Data Were Collected for a Sample of Companies Regarding Their

question 5

Essay

Data were collected for a sample of companies regarding their investment in quality improvement efforts and cost savings realized as a result (both measured as a percentage of sales revenue). Below is the scatterplot. The correlation coefficient for these data is r = 0.913. If data were collected for individual departments within companies rather than at the company level, would you expect the correlation to be weaker, stronger or about the same? Explain.

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Definitions:

Standard Form

A way to write numbers using the digits 0-9, where each digit is given a place value, or for equations, a specific arrangement, such as \(Ax + By = C\) for linear equations.

Method of Substitution

A technique used to solve systems of equations where one equation is solved for one variable in terms of the others, and then substituted into another equation.

System of Equations

A collection of two or more equations with the same set of unknowns.

Method of Substitution

A technique for solving systems of equations by replacing one variable with an equivalent expression in terms of the other variables.