Solved

The Following MINITAB Output Presents a Multiple Regression Equation y^=b0+\hat { y } = b _ { 0 } +

Question 116

Multiple Choice

The following MINITAB output presents a multiple regression equation y^=b0+\hat { y } = b _ { 0 } + b1x1+b2x2+b3x3+b4x4b _ { 1 } x _ { 1 } + b _ { 2 } x _ { 2 } + b _ { 3 } x _ { 3 } + b _ { 4 } x _ { 4 } .
The regression equation is
Y=4.7712+0.2662X1+1.2710X21.1349X31.8545X4\mathrm { Y } = 4.7712 + 0.2662 \mathrm { X } 1 + 1.2710 \mathrm { X } 2 - 1.1349 \mathrm { X } 3 - 1.8545 \mathrm { X } 4
S=2.8844RSq=49.6%RSq(adj) =43.9%\mathrm { S } = 2.8844 \quad \mathrm { R } - \mathrm { Sq } = 49.6 \% \quad \mathrm { R } - \mathrm { Sq } ( \mathrm { adj } ) = 43.9 \%
 Analysis of Variance  Source  DF  SS  MS  F P  Regression 4624.2156.19.87970.003 Residual Error 40633.715.8 Total 441257.9\begin{array}{l}\text { Analysis of Variance }\\\begin{array}{lcccrl}\text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F P } & \\\text { Regression } & 4 & 624.2 & 156.1 & 9.8797 & 0.003 \\\text { Residual Error } & 40 & 633.7 & 15.8 & & \\\text { Total } & 44 & 1257.9 & & &\end{array}\end{array}
It is desired to drop one of the explanatory variables. Which of the following is tl appropriate action?


A) Drop x1x _ { 1 } , then see whether adjusted R2R ^ { 2 } increases
B) Drop x1x _ { 1 } , then see whether R2R ^ { 2 } increases
C) Drop x4x _ { 4 } , then see whether adjusted R2R ^ { 2 } increases
D) Drop x4x _ { 4 } , then see whether R2R ^ { 2 } increases ost

Correct Answer:

verifed

Verified

Unlock this answer now
Get Access to more Verified Answers free of charge

Related Questions

Unlock this Answer For Free Now!

View this answer and more for free by performing one of the following actions

qr-code

Scan the QR code to install the App and get 2 free unlocks

upload documents

Unlock quizzes for free by uploading documents