Correlation Coefficient: indicates the strength of the relationship where -1 = perfect negative correlation; 1 = perfect positive correlation; 0 = no correlation More Statistics Measures of Central Tendency Measures of Dispersion/Spread Regressions Mean = average (calc = ) Range = maximum value minimum value STAT EDIT enter into list1 and list2 – Median= middle term Interquartile Range Quartile 3 Quartile 1 STAT CALC choose the correct regression – – Mode = most frequent Standard Deviation how much variation from the mean – STAT CALC 1VAR STATS σx 5 Statistical Summary Residuals Also = Minimum, Q1, median, Q3, maximum -the difference between measured data and predicted Variance how far the data is spread out – data (actual predicted) – (standard deviation)2 Quartiles divide the data into 4 equal parts. Contingency Table a 2-way frequency table used to – Outliers values that are far away from the rest of the data; – organize 2 categorical variables into 1 display affects mean; if outliers exist, it is best to use median Percentiles divide the data into 100 equal parts. Frequency using the actual counts in each cell – Perimeter the sum of all the sides Cell the intersection of 2 categories – – Percentile Rank = Relative frequency using the percent instead of the – Area count in each cell the totals for each row and column Marginal Totals – Triangle = in a contingency Rectangle = Relative marginal distribution the percent for each – Square = row and column Parallelogram = Conditional relative distribution the percent you get – in each row or column just that row or column as the total (instead of the actual total) Sequences Arithmetic adding a common difference Geometric multiplying by a common Recursive next term is found using – – –the Explicit equation: Explicit equation: the previous term; the first term must Where is the first in the sequence Where is the first element in the sequence be given as part of the definition of the And d is the common difference And r is the common function Equation Type: Linear Equation Type: Exponential Ex: {3,7,11,15,…} adding 4 Ex: {9,27,81,…} multiplying by 3 Ex:
Correlation Coefficient: indicates the strength of the relationship where -1 = perfect negative correlation; 1 = perfect positive correlation; 0 = no correlation More Statistics Measures of Central Tendency Mean = average (calc = ) Median= middle term Mode = most frequent Measures of Dispersion/Spread Range = maximum value – minimum value Interquartile Range – Quartile 3 – Quartile 1 Standard Deviation – how much variation from the mean STAT CALC 1VAR STATS σx Also = Variance – how far the data is spread out (standard deviation)2 Outliers – values that are far away from the rest of the data; affects mean; if outliers exist, it is best to use median Regressions STAT EDIT enter into list1 and list2 STAT CALC choose the correct regression 5 Statistical Summary Minimum, Q1, median, Q3, maximum Quartiles divide the data into 4 equal parts. Percentiles divide the data into 100 equal parts. Percentile Rank = Residuals -the difference between measured data and predicted data (actual – predicted) Contingency Table – a 2-way frequency table used to organize 2 categorical variables into 1 display Frequency – using the actual counts in each cell Cell – the intersection of 2 categories Relative frequency – using the percent instead of the count in each cell Marginal Totals – the totals for each row and column in a contingency Relative marginal distribution – the percent for each row and column Conditional relative distribution – the percent you get in each row or column just that row or column as the total (instead of the actual total) Perimeter – the sum of all the sides Area Triangle = Rectangle = Square = Parallelogram = Sequences Arithmetic – adding a common difference Explicit equation: Where is the first in the sequence And d is the common difference Equation Type: Linear Ex: {3,7,11,15,…} adding 4 Geometric – multiplying by a common Explicit equation: Where is the first element in the sequence And r is the common Equation Type: Exponential Ex: {9,27,81,…} multiplying by 3 Recursive –the next term is found using the previous term; the first term must be given as part of the definition of the function Ex:
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