A Sample of Eight Observations of Variables X and Y

question 45

Essay

A sample of eight observations of variables x and y is shown below: $$\begin{array} { | l | r | r | r | r | r | r | r | r | } \hline x & 5 & 3 & 7 & 9 & 2 & 4 & 6 & 8 \\\hline y & 20 & 23 & 15 & 11 & 27 & 21 & 17 & 14 \\\hline\end{array}$$ Calculate the covariance and the coefficient of correlation, and comment on the relationship between X and Y.

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Definitions:

Representative Samples

A subset of a population that accurately reflects the members of the entire population, useful in statistical analysis and research.

Generalizations

Broad statements or conclusions that apply to many instances, often derived from observations or experiments.

Confounding Variables

External factors in an experiment that can affect the outcome, potentially misleading the relationship between the variables being studied.

Larger Population

This term refers to a more substantial number of individuals in a particular group or area, often used in statistical studies and demographic analysis.