Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Index Numbers and Time Based Data

Question:

For a given data of 5 observations $∑y= 311, ∑x^2 = 10$ and $∑xy = 90.$ The equation of the trend line

Options:

$y_t = 62.2+9x$

$y_t = 9+62.2x$

$y_t = 31.1+18x$

$y_t = 18+31.1x$

Correct Answer:

$y_t = 62.2+9x$

Explanation:

The correct answer is Option (1) → $y_t = 62.2+9x$

The equation of the trend line is,

$y=a+bx$

$=\frac{∑y}{n}+\frac{∑xy}{x^2}x$

$=\frac{311}{5}+\frac{90}{10}x$

$=62.9+9x$