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Question 16 of 25
Q.

The publisher of a magazine wants to determine the rate of increase in the number of subscribers. The following table shows the subscription information for eight consecutive years:

Years1976197719781979
No. of subscribers (in millions)12111917
Years1980198119821983
No. of subscribers (in millions)19182023
Fit a trend line by graphical method.
Maharashtra MsbshseMaharashtra HSC (MSBSHSE) Board 2023Subjective· 3mImportance★★★★★
64% · 16/25 Questions
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Take years on the xx-axis and subscribers on the yy-axis, plot the eight points, and draw a single straight freehand line passing evenly through the middle of the scatter; it slopes upward, showing a steadily increasing trend.

Data (No. of subscribers, in millions): 1976=121976{=}12, 1977=111977{=}11, 1978=191978{=}19, 1979=171979{=}17, 1980=191980{=}19, 1981=181981{=}18, 1982=201982{=}20, 1983=231983{=}23.

Method (graphical / freehand):

  1. Choose the axes. Mark the years 19761976–19831983 on the horizontal (xx) axis and the number of subscribers (in millions) on the vertical (yy) axis with a suitable scale (e.g. 11 big division =5= 5 million).
  2. Plot the points. Plot the eight ordered pairs (1976,12),(1977,11),(1978,19),(1979,17),(1980,19),(1981,18),(1982,20),(1983,23)(1976,12), (1977,11), (1978,19), (1979,17), (1980,19), (1981,18), (1982,20), (1983,23) and join them to see the actual (irregular) series.
  3. Draw the freehand trend line. Draw a single smooth straight line by hand through the middle of these points so that it lies as evenly as possible among them (roughly equal scatter above and below). It is not required to pass through any particular point. …

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