Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Index Numbers and Time Based Data

Question:

In the equation of trend line yt = a + bx, a and b represent:

Options:

the mean of y and the slope of trend line respectively

the slope of trend line and the mean of y respectively

the mean of xy and the slope of tend line respectively

the slope of trend line and the mean of x respectively

Correct Answer:

the mean of y and the slope of trend line respectively

Explanation:

The correct answer is Option (1) - the mean of y and the slope of trend line respectively

$y_t = a + bx$

$a \;\Rightarrow\; \text{intercept, which represents mean of } y \text{ (when } x=0 \text{ in coded data)}$

$b \;\Rightarrow\; \text{slope of the trend line}$

The correct answer is: the mean of y and the slope of trend line respectively.