Calculating Correlation Coefficient Using a Graphing Calculator

This lesson teaches how to calculate the correlation coefficient using a graphing calculator. It reviews the conditions for using a linear correlation model, explains residuals and the best fit line, and provides step-by-step instructions for using a graphing calculator to calculate the correlation coefficient. The lesson also covers creating scatterplots and performing linear regression, concluding with an interpretation of the results.

What are the three conditions that must be satisfied before using the linear correlation model?

• Two qualitative variables, a linear scatterplot, and outliers

• Two quantitative variables, a linear scatterplot, and no outliers

• Two qualitative variables, a non-linear scatterplot, and outliers

• Two quantitative variables, a non-linear scatterplot, and outliers

What does a correlation coefficient closer to 1 indicate?

• A strong negative correlation

• No correlation

• A strong positive correlation

• A weak negative correlation

What is the purpose of minimizing the squares of residuals?

• To find the line that has the most outliers

• To find the line that is closest to zero

• To find the line that minimizes the distance from the points

• To find the line that maximizes the distance from the points

Which menu option on a graphing calculator is used to calculate the correlation coefficient?

• Graph

• Statistics

• Geometry

• Algebra

What is the correlation coefficient rounded to the nearest hundredth in the example provided?

• 0.90

• 0.87

• 0.88

• 0.89

What is the form of the equation for the line of best fit in linear regression?

• y equals a plus bx

• y equals mx plus b

• y equals ax squared plus bx plus c

• y equals b plus ax

What does the slope of the line of best fit represent in the context of the Monopoly example?

• The number of spaces from Go

• The total cost of the property

• The decrease in cost per space

• The increase in cost per space