Consider the Following Pairs of Observations $\begin{array}{|c|c|c|c|c|c|}\hline x & 2 & 3 & 5 & 5 & 6 \\\hline y & 1.3 & 1.6 & 2.1 & 2.2 & 2.7 \\\hline\end{array}$

question 20

Essay

Consider the following pairs of observations: $\begin{array}{|c|c|c|c|c|c|}\hline x & 2 & 3 & 5 & 5 & 6 \\\hline y & 1.3 & 1.6 & 2.1 & 2.2 & 2.7 \\\hline\end{array}$

a. Construct a scattergram for the data. Does the scattergram suggest that $y$ is positively linearly related to $x$ ?
b. Find the slope of the least squares line for the data and test whether the data provide sufficient evidence that $y$ is positively linearly related to $x$ . Use $\alpha = .05$ .

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Definitions:

Conflict Theory

A theory that views social life as a competition, focusing on the conflicts between groups over resources or power.

Macro-level Focus

is an analytical perspective in sociology that examines large-scale social processes and structures, overlooking individual behaviors to understand societal trends.

Large-scale Structures

Complex and overarching societal frameworks and institutions that organize and influence patterns of social behavior on a broad level.

Institutions

Established societal practices and organizations that structure behavior and interactions within a community or society.