Unit 3 Test Flashcards
Resistant to outliars
- median
- IQR
- Q1, Q3
Not resistant to outliars
- mean
- range
- standard deviation
- variance
- r
Correlation coefficient
- r
- measures how ‘tight’ points are to a line
-1
Residuals
Difference between the observed value and predicted value
Regression line
y=mx+b
y=b0 + b1x
Slope
- built from the correlation and standard dev’s
* slope: b1 = r Sy/Sx
Interpret slope
sci=34.6+.18days
“For each additional _________, you can expect an increase/decrease of about ____(slope) on your _______”
(“For each additional school day, you can expect an increase of about .18 pts on your science scores”)
Calculate the residual
Actual y - predicted y
Se= standard error
•standard dev of residuals
“For any given _____, you can expect a ______ of y=34.6+.18x, give or take about ____.”
(For any given school days, you can expect a science score of y=34.6 + .18x, give ir take about 4.2 pts)
r^2
•percentage
“Approximately ___% of change in ______ can be explained by the change in _____”
(Approximately 34% of change in science scores can be explained by the change in school days)
Residual plot
- horizontal scatter plot
- no pattern: good line
- pattern: bad
Extrapolation
- Assuming the days continues
* Going outside the domain
Influential scores
- Greatly affect regression equation
- change r^2 and slope drastically
- outliers in x-direction
Outliers
In the y direction
Correction does not equal causation
x never causes y
•lurking variables: causes changes