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

question 89

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:

PPE

Personal Protective Equipment; gear worn to minimize exposure to hazards that cause serious workplace injuries and illnesses.

Sterile Field

A specific area, often in a medical setting, that is kept free of all microorganisms to prevent infection during procedures.

Acetic Acid

An organic compound with the formula CH3COOH, best known for giving vinegar its sour taste and pungent smell.

Iodine Solution

A chemical solution used as a disinfectant, antiseptic, or in iodometry; it is known for its ability to kill bacteria and other pathogens.