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The data regarding number of girls (yt) per 1000 boys in the age group 0-6 years of a state are given in the following table. Obtain the linear trend using graphical method.

Year 1961 1971 1981 1991 2001 2011
\(y_t\) 965 948 947 928 883 890

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Here, the unit time of is year; y = yt = No. of girls per 1000 boys; t assumes 1961, 1971, …………. 2011. Taking origin at t = 1951 and scale to 10 years the given time series is written as shown in the following table:

Taking t on X-axis and y on Y-axis, the points (1, 956), (2, 948), …….., (6, 890) are plotted on the graph paper. Joining these points serially by straight 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 showing the trend of the given time series.

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