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

The trend line equation is $y = 45.143 + 1.036(x - 2003)$ where $y$ represents production in tonnes and $x$ represents the year. The equation is centered around year 2003 as the base year.

For year 2004, substitute $x = 2004$ into the equation:

$y = 45.143 + 1.036(x - 2003)$

$y = 45.143 + 1.036(2004 - 2003)$

$y = 45.143 + 1.036(1)$

$y = 45.143 + 1.036$

$y = 46.179$

Rounding to 2 decimal places gives $y = 46.18$ tonnes.

Therefore, the trend value for the year 2004 is 46.18 tonnes.