The number of two wheelers registered (in thousand) in a city in different years is as follows. Use the method of fitting linear equation to these data to obtain the estimates for the number of vehicles registered in the year 2019 and 2020:
| Year | 2012 | 2013 | 2014 | 2015 | 2016 | 2017 |
|---|---|---|---|---|---|---|
| No. of vehicles (thousand) | 69 | 75 | 82 | 91 | 101 | 115 |
OR
Find the trend using five yearly moving averages from the following data of profit (in lakh ₹) of a trader in different years:
| Year | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 | 2017 | 2018 |
|---|---|---|---|---|---|---|---|---|---|
| Profit (Lakh ₹) | 45 | 42 | 54 | 60 | 51 | 72 | 81 | 75 | 69 |
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Start your 14-day free trial to unlock the full solution →Coded : ; ; ; 2019(), 2020(). OR five-year moving averages listed below.
Main part: (even), so code time in steps of 2: for 2012–2017.
| Year | ||||
|---|---|---|---|---|
| 2012 | 69 | -5 | 25 | -345 |
| 2013 | 75 | -3 | 9 | -225 |
| 2014 | 82 | -1 | 1 | -82 |
| 2015 | 91 | 1 | 1 | 91 |
| 2016 | 101 | 3 | 9 | 303 |
| 2017 | 115 | 5 | 25 | 575 |
| Total | 533 | 0 | 70 | 317 |
Trend line: (each unit of = half a year; origin mid-2014.5).
For 2019, ; for 2020, :
OR part — five-yearly moving averages of profit (lakh ₹):
| Year | Profit | 5-year moving total | 5-year moving average (trend) |
|---|---|---|---|
| 2010 | 45 | — | — |
| 2011 | 42 | — | — |
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