Question 1

Match the scatterplots (a)-(d) shown in the image with the following correlation values: $$R = -0.9$$, $$R = 0$$, $$R = -0.5$$, and $$R = 0.6. $$Which plot corresponds to $$R = 0.6$$?

Accepted Answer

Plot (b)

Question 2

Which scatterplot in the image best represents a strong negative linear relationship between $$x$$ and $$y$$?

Accepted Answer

Plot (c)

Question 3

If a scatterplot shows points that are widely scattered with no apparent pattern, which correlation value is most likely represented?

Accepted Answer

$$R = 0$$

Question 4

Which plot in the image would you expect to have the lowest $$R^2$$ value?

Accepted Answer

Plot (d)

Question 5

Suppose you are analyzing the relationship between two variables and obtain a scatterplot similar to plot (a). Which of the following best describes the correlation?

Accepted Answer

Moderate negative

Question 6

If you were to fit a regression line to the data in plot (b), what would you expect the slope to be?

Accepted Answer

Positive and moderate in magnitude

Question 7

Which plot would most likely result in a regression equation with a negative slope?

Accepted Answer

Plot (c)

Question 8

If the correlation coefficient for the data in plot (a) is $$R = -0.5$$, what does this indicate about the relationship between $$x$$ and $$y$$?

Accepted Answer

There is a moderate negative linear relationship.

Question 9

Which plot would be most appropriate to use as an example of 'correlation does not imply causation'?

Accepted Answer

Plot (d)

Question 10

If you calculated the $$R^2$$ value for the data in plot (c), what would you expect?

Accepted Answer

$$R^2$$ would be close to 1

Correlation and Scatterplots: Understanding Relationships Between Variables

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