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Learning Rate (Log rule)

VVicks11y ago
Hi , I need help with the Log rule. Can you help me with the following question : A manufacturing company wants to measure the learning rate that it has achieved with the manufacture of a new product item. The first item produced took 6 hours to make and the average time for the first 16 units was 3.3 hours. What has been the learning rate for this product, to the nearest 1 % ? I understand the doubling rule of 2 to the power of 4 gives you 16. So from the first of 6 hours and 16 of 3.3 hours I divide 3.3/6 to give me 0.55. so 0.55 equals R to the power of 4. From here I get slightly confused ... I calculate it as Log2(0.55) which gives me -0.862 so to the nearest 1% i say its 86%. Can you advise me of a slightly different method ? or how you would tackle this question? Thank you in advance :)
John MoffatJohn MoffatTutor11y ago#1
You cannot be asked to calculate the learning rate using the log formula - only using the doubling rule. R^4 = 0.55 So R = fourth root of 0.55 = 0.86 (or 86%) (To take a fourth root, either use the relevant buttons on your calculator, or alternatively just take the square root twice)
VVicks11y ago#2
Thank you :)
John MoffatJohn MoffatTutor11y ago#3
You are welcome :-)
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