Consider the Data Set Shown in the Table $\begin{array}{|ll|}\underline {X}& \underline{Y}\\{2} &{3} \\5 & 5 \\6 & 3 \\8 & 8 \\9 & 6\end{array}$

question 17

Essay

Consider the data set shown in the table.
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$\begin{array}{|ll|}\underline {X}& \underline{Y}\\{2} &{3} \\5 & 5 \\6 & 3 \\8 & 8 \\9 & 6\end{array}$ (a) Make a graph of the data points.
(b) Calculate the slope and Y-intercept.
(c) Plot the linear least squares line on your graph.
(d) Make a second graph showing the residuals.
(e) Calculate the t-value for a significance test of the slope of your linear least squares line.
(f) Using your results from (e) make a statement about the significance of the relationship between the X and Y values.

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Definitions:

Three-Dimensional Existential Model

This model is a framework in existential therapy that considers three core dimensions of human existence: the physical, social, and personal, aiming to address the inherent conflicts and anxieties within these spheres.

Narrative

A representation of events or situations, real or imagined, in a coherent, sequential manner, often with a moral or lesson.

Growth

The process through which an organism or organization increases in size, strength, or complexity.

Strength

Refers to the quality or state of being physically strong or the capacity to endure or resist.