Construct the Multiple Regression Sequence $\hat { y } = b _ { 0 } + b _ { 1 } x _ { 1 } + b _ { 2 } x _ { 2 } + b _ { 3 } x _ { 3 }$

question 66

Multiple Choice

Construct the multiple regression sequence $\hat { y } = b _ { 0 } + b _ { 1 } x _ { 1 } + b _ { 2 } x _ { 2 } + b _ { 3 } x _ { 3 }$ for the following data set:
$\begin{array} { c c c c } y & x _ { 1 } & x _ { 2 } & x _ { 3 } \\31.3 & 50 & 19 & 4.0 \\56.9 & 90 & 38 & 8.0 \\43.1 & 70 & 28 & 6.5 \\41.5 & 70 & 25 & 5.5 \\39.0 & 60 & 26 & 6.5 \\40.9 & 70 & 29 & 5.0 \\35.9 & 60 & 23 & 5.5 \\43.5 & 70 & 28 & 5.5 \\47.9 & 80 & 34 & 6.5 \\33.8 & 70 & 26 & 4.5\end{array}$

• A) \(\hat { y } = 0.3258 + 0.2125 x _ { 1 } + 0.3888 x _ { 2 } + 2.6856 x _ { 3 }\)
• B) \(y = 0.3518 + 0.2129 x _ { 1 } + 0.4167 x _ { 2 } + 2.5798 x _ { 3 }\)
• C) \(y = 2.5798 + 0.4167 x _ { 1 } + 0.2129 x _ { 2 } + 0.3518 x _ { 3 }\)
• D) \(\hat { y } = 2.6856 + 0.3888 x _ { 1 } + 0.2125 x _ { 2 } + 0.3258 x _ { 3 }\)

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