+1 vote
in Class 12 by kratos

For the following data fit a straight line trend and find trend values also estimate the production of 2017.

1 Answer

+1 vote
by kratos
 
Best answer

Let x and y be the year and production

Here x̄ = 2013

From the normal equaiton na + bΣx = Σy

From Σa + bΣx2 = Σxy b =

Since Σx = 90 and

The fitted straight line trend equation is

y = a + bx : ŷ = 90 + 3x

Trend values : (2010) = 90 + 3(-3) = 81

ŷ(2011) = 90 + 3(-2) = 84.

Similarly all remaining trend values can be compated.

Estimation of production for 2017; x = 4

ŷ (2017) = 90 + 3(4) = 102 Tons.

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