Question

Identify the correct statement(s) about the graphs.





Statement P: Graph 1 represents a linear positive association.
Statement Q: Graph 1 represents a linear negative association.
Statement R: Graph 2 represents a linear positive association.
Statement S: Graph 2 represents a linear negative association.

• A. Statements P and R are correct.
• B. Statements Q and S are correct.
• C. Statements Q and R are correct.
• D. Statements P and S are correct.

Answer 1

The correct option is D Statements P and S are correct.

A linear relationship is one that has a line of best fit that can be drawn where most of the points are associated with the line.
To check the linearity of the data given in the graphs, let’s join the given data points.
For Graph 1,



Most of the points of the scatter point can be joined to draw a straight line.
Also, as the x-coordinate increases, the y-coordinate tends to increase.
Hence, it shows a linear and positive association.
Thus, statement R is correct.

Similarly for Graph 2,


Here, most of the points of the scatter point can be joined to draw a straight line.
Also, as the x-coordinate increases, the y-coordinate tends to decrease.
Hence, it shows a linear and negative association.
Thus, statement S is correct.

Hence, option A is the correct answer.