L6: correlation & simple regression Flashcards
(15 cards)
sample co-efficient r
-1 ≤ r ≤ 1
positive correlation and r
r > 0
negative correlation and r
r < 0
zero correlation and r
r ≈ 0
r closer to +1 line shape
straight w positive slope
r closer to -1 shape
straight line w negative slope
correlation coefficient variables X and Y
doesn’t matter which is which
spurious correlation
variables (e.g. ice-cream sales & crime rates) closely correlated, but not causally linked w each other. (hot temperatures) 3rd variable affects both variables separately. Failing to account for 3rd = research biases
simple regression dependent variable
Y
simple regression independent variable
X
regression measures & explains
effect of X on Y, explanatory variables that influence Y
error (ei)
vertical distance between observation Yi and predicted Y hat I -> [Yi - Y hat I]