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Chapter 3: Correlation Transformation Investigation.

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Presentation on theme: "Chapter 3: Correlation Transformation Investigation."— Presentation transcript:

1 Chapter 3: Correlation Transformation Investigation

2 Find the Correlation Height in Feet 5.56.05.256.255.756.05.755.55.75 Weight in pounds 150180138191172181168148172 R = 0.97

3 Find the Correlation Height in Inches 667263756972696669 Weight in pounds 150180138191172181168148172 R = 0.97 Height in Feet 5.56.05.256.255.756.05.755.55.75 Weight in pounds 150180138191172181168148172

4 Find the Correlation…The person measuring height was off by 2 inches. Each person is actually 2 inches shorter than reported previously. Height in Inches 667263756972696669 Weight in pounds 150180138191172181168148172 R = 0.97 Height in Inches 647061736770676467 Weight in pounds 150180138191172181168148172

5 Find the Correlation…The scale was incorrect; each person is actually 5 pounds heavier than previously reported. Height in Inches 667263756972696669 Weight in pounds 150180138191172181168148172 R = 0.97 Height in Inches 667263756972696669 Weight in pounds 155185143196177186173153177

6 Find the Correlation…The scale was incorrect; each person is actually 5 pounds heavier than previously reported. Height in Inches 667263756972696669 Weight in pounds 150180138191172181168148172 R = 0.97 Height in Inches 667263756972696669 Weight in pounds 155185143196177186173153177

7 Why?! Since r is calculated using standardized values (z-scores), the correlation value will not change if the units of measure are changed (feet to inches, etc.) Adding a constant to either x or y or both will not change the correlation because neither the standard deviation nor distance from the mean will be impacted.

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