Correlation Properties

The sign of the correlation coefficient, r, gives the direction of the association.

• True
• False

Tags

CCSS.HSS.ID.C.8

Correlation is always between 0 and 1.

• True
• False

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

Correlation is commutative. You can switch the explanatory (x) variable with the response(y) variable and the correlation will not change.

• True
• False

Tags

CCSS.HSS.ID.B.6

Correlation can never equal exactly -1 or 1.

• True
• False

Tags

CCSS.HSF-LE.A.1B

Correlation has no units.

• True
• False

Tags

CCSS.HSF-LE.A.1B

Correlation is based on  z-scores.

• True
• False

Tags

CCSS.HSS.ID.C.8

If we shift or rescale our data, the correlation coefficient (r) will change accordingly.

• True
• False

Tags

CCSS.HSF-LE.A.1B

Correlation only applies to categorical variables.

• True
• False

Tags

CCSS.HSF-LE.A.1B

Correlation measures the strength of only LINEAR relationships. 

• True
• False

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

Outliers have no effect on the correlation.

• True
• False

Tags

CCSS.HSF-LE.A.1B