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The following data show the sales (in thousand ₹) of a commodity. Find the trend by graphical method.

Year 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016
Sales (thousand) 200 216 228 235 230 232 236 235 230 233

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Here, unit of time is year. n = 10; So t = 1, 2, 3, ……….., 10; y = sales.

The given time series is written as shown in the following table:

Time t 1 2 3 4 5 6 7 8 9 10
SAles (in 0000) y 200 216 228 235 230 232 236 235 230 233

Taking t on X-axis and y on Y-axis, points (1, 200), (2, 216), …, (10, 233) are plotted on the graph paper. Joining these points serially by lines,

the curve of the given time series is obtained as follows:

The curve passing through close to most of the points of the curve of original series is the parabolic curve showing the trend of given time series.

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