Consider the Data Set Shown $\begin{array}{|rr|}\hline \underline{x} & \underline{y} \\7 & 5 \\7 & 8 \\9 & 7 \\11 & 9 \\12 & 8 \\16 & 11\\\hline\end{array}$

question 9

Essay

Consider the data set shown. Conduct a full correlation analysis on these values.
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$\begin{array}{|rr|}\hline \underline{x} & \underline{y} \\7 & 5 \\7 & 8 \\9 & 7 \\11 & 9 \\12 & 8 \\16 & 11\\\hline\end{array}$ (a) Make a graph of the data points.
(b) Calculate the correlation coefficient with 95% confidence interval.
(c) Calculate the t-value for the correlation coefficient.
(d) Using your results from (b) and (c), make a statement about the significance of the association between the X and Y values.

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Definitions:

Water-soluble

A characteristic of a substance that allows it to dissolve in water.

Butanal

An organic compound belonging to the aldehyde group, with the chemical formula C4H8O, characterized by a four-carbon straight chain and a terminal aldehyde group.

Pentanal

An organic compound, also known as amyl aldehyde, with the formula C5H10O, characterized by its aldehyde group and used in flavoring and perfume formulations.

Hexanal

Hexanal is an organic compound commonly found as a component of fragrances and flavors, characterized by a grassy or fruity smell.