melodykap
2021-05-31
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 (x) of the composer. On the basis of the scatterplot of the data, the standard deviation
Brighton
Skilled2021-06-01Added 103 answers
Given:
The Empirical Rule or (68-95-99.7 rule) tells us: Approximately 68% of the observations are within 1 standard deviation of the mean.
Approximately 95% of the observations are within 2 standard deviations of the mean.
Approximately 99.7% of the observations are within 3 standard deviations of the mean.
By the empirical rule, about 95% of the data. values are within two standard deviations of the mean.
About 95% of the actual y-values are within 2s of the predicted y-values (due to the fact that the errors have approximately a, normal distribution with standard deviation s).
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