The Following 10 Observations of Variables X and Y Were

question 128

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.

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Definitions:

Young Adults

Individuals in their late teens to early twenties, often considered a developmental stage between adolescence and adulthood.

Adolescence

A transitional stage of physical and psychological development that generally occurs during the period from puberty to legal adulthood.

12-19 Years

Typically refers to the adolescent developmental stage, characterized by physical, psychological, and emotional changes.

Secondary Sexual Characteristics

Physical features that distinguish the sexes of a species but are not directly involved in reproduction, such as breast development in females and beard growth in males.