Construct the multiple regression sequence $\hat { y }$=b₀+b₁x₁+b₂x₂+b₃x₃ for the following data set: $\begin{array} { c r c c } y & x _ { 1 } & x _ { 2 } & x _ { 3 } \ 51.0 & 80 & 34 & 7.5 \ 34.3 & 60 & 22 & 2.5 \ 31.5 & 60 & 24 & 5.0 \ 33.2 & 60 & 23 & 4.0 \ 49.2 & 60 & 29 & 6.5 \ 46.7 & 70 & 27 & 7.5 \ 30.4 & 70 & 32 & 4.0 \ 43.2 & 60 & 25 & 5.5 \ 30.6 & 60 & 26 & 3.5 \ 43.3 & 70 & 28 & 7.5 \end{array}$ A) $\hat { y }$=3.8708+0.2200 x₁-0.1503 x₂+22.4605 x₃ B) $\hat { y }$=3.5766+0.1982 x₁-0.1453 x₂+22.0113 x₃ C) $\hat { y }$=22.0113-0.1453 x₁+0.1982 x₂+3.5766 x₃ D) $\hat { y }$=22.4605-0.1503 x₁+0.2200 x₂+3.8708 x₃

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Quizplus · Accepted Answer

To construct the multiple regression equation, we use the following steps: 1. Label the variables: y, x1 = x₁, x2 = x₂,and x3 = x₃ 2. Use a software to run the multiple regression analysis on the given dataset. Using software, we get the following regression equation: $\hat { y } $= 22.4605 - 0.1503x1 + 0.2200x2 + 3.8708x3 So, the best choice is D.

Construct the Multiple Regression Sequence y^\hat { y }y^​ =B0+b1x1+b2x2+b3x3 for the Following Data Set

Construct the Multiple Regression Sequence $\hat { y }$ =B₀+b₁x₁+b₂x₂+b₃x₃ for the Following Data Set