AP Stats 3.1 Correlation Coefficient in Scatterplots

What is the definition of correlation coefficient?

• The correlation coefficient measures the strength and direction of the non-linear relationship between two variables.

• The correlation coefficient measures the strength and direction of the relationship between three variables.

• The correlation coefficient measures the strength and direction of the relationship between two variables in a scatter plot.

• The correlation coefficient measures the strength and direction of the linear relationship between two variables.

How do you interpret a positive correlation coefficient in a scatterplot?

• As one variable increases, the other variable tends to decrease.

• There is no relationship between the two variables.

• The correlation coefficient is not significant.

• As one variable increases, the other variable also tends to increase.

How do you interpret a negative correlation coefficient in a scatterplot?

• The negative correlation coefficient indicates a positive relationship between the variables.

• The negative correlation coefficient indicates no relationship between the variables.

• The negative correlation coefficient indicates a random relationship between the variables.

• The negative correlation coefficient indicates an inverse relationship between the variables.

What does a correlation coefficient of 0 indicate in a scatterplot?

• Perfect positive linear relationship

• Weak positive linear relationship

• No linear relationship

• Perfect negative linear relationship

What does a correlation coefficient close to 1 indicate in a scatterplot?

• no relationship

• strong negative linear relationship

• weak positive linear relationship

• strong positive linear relationship

What does a correlation coefficient close to -1 indicate in a scatterplot?

• No relationship

• Strong negative linear relationship

• Weak negative linear relationship

• Strong positive linear relationship

What does a correlation coefficient of 0.5 indicate in a scatterplot?

• Moderate negative linear relationship

• No relationship

• Moderate positive linear relationship

• Strong positive linear relationship

What does a correlation coefficient of -0.8 indicate in a scatterplot?

• Strong positive linear relationship

• Strong negative linear relationship

• No relationship

• Weak positive linear relationship

What is the range of possible values for a correlation coefficient?

• 10 to 100

• -1 to 1

• 0 to 1

• 1 to 10