AP Statistics Flashcards
(37 cards)
What is Cuss?
Center, unusual, shape, spread
How to solve for IQR?
IQR=Q3-Q1
How to solve for outliers?
Q3+1.5(IQR) and Q1-1.5(IQR)
Resistant to outliers mean…
When the summary statistics is not changed very much when an outlier is removed.
5# summary percentile
min-0%
Q1-25%
median-50%
Q3-75%
max-100%
Formula for Z score
Z=x-mean/SD
68% of values lie within…
1 SD of the mean
90% of the values lie within…
1.645 SD of the mean
95% of values lie within…
1.96 (about 2 SD) of the mean
99.7% (almost all) of the values lie within…
3 SD of the mean
Describe patterns
- Identify variables and cases (each point represents a case)
- Describe the shape of the relationship (linearity, clusters, outliers)
- Describe the trend (up, down, positive, negative)
- Describe the strength of the relationship
- Dose the pattern generalize to other cases?
- Are there plausible explanations for the pattern? is there a third or lurking variable that might be causing both?
*5 and 6 may not always apply
Predictor
explanatory variable, x-value
Predicted
response variable, y-value
Extrapolation
making a prediction when value of x falls outside the range of actual data
Interpolation
making a prediction when value of x falls inside the range of actual data (this is safer)
Predicted Error
The difference between the observed value of Y and the predicted value of Y or y hat
How do you get residuals?
y-y hat
How do you get Predicted Error?
y=mx+b
What is Least Square Regression Line?
It’s the regression line for which the sum of squared errors (residuals) or SSE is as small as possible, SSE= (y-y hat) ^2
How do you interpret r^2?
the __% change in y explained by change in x (+ context)
How to calculate r^2?
- SST=Sum of Square Total SSE= sum of Square error
r^2= SST-SSE/SST
On calculator it is LinReg
How to make a Residual Plot?
A scatter plot of residuals, y-y hat versed predictor values, X.
1. Highlight L3 and type in the Regression Lin
2. Then Highlight L4 and type L2-L3
3. Graph (L1,L4)
How to calculate Exponential Relationship?
L1-x
L2-y
L3-ln(L2)
Population gose with…
parameter