Exam 2- Influential Observations Flashcards
In regression not all influential points have ….. Residuals
Large
Or influential points may have small residuals
Influential observation
An outlier in either the x or y direction which, if removed, would markedly change the value of the slope and y-intercept
In regression outliers are often but … Influential
Not always
Or not all outliers are influential
In regression the outliers in … Direction are often influential
X
Extrapolation
Predicting for an X value outside the range of observed X values used to obtain the line
Association (correlation r) between explanatory variable x and response variable y , even if strong does not imply ….
Causation
Drawbacks of observational studies
- Cannot systematically change x and observe change in Y
- Cannot randomize
- Cannot conclude causation
To get good evidence of causation do an
Experiment
Supporting causation without experimentation
Smoking and lung cancer -
- strong association
- association consistent across studies
- alleged cause is plausible