If for the following data:
| Year (x) | 2000 | 2001 | 2002 | 2003 | 2004 | 2005 | 2006 |
| Production (in tonnes) (y) | 40 | 45 | 46 | 42 | 47 | 50 | 46 |
the equation of the straight line trend is \(y = 45.143 + 1.036(x - 2003)\), then the trend value for the year 2004 is
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 46.18
The trend value for a year is read from the trend equation, not from the table. Putting \(x = 2004\), so that \(x - 2003 = 1\):
\(y = 45.143 + 1.036 \times 1\)
\(= 46.179 \approx 46.18\)