A)Choose one of the measures of position – z-score,percentile or quartile – and

Question

A)Choose one of the measures of position – z-score,percentile or quartile – and explain in your own words whatthat particular measure tells us about the relative position aparticular piece of data within the data set. Support yourexplanation with an example showing how this could be used in thereal world.
B) Explain what the correlationcoefficient and line of best fit tell us in your own words. How isthe line of best fit used to make predictions? When are thesepredictions appropriate? What prediction can we make if the line ofbest fit can’t be used?
B) Explain what the correlationcoefficient and line of best fit tell us in your own words. How isthe line of best fit used to make predictions? When are thesepredictions appropriate? What prediction can we make if the line ofbest fit can’t be used?

Explanation / Answer

                  x - m
        z =              
                    s

Example

Find the z-score corresponding to a raw score of132 from a normal distribution withmean 100 and standard deviation15.

Solution

We compute

                   132 - 100
        z   =                        = 2.133
                         15

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