A First-Order Model Was Used in a Regression Analysis Involving $x _ { 1 }$

question 26

Essay

A first-order model was used in a regression analysis involving 25 observations to study the relationship between a dependent variable y and three independent variables, $x _ { 1 }$ , $x _ { 2 }$ and $x _ { 3 }$ . The analysis showed that the mean squares for regression is 160 and the sum of squares for error is 1050. In addition, the following is a partial computer printout. $$\begin{array} { | c | c c | } \hline \text { Predictor } & \text { Coef } & \text { StDev } \\\hline \text { Constant } & 25 & 4 \\x _ { 1 } & 18 & 6 \\x _ { 2 } & - 12 & 4.8 \\x _ { 3 } & 6 & 5 \\\hline\end{array}$$ Is there sufficient evidence at the 5% significance level to indicate that $x _ { 2 }$ is negatively linearly related to y?

---

Definitions:

Counsel Families

Providing guidance and support to families facing challenges or issues, aiming to improve relationships and solve problems.

Group Counseling

A therapeutic approach where a small group of individuals meet regularly to discuss, interact, and address their issues with the guidance of a professional.

Emotional Reactivity

The extent to which an individual responds emotionally to situations, events, or interactions.

Personal Attributes

The characteristics, traits, or qualities that define an individual's personality and behavior.