Exam 2 Content Flashcards
Relationship of r with cov
Divide by product of standard deviations of X and Y to have r on a standardized scale from 0.00 to 1.00
formula for r
Σ(ZxZy)
N-1
How to interpret r?
Strength = 0 to 1.00
Direction = +/-
4 Characteristics of Scatter Plots
- Direction (+/-)
- Strength (0 to 1)
- Form (linear/curvilinear)
- Outliers/unusual features
Problems with r?
Restriction of range = doesn’t give full picture
Heterogeneous subsamples = doesn’t take into account different “weights” that may affect the slope (and r)
When to use rs?
Use when the data is ordinal
Formula for rs
1- (6ΣD2)
n(n<sup>2</sup>-1)
How to interpret rs?
Magnitude, direction, form, outliers & unusual features
Formula for line of regression
yhat=bx+a
b = r(Sy/Sx)
a=ybar+ bxbar
S = square root(Σ(x-xbar)/(n-1)
What is another name for IV?
predictor
What is another name for DV?
criterion
What does r2 give?
The amount of variance in Y (DV) accounted for in X (IV)
Formulae for r2?
r2 in simple regression
SSerror _ = Σ(Yi-Yhat)2_
SStotal = Σ(Yi-Ybar)2
SSregression =Σ(Yhat-Ybar)2
SStotalΣ(Yi-Ybar)2
Problems with linear regression?
Multicollinearity, heteroscedasticity, outliers, and extrapolation
What’s wrong with multicollinearity?
Variance is accounted for twice and not all of it is considered