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Economist
an Economist Is in the Process of Developing a Model

question 19

Short Answer

Economist
An economist is in the process of developing a model to predict the price of gold.She believes that the two most important variables are the price of a barrel of oil (x1)and the interest rate (x2).She proposes the first-order model with interaction y=β0+β1x1+β2x2+β3x1x2+ϵy = \beta _ { 0 } + \beta _ { 1 } x _ { 1 } + \beta _ { 2 } x _ { 2 } + \beta _ { 3 } x _ { 1 } x _ { 2 } + \epsilon A random sample of 20 daily observations was taken.The computer output is shown below. The regression equation is:
y=115.6+22.3x1+14.7x21.36x1x2y = 115.6 + 22.3 x _ { 1 } + 14.7 x _ { 2 } - 1.36 x _ { 1 } x _ { 2 }
 Predictor  Coef  SE Coef  T  Constant 115.678.11.480x122.37.13.141x214.76.32.333x1x21.360.522.615\begin{array}{|l|ccc|}\hline \text { Predictor } & \text { Coef } & \text { SE Coef } & \text { T } \\\hline \text { Constant } & 115.6 & 78.1 & 1.480 \\x_{1} & 22.3 & 7.1 & 3.141 \\x_{2} & 14.7 & 6.3 & 2.333 \\x_{1} x_{2} & -1.36 & 0.52 & -2.615 \\\hline\end{array}

S=20.9RSq=55.4%\mathrm { S } = 20.9 \quad \mathrm { R } - \mathrm { Sq } = 55.4 \%
ANAL YSIS OF VARIANCE
 Source of Variation  DF  SS  MS  F  Regression 386612887.06.626 Error 166971435.7 Total 1915632\begin{array}{|l|llll|}\hline \text { Source of Variation } & \text { DF } & \text { SS } & \text { MS } & \text { F } \\\hline \text { Regression } & 3 & 8661 & 2887.0 & 6.626 \\\text { Error } & 16 & 6971 & 435.7 & \\\hline \text { Total } & 19 & 15632 & & \\\hline\end{array}

-Is there sufficient evidence at the 1% significance level to conclude that the price of a barrel of oil and the price of gold are linearly related?
Test statistic = ____________________ = ____________________
Critical Value = ____________________
Conclusion: ____________________
Interpretation: _______________________________________________________

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Definitions:

Three-Component Model

A theory in psychology that describes three major components of attitude: cognitive, affective, and behavioral.

Attitudes

A settled way of thinking or feeling about someone or something, typically reflected in a person's behavior.

Four-Component Model

A framework in moral psychology that outlines the cognitive processes involved in ethical decision-making, including moral sensitivity, judgment, motivation, and character.

Attitude

An attitude is a psychological construct that represents an individual's degree of like or dislike for an item, concept, or group, influencing behavior and perceptions.

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