HBX Core Formulas and Excel Funtions -
Business Analytics
Coefficient of Variation - ANS Standard Deviation÷Mean
Z Value - ANS z=(x−µ)÷σ
µ - ANS Population Mean
σ - ANS Population Standard Deviation
x¯¯ - ANS Sample Mean
s - ANS Sample Standard Deviation
One standard deviation in a normal distribution - ANS P(μ−σ≤x≤μ+σ)≈68%
Two (1.96) standard deviations in a normal distribution - ANS P(μ−2σ≤x≤μ+2σ)≈95%
Three standard deviations in a normal distribution - ANS P(μ−3σ≤x≤μ+3σ)≈99.7%
Upper and lower bounds of a confidence interval - ANS x¯±z(s÷√n)
Single variable linear regression - ANS y^=a+bx
y^ - ANS The expected value of y, the dependent variable, for a given value of x
x - ANS The independent variable, the variable we are using to help us predict or better
understand the dependent variable
a - ANS The y-intercept, the point at which the regression line intersects the vertical axis. This is
the value of y^ when the independent variable, x, is set equal to 0
b - ANS The slope, the average change in the dependent variable y as the independent variable
x increases by one
R² - ANS Variation explained by the regression line÷Total variation=Regression Sum of
Squares÷Total Sum of Squares
R² for single variable linear regression - ANS Square of the correlation coefficient
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