how does aggregation reduce noise why do statistics need to be applied to aggregated time series what statistics are preserved what statistics is preserved under aggregation what is preserved under aggregation can you aggregate a time series data for regression what statistical process is used for a linear regression? why are some statistics useful? what is the purpose of aggregate data what is retained under aggregate aggregate vs aggregate statistics how to preserve statistics why aggregate statistics can statistics be applied to time series what is an aggregation of statistics what statistic is preserved under aggregation what statistics are preserved why do we aggregate time series does statistic averaging affect the aggregate what statistics can be applied to aggregated data