Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Index Numbers and Time Based Data

Question:

Consider the following data:

Year (x)

2004

2005

2006

2007

2008

2009

2010

Profit (₹)(y)

114

130

126

144

138

156

164

The equation of straight line trend by using least square method is, $y =138.86+7.64 (x-2007)$, then the trend values for the year 2004 is

Options:

115.94

215.94

151.94

111.94

Correct Answer:

115.94

Explanation:

The correct answer is Option (1) → 115.94 **

Trend equation: $y = 138.86 + 7.64(x - 2007)$

For year 2004: $x = 2004$

$y = 138.86 + 7.64(2004 - 2007)$

$y = 138.86 + 7.64(-3)$

$y = 138.86 - 22.92$

$y = 115.94$

The trend value for the year 2004 is 115.94.