Correlation Coefficient Warmup 2

A study compared the number of years of education and a person's annual salary. The correlation coefficient of the data was r = 0.913. Which conclusion can be made using the correlation coefficient?

• There is a strong positive correlation.

• There is a strong negative correlation.

• There is no correlation.

• There is a weak positive correlation.

Answer explanation

The correlation coefficient r = 0.913 indicates a strong positive correlation between years of education and annual salary, meaning as education increases, salary tends to increase as well.

What COULD be the approximate value of the correlation coefficient for the scatter plot?

• -.851

• -.162

• 0.211

• 0.905

Answer explanation

The correlation coefficient of 0.905 indicates a strong positive relationship between the variables in the scatter plot. This suggests that as one variable increases, the other tends to increase as well, making it the correct choice.

Which value of r represents data with a strong negative correlation between two data sets?

• -1.07

• -0.89

• -0.14

• 0.92

Answer explanation

A strong negative correlation is indicated by values close to -1. Among the options, -0.89 is the closest to -1, representing a strong negative correlation, while -1.07 is not a valid correlation coefficient.

Which value of r represents data with a strong positive correlation between two data sets?

• 0.89

• 0.34

• 1.04

• 0.01

Answer explanation

A value of 0.89 indicates a strong positive correlation, meaning as one data set increases, the other tends to increase as well. Values closer to 1 signify stronger correlations, while 0.34, 0.01, and 1.04 do not represent strong positive correlations.

Which graph represents data that has a correlation coefficient close to -1?

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Which scatter plot diagram shows the strongest positive correlation?

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In a science lab, Thelma determined the kinetic energy of an object at various velocities, V, and found the correlation coefficient between kinetic energy and velocity to be 0.872. Which graph shows this relationship?

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