Interpreting the Correlation Coefficient

What type of correlation is represented by a line with a positive slope?

• Cannot be determined

• No correlation

• Negative correlation

• Positive correlation

Which graph typically shows the weakest correlation?

• Graph with points very scattered

• Graph with points slightly scattered

• Graph with points closely forming a line

• Graph with points forming a perfect line

What does a correlation coefficient close to 1 indicate?

• No correlation

• Perfect negative linear relationship

• Weak correlation

• Strong positive linear relationship

What does a correlation coefficient of 0.93 suggest about the data set?

• Moderate positive correlation

• Strong negative correlation

• Strong positive correlation

• No correlation

How do you access the diagnostic feature on a graphing calculator?

• Press 'mode' then 'alpha'

• Press 'second' then 'zero'

• Press 'stat' then 'edit'

• Press 'on' then 'clear'

What is the first step in entering data into a calculator for correlation coefficient calculation?

• Select 'calc' then '4: LinReg'

• Turn on the diagnostic mode

• Clear previous data lists

• Enter values into L1 and L2

After enabling diagnostics, what additional information is displayed when calculating linear regression?

• A and B coefficients only

• R and R-squared values

• Standard deviation

• Mean and median of data sets

What should you do if the calculator's memory is cleared?

• Restart the calculator

• Re-enter all data points

• Re-enable the diagnostic feature

• Nothing, as settings are saved

In the context of the problem, what does a correlation coefficient of 0.99 indicate?

• Weak negative correlation

• Strong positive correlation

• No correlation

• Weak positive correlation

Why is it important to include the variables being compared when interpreting a correlation coefficient?

• To understand the context of the data

• Because it affects the calculation

• To make the calculation easier

• It is not important