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The Following 10 Observations of Variables X and Y Were

question 63

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The following 10 observations of variables x and y were collected. x12345678910y252221191415121062\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:

Motivation

The process that initiates, guides, and maintains goal-oriented behaviors, driving individuals to pursue and achieve goals.

Self-Efficacy Theory

A psychological concept which posits that individuals' belief in their ability to perform tasks influences their actions and successes.

Motivated

Having a strong willingness or enthusiasm to do something.

Goal Specificity

The clarity and precision with which a goal is defined, impacting its measurability and the ability to achieve it.

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