Langcauon, judella y. correlation

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Page 1: Langcauon, judella y. correlation

CORRELATION

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CORRELATION

- The test used in measuring the degree of relationship between two variables.

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DEGREES ofCORRELATION

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DEGREES OF CORRELATION

1. Perfect correlation (positive or negative)

2. Some degree of correlation (positive or negative)

3. No correlation

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CORRELATIONin DIAGRAM FORM

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PERFECT POSITIVE CORRELATION

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SOME POSITIVE CORRELATION

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NO CORRELATION

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SOME NEGATIVE CORRELATION

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PERFECT NEGATIVE CORRELATION

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CORRELATION INTERPRETATION GUIDE

± 1.00± 0.75 - ± 0.99± 0.50 - ± 0.74± 0.25 - ± 0.49± 0.01 - ± 0.24

0.00

Perfect correlationVery high correlation

High correlationModerately small correlation

Very small correlationNo correlation

CORRELATION INTERPRETATION

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CORRELATIONBetweenINTERVALVARIABLES

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PEARSON r

*

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85908779758088858680

80898486798690908786

123456789

10

STUDENTGRADE IN MATH GRADE IN

SCIENCE

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85908779758088858680

80898486798690908786

7 2258 1007 5696 2415 6256 4007 7447 2257 3966 400

6 4007 9217 0567 3966 2417 3968 1008 1007 5697 396

6 8008 0107 3086 7945 9256 8807 9207 6507 4826 880

x2y xyx y2

835 857 69 925 73 575 71 649*

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3.2: Linear Correlation Measure the strength of a linear relationship between two variables. As x increases, no definite shift in y: no correlation. As.

3.2: Linear Correlation Measure the strength of a linear relationship between two variables. As x increases, no definite shift in y: no correlation. As.

The correlation between two scores X and Y equals 0.8. If both the X scores and the Y scores are converted to z-scores, then the correlation between z-scores and z-scores for Y would

The correlation between two scores X and Y equals 0.8. If both the X scores and the Y scores are converted to z-scores, then the correlation between z-scores and z-scores for Y would

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Correlation – Recap Correlation provides an estimate of how well change in ‘ x ’ causes change in ‘ y ’. The relationship has a magnitude (the r value)

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1 9-2 / 9.3 Correlation and Regression. 2 n xy - ( x)( y) n( x 2 ) - ( x) 2 n( y 2 ) - ( y) 2 r = Definition Linear Correlation Coefficient.

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1 Forecasting Correlation and Covariance with a Range-Based Dynamic Conditional Correlation Model Ray Y Chou Institute of Economics Academia Sinica Nathan.

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Simple Linear Regression. Correlation Correlation ( ) measures the strength of the linear relationship between two sets of data (X,Y). The value for.

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