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STTN Test 2

Ch 4-6

TermDefinition
Parameter Summarising value calculated from a whole population
Statistic Summarising value from a sample
Measure of location/position Potray the centre of population or sample by a single number
Arithmic mean Gemiddeld x bar Continues assumption: all observations appear at class midpoint
Mode value with highest incidence
Modal interval interval with highest f
Median Middle/center of data set if arranged from smallest to largest
Quartiles Divides data in 4 parts
Deciles Divides data in 10 parts
Percentiles Divides data in 100 parts
Symmetrical distribution Left is mirror image of right Mean = mode = median
Skewed right/ positive Slopes down from left to right - slide right mean>median>mode
Skewed left / negative Slides left, slopes down from right to left mode>median>mean
Range difference between max and min observations
Interquartile range qr = q3-q1
Quartile deviation qd=qr/2
Standard deviation gives mean distance of obs from arithmetic mean
Sample variance s^2
Sample standard deviation s
Coefficient of variation Standard dev as % of the mean v=s/x *100
Stem and leaf plot Summarised image of data Stem: first number Leaf: last numbers
Five number summary Min; Q1; Median; Q3; Max
Box plots Based on 5-number summary
Turkey's rule Outlier is a value more than 1.5 times the interquartile range q1-1.5qr OR q3+1.5qr
Relative frequencies r=f/n
Scatterplot values of independent variables are plotted against dependent variables
Correlation Linear relationship between 2 variables
Pearsons Correlation coefficient measures degree of linear relationship between two variables r=sxy/sxsy
Properties of Correlation coefficient x-1<=r<=1 r>0: positive relationship r<0: negative relationship r=1: PERFECT positive r=-1: PERFECT negative r=0: NO linear realtionship
Regression Determine relationship between x and y & to predict values
Regression eq y=alpha+betha(x)+e
Estimated regression ew y=a+bx
Method of least squares "Best" regression line to fit data Vertical distances between data points are as small as possible
Residual Diff between observed value and value given by estimated regression line
Interpolation vs Extrapolation Inter: estimate y for x INSIDE interval Extra: estimate y for x OUTSIDE interval
Coefficient of determination R^2 indication of how well least-squares curve fits observed data Linear: r^2 = R^2
Properties of R^2 0<=R^2<=1 R^2 = 1: perfect fit R^2 = 0: doesn't fit at all straight line: R^2 = r^2
Created by: CARA.FAURIE
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