Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Index Numbers and Time Based Data

Question:

In a trend line equation $y=a+b(x-\bar{x})$, 'a' is equal to:

Options:

mean of x

mean of y

slope of the trend line

zero

Correct Answer:

mean of y

Explanation:

The correct answer is Option (2) → mean of y

$y = a + b(x - \bar{x})$

$\text{At } x = \bar{x},\ y = a$

$\text{Thus, } a = \bar{y}$

$a = \bar{y}$