+1.00 0.00 perfect negative correlation perfect positive correlation non-existent correlation...

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-1.00 +1.00 0.00 Perfect Negative Correlation Perfect Positive Correlation Non-Existent Correlation Imperfect Negative Correlation Imperfect Positive Correlation Bivariate Correlation A Measure of Relationship

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Page 1: +1.00 0.00 Perfect Negative Correlation Perfect Positive Correlation Non-Existent Correlation Imperfect Negative Correlation Imperfect Positive Correlation

-1.00 +1.000.00

Perfect NegativeCorrelation

Perfect PositiveCorrelation

Non-ExistentCorrelation

Imperfect NegativeCorrelation

Imperfect PositiveCorrelation

Bivariate CorrelationA Measure of Relationship

Page 2: +1.00 0.00 Perfect Negative Correlation Perfect Positive Correlation Non-Existent Correlation Imperfect Negative Correlation Imperfect Positive Correlation

The correlation coefficient (r)is an index that describes the extent to which two sets of dataare related; it is a measure of the relationship between two

variables and ranges in values between -1.00 and +1.00, inclusive.

The sign indicates the direction of the relationship,where a plus (+) indicates a positive relationship,

and a negative (-) indicates a negative relationship.The absolute value of the coefficient indicates the magnitude of the relationship.

Bivariate CorrelationA Measure of Relationship

A perfect positive (direct) correlation coefficient is +1.00.A positive relationship indicates that as one score goes up, the other

score goes up – or – as one score goes down, the other score goes down.That is, the value on one variable follows the value on the other.

A perfect negative (inverse) correlation coefficient is -1.00.A negative relationship indicates that as one score goes up, the other score goes down.

When there is no relationship between two variables –the correlation coefficient is 0.00 (zero).

All other possible values (i.e., excluding +1.00, -1.00, and 0.00)are considered imperfect relationships (both positive and negative).

Page 3: +1.00 0.00 Perfect Negative Correlation Perfect Positive Correlation Non-Existent Correlation Imperfect Negative Correlation Imperfect Positive Correlation

Correlations

1 .878** .725** .793** .854**

. .000 .000 .000 .000

20 20 20 20 20

.878** 1 .857** .850** .980**

.000 . .000 .000 .000

20 20 20 20 20

.725** .857** 1 .722** .811**

.000 .000 . .000 .000

20 20 20 20 20

.793** .850** .722** 1 .865**

.000 .000 .000 . .000

20 20 20 20 20

.854** .980** .811** .865** 1

.000 .000 .000 .000 .

20 20 20 20 20

Pearson Correlation

Sig. (2-tailed)

N

Pearson Correlation

Sig. (2-tailed)

N

Pearson Correlation

Sig. (2-tailed)

N

Pearson Correlation

Sig. (2-tailed)

N

Pearson Correlation

Sig. (2-tailed)

N

BASELINE

COMEDY

MUSIC

NATURE

MEDITATE

BASELINE COMEDY MUSIC NATURE MEDITATE

Correlation is significant at the 0.01 level (2-tailed).**.

Lower Diagonal (LD)

Upper Diagonal (UD)

Bivariate CorrelationA Measure of Relationship

Lowest/Weakest

Highest/Strongest

Page 4: +1.00 0.00 Perfect Negative Correlation Perfect Positive Correlation Non-Existent Correlation Imperfect Negative Correlation Imperfect Positive Correlation

Coefficient of Determination (r squared: r2)

VariableX

VariableY

X Yr2

r = 0.50r2 = 0.25

The proportionof the total

variance in Ythat can be

associated withthe variance

in X.