Exploring Correlation Coefficients in Scatter Plots

What is the primary purpose of using a scatter plot in data analysis?

• To create a visual representation of narrative data

• To calculate the mean and median of the dataset

• To determine the relationship between two quantitative variables

• To display categorical data

What does the correlation coefficient measure in a dataset?

• The variance of one variable relative to another

• The mean deviation of data points

• The skewness of the data distribution

• The strength of the relationship and fit of the trend line

What R value indicates a perfect positive correlation?

• 0.5

• -1

• 1

• 0

Which R value range indicates a high negative correlation?

• 0.8 to 0.9

• -0.8 to -0.9

• 0 to 0.5

• -0.1 to 0

What type of correlation does an R value of -1 signify?

• Low negative correlation

• Perfect positive correlation

• Perfect negative correlation

• No correlation

What does an R value close to 0 indicate about the dataset?

• Perfect positive correlation

• Low positive correlation

• High negative correlation

• No correlation

In a scenario with a low positive correlation, what might the R values look like?

• Around -0.5 to -0.55

• 1 or close to 1

• Around 0.5 to 0.55

• 0 or close to 0

How is the R value used in the context of a TI-83 or TI-84 calculator?

• To determine the line of best fit

• To check the strength of the correlation

• To set the graphing parameters

• To calculate the mean of the data

What should you ensure is enabled on your calculator when calculating the R value?

• Diagnostics

• Statistical plots

• Graphing mode

• Programming mode

Which R value would likely indicate a high positive correlation?

• 0.97

• -0.97

• 0

• -1