Use Computer Software to Find the Best Multiple Regression Equation $Y$

question 9

Multiple Choice

Use computer software to find the best multiple regression equation to explain the variation in the dependent variable, $Y$ , in terms of the independent variables, $X _ { 1 } , X _ { 2 } , X _ { 3 }$ .
$\begin{array}{l}\begin{array}{lll}Y & X_{1} & X_{2} \\15 & 1.2 & 16 \\15 & 1.2 & 16 \\17 & 1.0 & 16 \\6 & 0.8 & 9 \\1 & 0.1 & 1 \\8 & 0.8 & 8 \\10 & 0.8 & 10 \\17 & 1.0 & 16 \\15 & 1.2 & 15 \\11 & 0.7 & 9 \\18 & 1.4 & 18 \\16 & 1.0 & 15 \\10 & 0.8 & 9 \\7 & 0.5 & 5 \\18 & 1.1 & 16\end{array}\begin{array}{c}\text { CORRELATION COEFFICIENT }\\\\Y / X_{1}=0.886\\Y / X_{2}=0.965\\\\\\\text { COEFFICIENTS OF DETERMINATION }\\\\Y / X_{2}=0.932\\Y / X_{2}, X_{1}=0.943\\\end{array}\end{array}$

• A) \(\hat { Y } = 0.42 + 0.99 X _ { 2 }\)
• B) \(\hat { Y } = 1.38 - 5.53 X _ { 1 } + 1.33 X _ { 2 }\)
• C) \(\hat { Y } = 1.25 - 1.55 X _ { 1 } + 5.79 X _ { 2 }\)
• D) \(\hat { Y } = - 0.49 + 14.07 X _ { 1 }\)

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Definitions:

Loads of Laundry

Quantity of laundry being washed and dried in a single operation or cycle.

Opportunity Cost

The cost of forgoing the next best alternative when a choice is made, representing the benefits one misses out on.

Comparative Advantage

The ability of an individual or entity to produce a good or service at a lower opportunity cost than others.

Absolute Advantage

The ability of a country, individual, or group to produce a good or service more efficiently than another entity, using fewer resources.