Consider the Data Given in the Table Below Plot the Data on a Scattergram

question 84

Essay

Consider the data given in the table below. $$\begin{array} { c c } \hline \mathrm { X } & \mathrm { Y } \\\hline 1 & 7 \\2 & 6 \\2 & 5 \\3 & 5 \\3 & 4 \\4 & 4 \\4 & 3 \\4 & 2 \\5 & 4 \\5 & 5 \\6 & 6 \\\hline\end{array}$$ Plot the data on a scattergram. Does a second-order model seem to be a good fit for the data? Explain.

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Definitions:

Median

The middle value in an ordered list of numbers, or the average of the two middle numbers when the list has an even number of observations.

Range

The difference between the highest and lowest values in a dataset, a simple measure of the spread or dispersion of the data points.

Standard Deviation

A statistical measure that quantifies the dispersion or spread of a set of data points.

Variance

A statistical measure of the dispersion of a set of data points in a data set.