Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Index Numbers and Time Based Data

Question:

Year (x)

2011

2012

2013

2014

2015

2016

2017

Sales (in lakh Rs.) (y)

65

68

70

72

75

67

73

If $y = 70+ 0.964(x-2014)$ be a straight line trend fitted by the method of the least squares to the above data, then the trend value for the year 2015 is:

Options:

70.96

72.12

76.12

75.54

Correct Answer:

70.96

Explanation:

The correct answer is Option (1) → 70.96

Given trend equation: $y = 70 + 0.964(x - 2014)$

For the year 2015, $x = 2015$:

$y = 70 + 0.964 (2015 - 2014) = 70 + 0.964 * 1 = 70.964$