# Equations

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 Author: RocketRN ID: 229362 Filename: Equations Updated: 2013-08-18 16:05:10 Tags: Equations Folders: Description: Equations Show Answers:

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1. Breakthrough Equation
y = ƒ(x) + ε

•    y = the outcome or result
•    X = the input, factors, or pieces needed
•    ƒ = the function {how input → output}
•    ε = the presence of error
2. The Principle of determinism
3. Margin of Error
• p = Estimate of percentage of respondents answering a question
• n = Number of respondents that answered the question
• The formula involves three basic steps:
• 1. The amount of variability in the sample denoted by p
• 2. The standard degree of precision of a 95% confidence interval
• 3. The sample size denoted by n
4. Goal of Analysis
Solving for

is the measure of output

Y is a function of a series of Xs, The factors affecting Y are a series of Xs.
5. Calculating Percentile
• 1. Put all numbers of the data set in numerical order
• 2. Multiply k% by the total number of numbers n {if you want to know the 90th percentile and you have 25 numbers in the set, you multiply 0.90 x 25 = 22.5}
• 3. Take that result and round up to the nearest whole number  {23}
• 4. Count the numbers from left to right {lowest to highest} until you reach the value for from step 3 {Your result would be the 23rd number in the series}
6. Standard Error of Sample Means

• σ = Population standard deviation
•    (you can use s - sample Standard Deviation)

n = sample size (should be at least 30)

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