3.3 Linear Interpolation, Regression Equations And Statistical Diagrams Flashcards
Equation for Q1
(n+1)/4
Equation for Q3
3(n+1)/4
Equation for IQR
Q3-Q1
Outlier equations
Q1
Q1-(1.5xIQR)
Q3
Q3+(1.5xIQR)
Frequency density equation
Frequency = frequency density x class width
Adv and disadv of box plot
Adv
- highlights outliers
- easy to compare data sets
Disadv
- data is grouped into only four categories so some detailed analysis is not possible
Adv and disadv of histogram
Adv
- clearly shows shape of distribution
Disadv
- doesn’t always highlight outliers
- it is possible but not easy to estimate Q1, Q2 and Q3
Adv and disadv of cumulative frequency
Adv
- makes it easy to find the five number summary
Disadv
- doesn’t always highlight outliers
- if interval boundaries are not shown the degree of detail is not clear
Bivariate data
Data relating to pairs of variables
Diff types of correlation
- Positive
- Negative
- Zero
How do we quantify the correlation between two variables?
Causal relationship
When a change in one variable causes a change in the other
Regression line equation