The following MINITAB output presents a multiple regression equation

\hat { y } = b _ { 0 } + b _ { 1 } x _ { 1 } +

b _ { 2 } x _ { 2 } + b _ { 3 } x _ { 3 } + b _ { 4 } x _ { 4 }

The regression equation is

\mathrm { Y } = 2.5919 - 1.3391 \mathrm { X } 1 + 0.6212 \mathrm { X } 2 + 1.6435 \mathrm { X } 3 + 1.4269 \mathrm { X } 4

\begin{array}{lllll}\text { Predictor } & \text { Coef } & \text { SE Coef } & \text { T } & \text { P } \\\text { Constant } & 2.5919 & 0.6269 & 1.1668 & 0.337 \\\text { X1 } & -1.3391 & 0.6716 & 3.5190 & 0.002 \\\text { X2 } & 0.6212 & 0.8488 & -3.2848 & 0.004 \\\text { X3 } & 1.6435 & 0.7934 & 1.8821 & 0.090 \\\text { X4 } & 1.4269 & 0.7679 & -0.9879 & 0.345\end{array}

\mathrm{S}=2.8912 \quad \mathrm{R}-\mathrm{Sq}=55.3 \% \mathrm{R}-\mathrm{Sq}(\mathrm{adj})=46.4 \%

\begin{array}{l}\text { Analysis of Variance }\\\begin{array}{lcccrl}\text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F P } & \\\text { Regression } & 4 & 735.9 & 184.0 & 7.7311 & 0.003 \\\text { Residual Error } & 25 & 594.6 & 23.8 & & \\\text { Total } & 29 & 1330.5 & & & \\\hline\end{array}\end{array}

Let

\beta _ { 3 }

be the coefficient

X 3

Test the hypothesis

H _ { 0 } : \beta _ { 3 } = 0

versus

H _ { 1 } : \beta 3 \neq 0

at the

\alpha = 0.05 \text { level. }

What do you conclude?
A) Do not reject

H _ { 0 }

B) Reject

H _ { 0 }

Use the Given Set of Points to Compute the Standard b1,sbb _ { 1 } , s _ { \mathrm { b } }b1​,sb​

Multiple Choice