What is the difference between autocorrelation and partial autocorrelation in time series analysis?

1
Autocorrelation measures the correlation between a time series and its past values, while partial autocorrelation measures the correlation between a time series and its lagged residuals
2
Autocorrelation measures the correlation between a time series and its past values, while partial autocorrelation measures the correlation between a time series and its lagged values after controlling for the effects of all other lags.
3
Autocorrelation measures the correlation between a time series and an external variable, while partial autocorrelation measures the correlation between a time series and a related variable
4
Autocorrelation measures the correlation between a time series and its residuals, while partial autocorrelation measures the correlation between a time series and its lagged residuals.

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