Use Computer Software to Find the Best Regression Equation to Explain

question 63

Multiple Choice

Use computer software to find the best regression equation to explain the variation in the dependent variable, Y, in terms of the independent variables, X1, X2, X3
- $\begin{array}{ccc}\mathrm{Y} & \mathrm{X}_{1} & \mathrm{X}_{2} \\15 & 1.2 & 16 \\15 & 1.2 & 16 \\17 & 1.0 & 16 \\6 & 0.8 & 9 \\1 & 0.1 & 1\\8 & 0.8 & 8 \\10 & 0.8 & 10 \\17 & 1.0 & 16 \\15 & 1.2 & 15 \\11 & 0.7 & 9 \\18 & 1.4 & 18 \\16 & 1.0 & 15 \\10 & 0.8 & 9 \\7 & 0.5 & 5 \\18 & 1.1 & 16\end{array}$
CORRELATION COEFFICIENT
$\begin{array}{l}\mathrm{Y} / \mathrm{X}_{1}=.886 \\\mathrm{Y} / \mathrm{X}_{2}=.965\end{array}$
COEFFICIENTS OF DETERMINATION
$\begin{array}{c}\mathrm{Y} / \mathrm{X}_{2}=.932 \\Y / \mathrm{X}_{2}, \mathrm{X}_{1}=.943\end{array}$

• A) \(\hat { Y } = .42 + .99 \mathrm { X } _ { 2 }\)
• B) \(\hat { Y } = 1.38 - 5.53 X _ { 1 } + 1.33 X _ { 2 }\)
• C) \(\hat { \mathrm { Y } } = - .42 + 14.07 \mathrm { X } _ { 1 }\)
• D) \(\hat { Y } = 1.25 - 1.55 X _ { 1 } + 5.79 X _ { 2 }\)

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The ability of an individual, firm, or country to produce a good or service at a lower opportunity cost than competitors, underpinning international trade theories.

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The ability of an entity to produce a good or service at a lower cost per unit than other competitors using the same amount of resources.

Trade Surplus

A situation where a country's exports exceed its imports over a given period, indicating a positive balance of trade.

Services

Services involve non-material economic activities aimed at satisfying needs or wants, including endeavors like consulting, banking, or maintenance.