Correlation Coefficient and Causation

The measure of the strength and direction of a linear relationship

• Interpolation

• Extrapolation

• Correlations Coefficient

• Residual

As x increases, y increases

• correlation coefficient

• causation

• positive correlation

• negative correlation

The data slightly resembles a line but is more spread out

• Strong Correlation

• Weak Correlation

• No Correlation

• Correlation

Estimate the correlation coefficient for this scatterplot.

• r = 1.2

• r = 0.89

• r = 0

• r = -0.89

The scatter plot shows the number coffee shops in different cities and the number of violent crimes. Which of the following is NOT true?

• A) As the number of coffee shops increase, violent crimes appears to increase.

• B) The line of best fit (regression line) shows a positive correlation

• C) The data has a positive correlation coefficient

• D) An increase in coffee shops causes an increase in violent crimes

Tags

TEKS.MATH.9-12.VI.C.2

TEKS.MATH.8.11A

Derrick thinks playing video games results in him doing more work. His roommate thinks otherwise. Calculate the correlation coefficient, r, of the data set. Round to THREE decimal places.

Mathematical Equivalence

ON

Determine the Correlation Coefficient and decide whether it is weak, moderate, or strong.

• 0.07 weak

• -0.26 weak

• -0.26 moderate

• 0.07 strong

What is an important thing to remember about correlation and causation?

• does

• will sometimes

• will always

• should

• could

• does not

Estimate the correlation coefficient for this scatterplot.

• r = -0.9

• r = 1

• r = 0.9

• r = -1

As x increases, y increases

• A) correlation coefficient

• B) causation

• C) positive correlation

• D) negative correlation