Correlations Flashcards
Covarying variables
Two variables are correlated if they co-vary.
Positive or negative.
Drawing correlations
Scatterplots gives information about:
Direction of relationship.
Form of relationship.
Degree of relationship.
Line of best fit
Y= bX + a
b- gradient; every unit increase increases in X, Y increased by b.
a- Y intercept.
Least square error
For every X value we can predict a Y value- known as Y^.
Residual= Y - Y^.
Square these for every X value and add them.
Relationships
Don’t necessarily mean causation.
May be a third+ variable explaining the link- confounding variables that covert the the IV and explain the DV; extraneous variables.
Bidirectional links- DV may cause the IV and vice versa.
Real life example
Huff (1954)- cancer was more common in places where more milk was consumed.
There is a positive correlation.
However this is because the average life expectancy was higher in countries where more milk was consumed.
When to use correlation
When we want to see a relationship.
To explore mechanisms behind effects.
To establish how things are related.
Tests of relationship
Correlation- measures the strength of relations ship between two variables.
Coefficient= r. Between -1 and +1.