Explain What Residuals Are $x$ And $y$ Is $y = 5 - 10 x$

question 17

Essay

Explain what residuals are. Where do residuals come from?
How are residuals calculated?
Complete the table below by calculating the residuals for the following small data set. The linear model relating $x$ and $y$ is $y = 5 - 10 x$ . $\begin{array}{|l|l|l|} \hline x & y & \text { Residual } \\ \hline 11 & -100 & \\ \hline 5 & -51 & \\ \hline 7 & -63 & \\ \hline 4 & -34 & \\ \hline \end{array}$

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Definitions:

Hidden Curriculum

The unwritten, unofficial, and often unintended lessons, values, and perspectives that students learn in school.

Inequality

Inequality is the state of not being equal, especially in status, rights, and opportunities, often resulting in disparities among individuals or groups in society.

Diversity

Refers to the presence of variations of different characteristics in a group of people, which can include differences in race, ethnicity, gender, age, cultural background, etc.

Teacher Attitudes

The beliefs and feelings educators hold towards their students, teaching practices, and educational policies that can significantly influence their teaching methods and student outcomes.