Quantitative models of music. Chance (Fall 2004) published a study on modeling a certain pitch of a
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Quantitative models of music. Chance (Fall 2004) published a study on modeling a certain pitch of a musical composition. Data on 147 famous compositions were used to model the number of times (y) a certain pitch occurs—
called entropy—as a straight-line function of year of birth LO9
(x) of the composer. On the basis of the scatterplot of the data, the standard deviation s of the model is estimated to be s = .1. For a given year (x), about 95% of the actual entropy values (y) will fall within d units of their predicted values. Find the value of d.
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