Understanding Correlation Coefficients and Scatter Plots

The video tutorial explains how to match scatter plots with their corresponding correlation coefficients. It begins with an overview of the task and a review of the correlation coefficient, which ranges from -1 to +1. A positive coefficient indicates an increasing linear relationship, while a negative one indicates a decreasing relationship. The tutorial then analyzes four scatter plots, sketching lines to represent data trends and determining the best correlation coefficients based on the scatter and slope of the plots. The video concludes with a summary of the analysis and the selected coefficients.

What is the range of values for the correlation coefficient?

• 0 to 1

• -1 to 0

• -1 to 1

• 0 to 100

If a correlation coefficient is positive, what does it suggest about the relationship?

• No relationship

• A positive increasing linear relationship

• A decreasing linear relationship

• A non-linear relationship

What does a correlation coefficient close to zero indicate about the data?

• The data is non-linear

• The data has a perfect linear relationship

• The data is more scattered

• The data is tightly clustered

For a scatter plot with a positive slope, which correlation coefficient is most appropriate?

• 0.86

• -0.89

• 0.17

• -0.16

What does a negative slope in a scatter plot indicate about the correlation coefficient?

• It is undefined

• It is negative

• It is zero

• It is positive

Which correlation coefficient would be suitable for a scatter plot with a negative slope and less scatter?

• -0.89

• 0.17

• 0.86

• -0.16

What is the correlation coefficient for a scatter plot that is very scattered but shows a decreasing trend?

• -0.16

• 0.17

• -0.89

• 0.86

For a scatter plot that is scattered but shows an increasing trend, which correlation coefficient is appropriate?

• 0.86

• -0.16

• -0.89

• 0.17

What does a correlation coefficient of -0.16 suggest about the scatter plot?

• The data is scattered with no trend

• The data is tightly clustered with a negative trend

• The data is scattered with a negative trend

• The data is tightly clustered with a positive trend

Which correlation coefficient would indicate a strong positive linear relationship?

• -0.16

• -0.89

• 0.86

• 0.17