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:
| Years | 1976 | 1977 | 1978 | 1979 |
|---|---|---|---|---|
| No. of subscribers (in millions) | 12 | 11 | 19 | 17 |
| Years | 1980 | 1981 | 1982 | 1983 |
| No. of subscribers (in millions) | 19 | 18 | 20 | 23 |
| Fit a trend line by graphical method. |
Maharashtra MsbshseMaharashtra HSC (MSBSHSE) Board 2023Subjective· 3mImportance★★★★★
64% · 16/25 Questions
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Start your 14-day free trial to unlock the full solution →Take years on the -axis and subscribers on the -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): , , , , , , , .
Method (graphical / freehand):
- Choose the axes. Mark the years – on the horizontal () axis and the number of subscribers (in millions) on the vertical () axis with a suitable scale (e.g. big division million).
- Plot the points. Plot the eight ordered pairs and join them to see the actual (irregular) series.
- 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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