1. Relative Frequency = frequency / total = f / n

2. Joint Relative Frequency = frequency / total + frequency / total =

(f1 / n) + (f2 / n) = (f1 + f2) / n

3. Conditional Relative Frequency = frequency / marginal total = f / Conditional n

4. Joint Conditional Relative Frequency =

frequency / marginal total + frequency / marginal total =

= (f1 / n) + (f2 / n) = (f1 + f2) / n

1. Sample Mean = x̄ = (∑ x ) / n

2. Population Mean = μ = (∑ x ) / N

3. Median = M = ((n + 1) / 2)th Value

4. Midrange = (Max + Min) / 2

5. Sample Standard Deviation = Sx = √((∑〖(x-x ̅)〗^2 )/(n-1))

6. Sample Variance = Sx^2 = (∑〖(x-x ̅)〗^2 )/(n-1)

7. Population Standard Deviation = σ = √((∑〖x-μ〗^2)/N)

8. Population Variance = σ^2= (∑〖x-μ〗^2)/N)

9. Percentile = P# = (Number of data values at or below) / n

10. Interquartile Range = IQR = Upper Quartile - Lower Quartile = Q3 - Q1

11. Range = Max - Min

12. Standardized Score = (Statistic - Parameter) / Standard Error of the Statistic

13. z-score = z = (x - x̄) / Sx

1. Correlation Coefficient (r) =

2. Correlation Coefficient (r) = +/- Sqrt(r^2) Given Sign of Slope

3. Coefficient of Determination = r^2 * 100%

4. Coefficient of Determination = Explained Variation / Total Variation * 100%

5. LSRL Model: y-hat = bo + b1 * x

6. Slope of LSRL Model: b1 = (y-hat - bo) / x

7. Slope of LSRL Model: b1 = r * Sy / Sx

8. y-Intercept of LSRL Model: bo = y-hat - b1 * x

9. y-intercept of LSRL Model Regressed to the Mean: bo = y-bar - b1 * x-bar

10. Residual = e = y - y-hat

11. Sum of Residuals = SE = ∑e

12. Sum of Residuals Squared = SSE = ∑(e^2)

13. Common Models of Transformation for Straightening Data:

• log (y-hat) = bo + b1 * x

• y-hat = bo + b1 * log x

• log (y-hat) = bo + b1 * log x

N/A