Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Index Numbers and Time Based Data

Question:

Based on the following data, answer the question where all symbols have their usual meaning.

Year

(t)

Profit

(in thousand of Rs.) (y)

2001 5
2002 6
2003 6
2004 8
5005 5

If $y_t=a+b(t-2003)$ is the trend line equation then a is equal to :

Options:

3

6

5

2

Correct Answer:

6

Explanation:

The correct answer is Option (2) → 6

The trend line equation is,

$y_t=a+b(t-2003)$

$a=\bar y=\frac{∑y}{n}=\frac{5+6+6+8+5}{5}=\frac{30}{5}=6$