
Concept explainers
a.
To fill: The blank in the statement “When two variables have a high
a.

Answer to Problem 1OE
The complete statement is “When two variables have a high
Explanation of Solution
Given information:
The statement “When two variables have a high
Consider the provided statement “When two variables have a high
When the relationship between two data sets is to be analyzed
Provided two data sets outside temperature and heating bill. Now these two data sets are related as when outside temperature is low use of electrical appliances like air conditioners and fans are not used whereas when temperature is high use of such appliances increases and so the heating bill also amounts more.
For example: let x denote the outside temperature and y denote heating bill.
The scatter plot of the data is provided below,
It is observed that there is a positive relationship between x and y .
Therefore, the scatter plot between outside temperature and heating bill show a positive relationship.
Thus, the complete statement is “When two variables have a high positive correlation, one variable increases as the other variable increases.”
b.
To fill: The blank in the statement “When two variables have a high
b.

Answer to Problem 1OE
The complete statement is “When two variables have a high
Explanation of Solution
Given information:
The statement “When two variables have a high
Consider the provided statement “When two variables have a high
When the relationship between two data sets is to be analyzed scatter plot is used.
Consider the ordered pairs that are provided below,
Plot the ordered pairs on the Cartesian plane.
It is observed that as the value of x increases the value of y decreases. Points seems to be collinear.
Therefore, there is a high negative correlation between x and y .
Thus, the complete statement is “When two variables have a high negative correlation, one variable decreases as the other variable increases.”
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Algebra and Trigonometry: Structure and Method, Book 2
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