Concept Check 1

What is a linear equation?  What is a system of linear equations?  ax+by=c is a linear equation with x and y as variables.  When more than x and y, a linear equation is    a1x1 + a2x2 + . . .+anxn = b where x1, x2, xn are variables.  A finite collection of linear equations in the variables x1, x2,  . . ., xn is called a system of linear equations.  What is a solution for a system of linear equations?  What does it mean to solve a linear system?  Given a linear equation a1x1 + a2x2 +

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Personal Protective Equipments (PPE’s)• Personal protective equipments commonly referred to as “PPE “includes all clothing and work accessories designed to protect employees from injury or infection. • It refers to the protective clothing, helmets, hard hats, hearing protectors, respirators, goggles or other garments or equipment’s meant to protect the wearers’ body from injury by heat, chemicals, infection, electrical hazards, airborne particulate matter etc. • The purpose of personal

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Quantitative techniques may be defined as those techniques which provide the decision makes a systematic and powerful means of analysis, based on quantitative data,Quantitative techniques may be defined as those techniques which provide the decision makes a systematic and powerful means of analysis, based on quantitative data There are different types of quantitative techniques. We can classify them into three categories. They are: Mathematical Quantitative Techniques Statistical Quantitative Techniques

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  • Standard deviation:  average measure from data and mean (square root of  variance).How far the data is on average from the mean.

    • Solve: Find the variance and take the square root of it.

  • Coefficient of Variation: standard deviation of two sets of data. Shown as as a percentage and measures the variation side by side with the mean

    • Solve:: CV = standard deviation/ mean * 100

  • Counting numbers is discrete

Center and Variability:

  • Descriptive Measures: a single number thats comes from the sample data  

  • Central

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Any marketing actions a firm takes today can change consumer’s brand awareness or brand image and have an indirect effect on the success of future marketing activities. For example; the frequent use of temporary price decreases as sales promotions may create or strengthen a “discount” association to the bran, with potentially adverse implications on customer loyalty and responses to future price changes or non-price-oriente marketing communication efforts. Marketers must actively manage brand

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Cluster: A collection of data objects

 similar (or related) to one another within the same group

 dissimilar (or unrelated) to the objects in other groups

 Cluster analysis (or clustering, data segmentation, …)

 Finding similarities between data according to the

characteristics found in the data and grouping similar

data objects into clusters

 Unsupervised learning: no predefined classes (i.e., learning

by observations vs. learning by examples: supervised)

 Typical applications

 As

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