Exploring the Correlation Coefficient

If the correlation coefficient is positive, what does it mean?

• There is no relationship between the variables

• As one variable increases, the other also increases

• As one variable increases, the other decreases

• The variables are inversely proportional

What is the correlation coefficient represented by?

• The letter c

• The letter r

• The letter k

• The letter m

What does a scatter plot show?

• The average of two variables

• The difference between two variables

• The relationship between two variables

• The sum of two variables

What does a correlation coefficient close to 1 or -1 indicate?

• A weak correlation

• A strong correlation

• No correlation

• An average correlation

What does a correlation coefficient of -0.6 indicate?

• A weak negative correlation

• A weak positive correlation

• A strong positive correlation

• A strong negative correlation

Which graph would a correlation coefficient of 0.4 match?

• A graph with a strong positive trend

• A graph with a strong negative trend

• A graph with no trend

• A graph with a weak positive trend

What is the first step in calculating the correlation coefficient using a calculator?

• Turning on the diagnostic

• Entering the data into L1 and L2

• Running the linear regression

• Calculating the mean

What does the linear regression function on a calculator provide?

• The mean of the data

• The median of the data

• The line of best fit

• The mode of the data

What is the correlation coefficient for Sanjay's model airplane data?

• 0.9

• 0.756

• 26.6

• 0.341

What does a correlation coefficient of 0.756 indicate?

• A perfect correlation

• A fairly strong correlation

• A very weak correlation

• No correlation