General Mathematics · Unit 3 · Time series analysis · Analysing time series data
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A wildlife researcher records the daily number of native birds sighted in a forest reserve over seven consecutive days. The observed counts are: 5, 10, 18, 32, 52, 70, 90. Calculate the second smoothed value using a 3-point moving average. Show all working.
A café records the number of customers visiting each day over a nine-day period. The data is: 28, 35, 42, 38, 51, 47, 54, 49, 56 customers. (a) Calculate the first smoothed value using a 3-point moving average. (1) (b) Calculate the second smoothed value using a 3-point moving average. (1) (c) State which day this second smoothed value represents. (1)
A marine biologist recorded the daily count of migratory whales passing a coastal observation point over eleven consecutive days. The data is shown in the table below. Calculate a 5-point moving average using the mean to smooth the time series data.