The Following Table Lists Values Measured for 10 Consecutive Eruptions $\left( x _ { 1 } \right)$

question 92

Multiple Choice

The following table lists values measured for 10 consecutive eruptions of the geyser Old Faithful in Yellowstone National Park. They are the duration, in minutes, of the eruption $\left( x _ { 1 } \right)$ the dormant period before the eruption $\left( x _ { 2 } \right)$ and the dormant period after the eruption ( y ) .
$\begin{array} { c c c } x _ { 1 } & x _ { 2 } & y \\4.1 & 70 & 79 \\3.7 & 79 & 60 \\3.8 & 60 & 86 \\3.4 & 86 & 71 \\4.0 & 71 & 67 \\2.3 & 67 & 81 \\4.4 & 81 & 76 \\4.1 & 76 & 83 \\4.3 & 83 & 76 \\3.3 & 76 & 55\end{array}$
Construct the multiple regression equation $\hat { y } = b _ { 0 } + b _ { 1 } x _ { 1 } + b _ { 2 } x _ { 2 }$

• A) \(\hat { y } = 104.99 + 3.9972 x _ { 1 } - 0.6214 x _ { 2 }\)
• B) \(\hat { y } = - 0.6214 + 3.9972 x _ { 1 } + 104.99 x _ { 2 }\)
• C) \(y = - 0.57 + 3.70 x _ { 1 } + 103.94 x _ { 2 }\)
• D) \(\hat { y } = 103.94 + 3.70 x _ { 1 } - 0.57 x _ { 2 }\)