The following figure shows four graphs. Assume that all four graphs have the sam

Question

The following figure shows four graphs. Assume that all four graphs have the same numerical scales for the two axes.

(a) Which graph shows the strongest relationship between the two variables?

Graph 1, Graph 2 , Graph 3, or Graph 4

(b) Which graph shows the weakest relationship between the two variables?

Graph 1, Graph 2, Graph 3, or Graph 4

(c) In scrambled order, correlation values for these four graphs are -0.9, 0, +0.3, +0.6. Match these correlation values to the graphs.

Graph 1:

Graph 2:

Graph 3:

Graph 4:

Explanation / Answer

From given four graphs we answered following questions:

a) since, graph 2 shows the approximately linear line among all four graphs, we can say that, graph 2 shows the strongest relationship between the two variables.

Answer: Graph 2

b) In graph 3, there is equal vaaue for both variables, so we can say that there is no correlation between these to variables.

Therefore, graph 3 shows the weakest relationship between two variables.

Answer: Graph 3

c) From given corrlation values, we get following match pairs:

Graph 1 : + 0.6

Graph 2 : - 0.9

Graph 3 : 0

Graph 4 : + 0.3

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