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Statistics Vocab

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Question
Answer
Variance   average of the squared differences of all the values from the mean. standard deviation squared.  
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Standard deviation   square root of the average of the squared differences of all the values from the mean. square root of variance  
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Skewed to the right   has a long tail on the right side or the positive side.  
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Skewed to the left   has a long tail on the left side or the negative side  
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Empirical rule   34-13.5-2.35 68% of the values lie within one standard deviation 95% of the values lie within two standard deviations 99% of values lie within three standard deviations  
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Range   Difference between the largest and the smallest number  
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Interquartile range (IQR)   Difference between the third and first quartile  
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Simple ranking   I am top 25 out of 583 students. I am the seventh best detergent out on the market.  
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Percentile ranking   convert simple rank to a percentage  
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z-score   how many standard deviations something is from the mean  
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correlational coefficient   quantitative value of the strenght of a linear relationship. -1<r<1  
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strongly positively associated (scatter plot)   slope is positive and all values are close to the line of best fit  
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negatively associated (scatter plot)   slope is negative  
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residual plots   plot of the difference between the actual value and the line of best fit. sum of the residuals equals zero  
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outliers   values that fall away from the overall pattern. a point is an outlier if its residual is an outlier in a set of residuals  
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influential scores   scores whose removal would sharply change the regression line. typically found on the ends of the line.  
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