The Following 10 Observations of Variables X and Y Were

question 63

Essay

The following 10 observations of variables x and y were collected. $$\begin{array} { | c | c c c c c c c c c c | } \hline \boldsymbol { x } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\\hline y & 25 & 22 & 21 & 19 & 14 & 15 & 12 & 10 & 6 & 2 \\\hline\end{array}$$ Find the least squares regression line, and the estimated value of y when x = 3.

---

Definitions:

Mathematics Achievement

The level of proficiency and understanding a person has in mathematics, often measured through assessments or tests.

Ninth Graders

Students who are in the ninth grade, often the first year of high school in many education systems.

Scores

The numerical expression of an achievement or a performance, often used in games, exams, or competitions.

Frequency Table

A table that displays the frequency of various outcomes in a sample.