Fit a trend line to the following data by the method of least squares. Predict the value for the year 2012.
Years 2001 2002 2003 2004 2005
Output 105 108 111 117 123
(tonnes)

163.7

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161.1

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164.8

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165.3

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Solution

The correct option is A 163.7
Trend Equation $Y_{t}$ =a + bx
For calculating the values of a and b, we may use the following equations -
$\sum Y = n a + b \sum X$
$\sum X Y = a \sum x + b \sum x^{2}$
Substituting the values given in the question you can get the trend values and by applying the value of X in the Trend Equation you will get the answer.

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2001 - 1

2002 - 2

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Fit a trend line to the following data by the method of least squares. Predict the value for the year 2012.Years 2001 2002 2003 2004 2005Output 105 108 111 117 123(tonnes)

Fit a trend line to the following data by the method of least squares. Predict the value for the year 2012.
Years 2001 2002 2003 2004 2005
Output 105 108 111 117 123
(tonnes)