If the correlation between two variables is close to 0, you can conclude that a scatterplot would show

(a) a strong straight-line pattern.

(b) a cloud of points with no visible pattern.

(c) no straight-line pattern, but there might be a strong pattern of another form.

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Answer:

The correct option is (c).

Step-by-step explanation:

Correlation coefficient is a measure of the strength of the linear relationship between two variables.

It ranges from -1.0 to 1.0.

  • A correlation coefficient closer to 1.0 indicates that there is a strong positive linear relation between the variables.
  • A correlation coefficient closer to -1.0 indicates that there is a strong negative linear relation between the variables.
  • A correlation coefficient closer to 0 indicates that there is no linear relation between the variables. But some other form of relation might exist.

If the correlation between two variables is close to 0, we can conclude that a scatter plot would show no straight-line pattern, but there might be a strong pattern of another form.

Thus, the correct option is (c).

Using correlation coefficients, it is found that the correct option is:

(b) a cloud of points with no visible pattern.

The correlation coefficient between the values is close to 0, which means that there is no pattern of any form, hence, the scatterplot would show a cloud of points, and the correct option is:

(b) a cloud of points with no visible pattern.

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