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

question 28

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. $$\begin{array} { | c | c c | } \hline \text { Predictor } & \text { Coef } & \text { StDev } \\\hline \text { Constant } & 25 & 4 \\x _ { 1 } & 18 & 6 \\x _ { 2 } & - 12 & 4.8 \\x _ { 3 } & 6 & 5 \\\hline\end{array}$$ Develop the ANOVA table.

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Definitions:

Alkyllithium

A class of organolithium compounds characterized by a direct bond between a lithium atom and a carbon atom in an alkyl group.

Acetic Acid

A simple carboxylic acid recognized as the main component of vinegar apart from water, with the formula CH3COOH.

2-Butanone

An organic compound, also known as methyl ethyl ketone, with the formula CH3COC2H5, used as a solvent.

Acid Chloride

A class of organic compounds derived from acids by replacing a hydroxyl group with a chlorine atom, often used as intermediates in synthesis.