Question

A scatter plot is shown:

A scatter plot is shown. Data points are located at 0 and 0, 1 and 0.25, 2 and 1, 3 and 2, 4 and 3, 5 and 4, 5.5 and 5, 6 and 6, 6.4 and 7, 6.7 and 7.8, 7 and 9.

What type of association does the graph show between x and y?

Linear positive association
Nonlinear positive association
Linear negative association
Nonlinear negative association

Answer 1

The correct answer is 2.

Answer 2

The correct option is 2.

Explanation:

From the given graph it is noticed that the data points are located at (0,0), (1,0.25), (2,1), (3,2), (4,3), (5,4), (5.5,5), (6,6), (6.4,7), (6.7,7.8) and (7,9).

The rate of change from first two data points is

`m_1=(y_2-y_1)/(x_2-x_1)=(0.25-0)/(1-0)=0.25`

The rate of change from next two data points is

`m_2=(2-1)/(3-2)=1`

`m_1\\eq m_2`

The rate of change it not constant, therefore the given data points are non linear.

The value of y increases as the value of x-increases. It means there is a positive relation between x and y.

Therefore the graph represent a Nonlinear positive association between x and y. Option 2 is correct.