From the following observations of annual EPS for a company, what is the first-order autocorrelation? Time EPS 1 3.88 2 3.41 4.18 4.21 5.42 5.96 3 14 5 6 Note that using the CORREL() spreadsheet function will not produce the correct result. Though for a large sample it'll be really close, for a small sample such as this one the difference can be significant. This is because for the autocorrelation you use the variance of the full sample in the denominator, as well as use the full sample to find the mean for use in covariance. In contrast, the CORREL function will treat the two subsets of the time series as separate data, and calculate separate mean and standard deviation for each.

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From the following observations of annual EPS for a company, what is the first-order
autocorrelation?
Time EPS
1
3.88
2
3.41
4.18
4.21
5.42
5.96
3
4
5
6
Note that using the CORREL() spreadsheet function will not produce the correct result. Though
for a large sample it'll be really close, for a small sample such as this one the difference can be
significant. This is because for the autocorrelation you use the variance of the full sample in the
denominator, as well as use the full sample to find the mean for use in covariance. In contrast,
the CORREL function will treat the two subsets of the time series as separate data, and calculate
separate mean and standard deviation for each.
Transcribed Image Text:From the following observations of annual EPS for a company, what is the first-order autocorrelation? Time EPS 1 3.88 2 3.41 4.18 4.21 5.42 5.96 3 4 5 6 Note that using the CORREL() spreadsheet function will not produce the correct result. Though for a large sample it'll be really close, for a small sample such as this one the difference can be significant. This is because for the autocorrelation you use the variance of the full sample in the denominator, as well as use the full sample to find the mean for use in covariance. In contrast, the CORREL function will treat the two subsets of the time series as separate data, and calculate separate mean and standard deviation for each.
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