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O PENING N OTES : S CATTER P LOTS A. R ELATIONSHIPS OF VARIABLES B. S CATTER P LOTS D ISPLAY C. I DENTIFYING CORRELATIONS

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O PENING - R ELATIONSHIP OF V ARIABLES Which of the following pairs do you think have a cause-and-effect relationship? 1. Height and age 2. Hand span and address 3. Grade average and shoe size 4. Temperature and date

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V OCABULARY Scatter plot Positive correlation Negative correlation No correlation

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D EFINITIONS Scatter Plot: A scatter plot is a data display which shows if two sets of data or variables are related- also known as correlation.

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There are three ways to describe data displayed in a scatter plot. Positive Correlation The values in both data sets increase at the same time-x and y. Negative Correlation The values in one data set increase (x) as the values in the other set decrease (y). No Correlation The values in both data sets show no pattern- scattered.

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Discuss if the scatter plot shown has a positive correlation, negative correlation, or no correlation. Explain. The graph shows that as area increases, population increases. So the graph shows a positive correlation between the data sets.

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Discuss if the scatter plot shown has a positive correlation, negative correlation, or no correlation. Explain. The graph shows that as the year increases, number of tornados increases. So the graph shows a positive correlation between the data sets.

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What would the scatter plot look like based on the variables below? What type of correlation would it be? The number of vacation days is not related to height. So there would not be any correlation between these two variables. 1. Height and number of vacation days

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What would the scatter plot look like based on the variables below? What type of correlation would it be? There would not be any correlation between these two variables. 2. Eye color and age

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Ticket Out the Door Write positive, negative, or no correlation to describe this relationship. Explain negative correlation; as age increases, attendance decreases.

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