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:

Incremental Steps

Small, progressive actions or changes made to gradually achieve a larger goal.

Systematic Test

A methodical approach to testing that follows a plan, guidelines, or set procedures to evaluate outcomes.

Algorithms

Step-by-step procedures or formulas for solving problems or completing tasks, often used in computing and mathematics to ensure accuracy and efficiency.

Systematic Test

A methodical and structured approach to evaluating and measuring the functionality, performance, or reliability of a system or component.