Correlation Coefficient Practice Problems

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.

The relationship ship between a woman's show size and length of her foot, in inches, is given in the table.

Calculate the line of best fit using the graphing calculator.

• a = .25 and b = 7.75

• y = .25x + 7.75

• r = 1

• y = ax + b

As shown in the table, a person's target heart rate during exercise changes as the person gets older. Use the graphing calculator to find the correlation coefficient (r).

• -0.999

• -0.664

• 0.998

• 1.503

What is the correlation coefficient of the data characteristics shown?

• -.928

• .928

• .861

• -.861

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

• -.851

• -.162

• 0.211

• 0.905

The points in the scatter plot show the ages of cars (x) and their price in dollars (y). What could you conclude about the relationship of the data?

• Age and price have no correlation.

• Age and price have a weak positive relationship.

• Age and price have a weak negative relationship.

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

• -1.07

• -0.89

• -0.14

• 0.92

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

• 0.89

• 0.34

• 1.04

• 0.01

The relationship between x, a student's test scores and y, the student's success in school. Based on this information, what could the relationship between the data?

• As the test scores increase, the student's success increases.

• As the test scores increase, the student's success decreases.

• There is no relationship between test scores and student success.

Which calculator output shows the strongest relationship between x and y?

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