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stats miderm form

Namefomula
Mean Absolute Deviation MAD = (โˆ‘ |x_i - xฬ„| ) / n
Median Absolute deviation Median( ๐‘ฅ1 โˆ’ ๐‘š , ... , ๐‘ฅ๐‘› โˆ’ ๐‘š )
variance ๐‘ 2 = (๐‘ฅ1 โˆ’ ๐‘ฅ 2 )+ โ‹ฏ + (๐‘ฅ๐‘› โˆ’ ๐‘ฅ 2 )/ ๐‘› โˆ’ 1
standard deviation ๐‘  = sqrt((๐‘ฅ1 โˆ’ ๐‘ฅ 2 )+ โ‹ฏ + (๐‘ฅ๐‘› โˆ’ ๐‘ฅ 2)/๐‘› โˆ’ 1)
Rule of Thumb 1 Observations are considered outliers if they are more than 3 standard deviations away from the mean to the left or the right. In other words, if they are either: โ€ข Less than าง ๐‘ฅ โˆ’ 3 ร— ๐‘  โ€ข Greater than าง ๐‘ฅ + 3 ร— ๐‘ 
Rule of Thumb 2 Observations are considered outliers if they are either: โ€ข Less than ๐‘„1 โˆ’ 1.5 ร— ๐ผ๐‘„๐‘… โ€ข Greater than ๐‘„3 + 1.5 ร— ๐ผ๐‘„๐‘…
Five Number Summary Minimum, 1st quartile, median, 3rd quartile, and maximum
Boxplot introduced by Tukey in 1977, are based on percentiles and give a quick way to visualize the distribution of data.
Scatterplot graphical display of the relationship between two numeric variables
Positive response tends to increase
Negative response tends to decrease
Neither no obvious change in response
Linear response tends to change(increase/decrease) at about the same rate across all values of explanatory
Curved rate at which response changes depends on value of explanatory
Covariance measure of joint variability between two numeric variables
Correlation measure of the strength and direction of the linear relationship between two numeric variables
Marginal Distribution In a contingency table, is the distribution of either variable alone
Distribution is a list of all the possible values of the variable and the relative frequency of each value.
Conditional Distribution shows the proportion (or percentage) of observations in each response category given that an observation falls into a specific explanatory group
Side-By-Side Bar Graph It is a graphic way to visualize the relationship between two categorical variables
Simpson's Paradox a phenomenon that occurs when there appears to be a trend in a set of data, but the trend disappears or reverses when the data is separated
Random Experiment any process that leads to one of several potential results which cannot be predicted
Trial an attempt of a random experiment
Outcome result of a random experiment
Event any combination of outcomes, typically shown as a capital letter or word
Created by: Sithu01
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