From this, develop your final model of the inverse-proportion between frequency and length. A further exploration can be used to relate the notion of an octave with the bar lengths, as well as using the inverse-proportion developed above. Each bar is p times as long as the bar previous to it. One will note that the square root of 2 is very close to 1.414. One glockenspiel bar is three times as long as another.
Inverse proportions are evident in every day life.
Suppose you attend a conference in January and meet 80 new people. In February, you can recall only 30 names, in March you can recall 11 names, and in April only 3 names. Convert both sets of data into two new lists by taking their logarithms. Perform a power regression on Lists 1 and 2, and a linear regression on Lists 3 and 4. Discuss your findings.