Exploring the Basics of Correlation

What is the primary focus of correlation?

• To measure the central tendency of data

• To determine the cause of changes in variables

• To establish a relationship between variables

• To predict future values of variables

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What does a positive correlation indicate?

• Both variables increase or decrease together

• One variable increases while the other decreases

• There is no relationship between the variables

• Both variables move in opposite directions

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CCSS.HSS.ID.B.5

In a negative correlation, what happens to the variables?

• There is no discernable pattern

• One variable increases while the other decreases

• Both variables decrease together

• Both variables increase together

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What does it mean if a dataset shows no correlation?

• There is a strong linear relationship

• There is no discernable pattern between the variables

• The variables are inversely related

• There is a weak linear relationship

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What is a curvilinear relationship?

• A relationship where variables move in a straight line

• A relationship where variables show a curved pattern

• A relationship with no discernable pattern

• A relationship where one variable causes the other

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CCSS.HSS.ID.B.5

What does a correlation coefficient close to 1 indicate?

• A weak correlation

• A strong correlation

• No correlation

• A curvilinear relationship

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Which correlation coefficient range is considered medium?

• 0 to 0.4

• 0 to -0.4

• 0.5 to 0.8

• 0.8 to 1

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What does a strong positive correlation look like on a graph?

• An upward sloping line with closely packed points

• A downward sloping line

• A scattered pattern

• A horizontal line

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What is the significance of a weak positive correlation?

• Points are closely packed around the line

• Points are spread out around the line

• Variables move in opposite directions

• There is no relationship between the variables

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Why can't we infer causality from correlation?

• Because correlation predicts future values

• Because correlation measures the central tendency

• Because correlation establishes a cause-effect relationship

• Because correlation only shows the strength and direction of a relationship

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