Coefficient of Determination Practice

A study compared the number of years of education and a person's annual salary. The correlation coefficient of the data was r = 0.913. What is the coefficient of determination?

• 0.834

• 0.887

• 0.457

• 0.913

The relationship ship between a woman's show size and length of her foot, in inches, is given in the table.

Calculate the coefficient of determination

• 1.5

• 0.75

• 1

• 0.5

As shown in the table, a person's target heart rate during exercise changes as the person gets older. Use the graphing calculator to find the coefficient of determination.

• -0.999

• -0.664

• 0.998

• 1.503

What is the coefficient of determination for the data characteristics shown?

• -.928

• .928

• .861

• -.861

What COULD be the approximate value of the correlation coefficient for the scatter plot?

• -.851

• -.162

• 0.211

• 0.905

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

If the coefficient of determination is 0.876, what percent of the variation is explained?

• 56%

• 88%

• -67%

• 92%

When if ever, would the correlation coefficient (r) be equal to the coefficient of determination (r squared)?

• when the correlation is perfect (r=1)

• they never will

• when the correlation is somewhat strong

• when there exists no correlation

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

CCSS.HSS.ID.C.9

Which calculator output shows the strongest relationship between x and y?

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Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

Which graph represents data that has a correlation coefficient close to -1?

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Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

Which scatter plot diagram shows the strongest positive correlation?

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Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8