What would the scatter plot show for data that produce a Pearson correlation of r = +0.88?
a. Points clustered close to a line that slopes up to the right
b. Points clustered close to a line that slopes down to the right
c. Points widely scattered around a line that slopes up to the right
d. Points widely scattered around a line that slopes down to the right

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Answer:

The correct option is (a).

Step-by-step explanation:

The Pearson's correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.

Positive correlation is an association amid two variables in which both variables change in the same direction.  A positive correlation occurs when one variable declines as the other variable declines, or one variable escalates while the other escalates.

Negative correlation is a relationship amid two variables in which one variable rises as the other falls, and vice versa.

In this case, it is provided that the Pearson correlation coefficient is, r = +0.88.

A correlation coefficient between ±0.70 to ±1.00 are considered as strong positive correlation.

The scatter plot for correlation coefficient between +0.70 to +1.00 shows:

  • A straight and upward moving trend of the point
  • A straight line can be formed using these points that slopes up to the right
  • Points clustered close to this line that slopes up to the right

Thus, the correct option is (a).