The Table Shows the Weights, in Pounds, of Seven Subjects

question 52

Essay

The table shows the weights, in pounds, of seven subjects before and after following a particular diet for two
months. Assume that the x-values are the weights before the diet and the y-values are the weights after the
diet. $$\begin{array} { | r | c c c c c c c | } \hline \text { Subject } & \mathrm { A } & \mathrm { B } & \mathrm { C } & \mathrm { D } & \mathrm { E } & \mathrm { F } & \mathrm { G } \\\hline \text { Before } & 183 & 170 & 150 & 171 & 198 & 160 & 164 \\\hline \text { After } & 176 & 161 & 148 & 176 & 184 & 162 & 152 \\\hline\end{array}$$ Are the x-values matched with the corresponding y-values? That is, is each x-value associated with the
corresponding y-value in some meaningful way? If the x- and y-values are matched, does it make sense to use
the difference between each x-value and the y-value that is in the same column? Why or why not?

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Definitions:

Simple Interrupted Time-Series Design

A research design analyzing data collected at regular intervals over time to determine the effect of an intervention.

Intervention of the Series

A sequence of actions or experimental manipulations designed to investigate the effects of those actions on a subsequent process or outcome.

Control Point

A specific point or condition in a process or experiment that is used as a standard for comparison or to ensure consistency.

Change Window

A defined period during which changes are allowed or implemented in a system, process, or environment, often used in IT and project management.