Question 25 of 25
Q.
Following data shows the number of boxes of cereal sold in years 1977 to 1984.
| Year | 1977 | 1978 | 1979 | 1980 | 1981 | 1982 | 1983 | 1984 |
|---|---|---|---|---|---|---|---|---|
| No. of boxes in ten thousand | 1 | 0 | 3 | 8 | 10 | 4 | 5 | 8 |
| Fit a trend line to the above data by graphical method. |
Maharashtra MsbshseMaharashtra HSC (MSBSHSE) Board 2026Subjective· 3mImportance★★★★★
100% · 25/25 Questions
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Start your 14-day free trial to unlock the full solution →Plot (year, boxes) and draw one smooth freehand line balancing the points above and below it; the fitted line rises from about 1–2 (ten-thousands) near 1977 to about 7–8 near 1984, i.e. an increasing trend.
Data (boxes sold, in ten-thousands):
| Year | 1977 | 1978 | 1979 | 1980 | 1981 | 1982 | 1983 | 1984 |
|---|---|---|---|---|---|---|---|---|
| Boxes | 1 | 0 | 3 | 8 | 10 | 4 | 5 | 8 |
Graphical (freehand) method — procedure:
- Take years on the X-axis and the number of boxes (ten-thousands) on the Y-axis, choosing a suitable scale (e.g. 1 unit = 1 year on X, 1 unit = 1 ten-thousand on Y).
- Plot the eight points , , , , , , , and join them to see the actual (fluctuating) series.
- Draw a single smooth freehand straight/curved line through the scatter so that it moves evenly among the points — roughly as many points lie above the line as below it, and the line ignores the short-term ups and downs. …
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