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Suppose the correlation coefficient between two variables is found to be 0.83. Which of the following...

Suppose the correlation coefficient between two variables is found to be 0.83. Which of the following statements are true?

small values of one variable are associated with large values of the other variable

the relationship between the variables is weak

a scatter plot of the points would show an upward trend

low values of one variable tend to be paired with low values of the other variable

there is a strong positive curvilinear relationship between the variables

there is a causal relationship between the variables

there is a strong suggestion of a positive linear association between the variables
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Answer #1

Following statements are true

A scatter plot of the points would show an upward trend.

low values of one variable tend to be paired with low values of the other variable.

there is a strong suggestion of a positive linear association between the variables.

Because the correlation coefficient is positive, scatter plot shows upward trend, there is linear association between variables. And 0.83 is high enough coefficient to show strong positive association not as strong as as correlation coefficient 1 will show. Low value of one variable will be associated with low value of other variable.

Scatter plot will be like this

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