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Which graph shows a correlation coefficient closest to -1 ?

Which graph shows a correlation coefficient closest to -1 ?-example-1

1 Answer

5 votes

Answer:

The first graph (topmost graph)

Explanation:

Correlation coefficient of -1: Negative correlation

As variable x (horizontal axis) increases, variable y (vertical axis) should decrease.

Hence, gradient of the graph is negative, sloping downwards as x increases.

Graph 2 is eliminated (positive correlation approximately 1)

Graph 4 is also wrong as there is simply no correlation. (Points are random with no fixed pattern or trend)

Graphs 1 and 3 show negative correlation.

However, for graph 3, several points are not accurate, leading to a straight line not being drawn accurately. (Slightly off) . Correlation of this graph is negative but not closest to -1.

Hence, the first graph is the closest to -1 in terms of correlation coefficient.

User David Wengier
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