Correlation Coefficient Practice Problems

When the data closely resembles a line

• Strong Correlation

• Weak Correlation

• No Correlation

• Correlation

The data slightly resembles a line but is more spread out

• Strong Correlation

• Weak Correlation

• No Correlation

• Correlation

The measure of the strength and direction of a linear relationship

• Interpolation

• Extrapolation

• Correlations Coefficient

• Residual

What type of correlation does this graph have?

• positive

• negative

• none

• all of the above

Determine the correlation coefficient of the given data.

• - .5477

• .1770

• .8956

• - .9463

Correlation coefficients are:

• A point that does not fit the overall pattern.

• A histogram.

• A numerical measure of the direction and strength of a linear association.

• A graphical display.

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

• -0.999

• -0.664

• 0.998

• 1.503

A study compared the number of cars a person owns and that person’s average yearly salary. It was determined that the relationship between these two quantities was linear and the correlation was 0.37. Which conclusion can be made on the findings of this study?

• There was a weak relationship.

• There was a strong relationship.

• There was no relationship.

• Unpredictable.

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

• -0.86

• -0.50

• 0.89

• 0.07

As x increases, y increases

• correlation coefficient

• causation

• positive correlation

• negative correlation