
Concept explainers
To Describe:
The strength, and the direction of the
Moderate
Given:
The scatter plot of a data set:
Concepts Used:
When points on the scatter plot of a dataset are clustered along a straight line, then the data is said to have linear correlation.
The collective nearness of these points to a single straight line indicates the strength of linear correlation. This can be estimated by the width of an oval enclosing all the points tilted along the said straight line. The larger the width, the lesser is the strength of the linear correlation.
If the value of
Calculations:
Draw an oval enclosing the points on the data.
Interpretation:
The oval enclosing the points is tilted along a straight line, indicating linear correlation.
The oval‘s width is about one third of its length. Thus, the strength of correlation is moderate.
The oval is tilted along a line with negative slope, thus the direction of linear correlation is negative.
Conclusion:
The given scatter plot represent a data set with moderate negative linear correlation.
Chapter 2 Solutions
EBK PRECALCULUS:GRAPHICAL,...-NASTA ED.
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