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37 Cards in this Set
- Front
- Back
barchart vs. histogram
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barchart- categorical
histogram- quantitative |
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relative
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comparison
(frequency) |
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median
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goes with IQR and Range
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mean
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goes with standard deviation
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£(x-xbar)=
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0
in mean problem, all deviations from the mean added together equals 0 |
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Sx
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the average distance from the average
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what happens to the standard deviation depending on normalicy?
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Sx is smaller
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stem and leaf
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MAKE A KEY
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wealel words
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all other things being equal
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resistant
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data is resistand if they are not dramatically affected by outliers
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non resistant things
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the mean
standard deviation range |
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resistant things
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median
IQR |
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Cheby Chev
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rule of thumb for determining the minimum % of data within K standard deviations
0% 75% 89% RANGE/6 |
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normal percentage with in three standard deviations
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68
96 99.8 |
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uniform % within in 3 standard deviations
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58
100 100 |
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what happens to mean and median when each data point is added to or subtracted to by the same number
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both go up or down by that specific number
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what happens to spread when each number is added or subtracted
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stays the same
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every data value is multiplied/divided what happens to mean/median?
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multiplied or divided by same number
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what happens to spread when each value is multiplied/divided?
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spread multiplied/divided too
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normal model is useful for distributions whose shapes are...
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unimodal and rougly symetric
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empiracal rule
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68
95 99.7 |
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to standardize sample: equation
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z=x-x(bar)
---------------- s |
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to standardize population formula?
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z=x-u
----------- o- |
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roll 2 daice 120 times and make a histogram of the sums
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L1 RandInt (1,6,120)
L2 RandInt(1,6,120) L3=L1+L2 |
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what to describe about scatter plots
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direction
form strength |
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correlation
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-r is a number that measures how strong of a LINEAR relationship exists between the variables
-strenghts and direction -proximity of points to a line -non resistant -no units -sane if x and y are swapped |
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residual
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-y-yhat
-positive if above LSLR -negative if below LSLR -tells how far away a point is in the y direction |
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how to interpret slope
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the model suggests that for each increase of one hour studied grade increases by 10 points
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how to interpret y intercept
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the model suggests that if you do not study at all you will get a 59
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how to interpret y intercept
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the model suggests that if you do not study at all you will get a 59
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E(y-ybar)
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residuals
equals 0 |
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what are you looking for in residual?
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random scattering of points around LSRL
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coefficient of determimation
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r^2
the percent of variation in y that is explained by x |
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if the residual plot has increased spread?
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the model appears to be more accurate for smaller values of x
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mean of residuals
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0
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when to use three equations in left side of green sheet
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when no data is given
print out given |
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test to know if exponential is approriate
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first check residuals
then yn ---- yn-1 |