consider the following time series data. month 1 2 3 4 5 6 7 value 25 14 21 13 20 24 16 (a) construct a time series plot. a time series plot contains a series of 7 points connected by line segments. the horizontal axis ranges from 0 to 8 and is labeled: month. the vertical axis ranges from 0 to 30 and is labeled: time series value. the points are plotted from left to right at regular increments of 1 month starting at month 1. the points appear to vary randomly between 8 to 20 on the vertical axis. the plot reaches its maximum time series value at month 7. a time series plot contains a series of 7 points connected by line segments. the horizontal axis ranges from 0 to 8 and is labeled: month. the vertical axis ranges from 0 to 30 and is labeled: time series value. the points are plotted from left to right at regular increments of 1 month starting at month 1. the points appear to vary randomly between 8 to 20 on the vertical axis. the plot reaches its maximum time series value at month 1. a time series plot contains a series of 7 points connected by line segments. the horizontal axis ranges from 0 to 8 and is labeled: month. the vertical axis ranges from 0 to 30 and is labeled: time series value. the points are plotted from left to right at regular increments of 1 month starting at month 1. the points appear to vary randomly between 13 to 25 on the vertical axis. the plot reaches its maximum time series value at month 7. a time series plot contains a series of 7 points connected by line segments. the horizontal axis ranges from 0 to 8 and is labeled: month. the vertical axis ranges from 0 to 30 and is labeled: time series value. the points are plotted from left to right at regular increments of 1 month starting at month 1. the points appear to vary randomly between 13 to 25 on the vertical axis. the plot reaches its maximum time series value at month 1. what type of pattern exists in the data? the data appear to follow a seasonal pattern. the data appear to follow a horizontal pattern. the data appear to follow a cyclical pattern. the data appear to follow a trend pattern. (b) develop the three-month moving average forecasts for this time series. month time series value forecast 1 25 2 14 3 21 4 13 5 20 6 24 7 16 compute mse. mse