Exam 2 Flashcards
correlation
measures and describes a relationship between two variables
linear vs curvilinear
linear: forms a line
curvilinear: has a curve
* to determine do a scatterplot
positive vs negative relationship
positive: has an upward slope, direct (when Y increases X increases)
negative: has a downward slop, inverse (when Y increases X decreases)
scatterplot
graph used for correlation that graphs all points in a data
correlation coefficient (pearson r)
specific measure of a correlation
from -1 to 1
pearson r formula
SP/ sqrt SSxSSy
coefficient of determination (r^2)
measures the percentage of variability in one variable which is determined by its relationship with the other variable
what is another word for the coefficient of determination?
effectsize
what are the ranges of effectsize?
small: r=10 -> r2= 1%
mid: r=30 -> r2= 9%
large: r=50 -> r2= 25%
spearman rho (rs)
used for ordinary scaling
spearman rho formula
rs= 1- (6 sigma D1^2 / N^3 - N)
where:
D1= Rank B - Rank A * sum should equal 0
why does correlation not imply cuasation
we are only observing the relationship between the two variables we are not influencing either of them
* there can always be a third variable that is influencing them
pearson r
measures the degree of a straight line
- only for interval and ratio scales
define regression
regression focuses on using the relationship for the purpose of PREDICTION
- linear relationship between 2 variables
- paired scores
define regression line
we can predict a score of one variable (Y) based on our knowledge of the other (X)