Deciding on appropriate statistical methods for your …
Chi-squared test Note: The table only shows the most common tests for simple analysis of data. Examples: Are height and weight related? Both are continuous variables so Pearson’s Correlation Co-efficient would be appropriate if the variables are …
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Cubic equations
www.mash.dept.shef.ac.ukCubic equations Acubicequationhastheform ax3 +bx2 +cx+d =0 wherea =0 Allcubicequationshaveeitheronerealroot,orthreerealroots. Inthisunitweexplorewhy thisisso. Then we look at how cubic equations can be solvedby spotting factors andusing a …
Title: Simultaneous equations and the method of …
www.mash.dept.shef.ac.ukC. Leech, Coventry University, June 2000. MATHEMATICS SUPPORT CENTRE Title: Simultaneous equations and the method of substitution. Target: On completion of this worksheet you should be able to solve
Polynomial division - University of Sheffield
www.mash.dept.shef.ac.ukPolynomial division In order to simplify certain sorts of algebraic fraction we need a process known as polynomial division. This unit describes this process.
SUPPORT CENTRE - University of Sheffield
www.mash.dept.shef.ac.ukMATHEMATICS SUPPORT CENTRE Title: Simple Index numbers Target: On completion of this worksheet you should be able to calculate simple index numbers, and a weighted index.
Partial fractions - University of Sheffield
www.mash.dept.shef.ac.ukPartial fractions Analgebraicfractionsuchas 3x+5 2x2 −5x−3 canoftenbebrokendownintosimplerpartscalled partialfractions. Specifically 3x+5 2x2 −5x−3 2 x−3 1 ...
cos x bsin x Rcos(x α - University of Sheffield
www.mash.dept.shef.ac.ukKey Point acosx+bsinx canbewrittenas Rcos(x−α) where R = a2 +b2, tanα = b a Thisisaveryusefultooltohaveatone’sdisposal. Itreducesthesumoftwotrigonometric ...
A26 MATHEMATICS SUPPORT CENTRE
www.mash.dept.shef.ac.ukMathematics Support Centre,Coventry University, 2001 MATHEMATICS SUPPORT CENTRE Title: Remainder Theorem and Factor Theorem Target: On completion of this worksheet you should be able to use the remainder and factor theorems to find factors of polynomials.
Variance and standard deviation (grouped data)
www.mash.dept.shef.ac.ukStandard deviation = √ 138.727 =11.78 Exercises Find an estimate of the standard deviation of the following: 1. a) Lifetime Frequency b) Income Frequency c) House Frequency (hours) of (1000’s £) prices components (1000’s £) 300 ≤ l<400 13 10 ≤ i<15 9 40 ≤ p<60 5 400 ≤ l<500 25 15 ≤ i<20 16 60 ≤ p<80 9 500 ≤ l<600 66 20 ≤ ...
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TABLES OF P-VALUES FOR t- AND CHI-SQUARE REFERENCE ...
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