I've tried using google but can't find an answer.

Mark

Comments

  • SandyHood
    SandyHood Registered, Moderator Posts: 2,027 mod
    Do you understand the formula?

    Y = a x (to the power of) b

    It is far more common to look at learning as a way of finding the cumulative average time for producing a product.

    b is the index of learning found by log of learning
    ................................................ log of 2


    There is a short cut approach which is limited in terms of usefulness.
    If you look at increased production along the lines of:
    1
    2
    4
    8
    16

    It works in this example, where you used an answer to try to understand what to do. (Not the approach I recommend)
    You found the short cut being used.
    The cumulative average time for 4 is going to be the time needed for the first x the learning rate twice

    To go from 1 to 2 you multiply by the learning rate
    To go from 2 to 4 you multiply by the learning rate again

    In this case you know the Y value for 4 (22.71) and for 1 (30.00)
    30 x the learning rate x the learning rate = 22.71
    So 22.71/30 = learning rate x learning rate

    So if you square root 22.71/30 that will give you the learning rate of 87%
    Sandy
    sandy@sandyhood.com
    www.sandyhood.com
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