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18.08.2020 •
Mathematics
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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Ответ:
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 pointA straight line can be formed using these points that slopes up to the rightPoints clustered close to this line that slopes up to the rightThus, the correct option is (a).
Ответ: