Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Index Numbers and Time Based Data

Question:

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

Options:

46.18

45.18

48.18

50.18

Correct Answer:

46.18

Explanation:

The correct answer is Option (1) → 46.18 **

Given trend equation:

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

For year 2004:

$x - 2003 = 1$

So,

$y = 45.143 + 1.036(1)$

$y = 45.143 + 1.036$

$y = 46.179$

The trend value for the year 2004 is 46.179.