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Use Computer Software to Find the Best Multiple Regression Equation X1,X2,X3X _ { 1 } , X _ { 2 } , X _ { 3 }

Question 5

Multiple Choice

Use computer software to find the best multiple regression equation to explain the variation in the dependent variable, Y, in terms of the independent variables. X1,X2,X3X _ { 1 } , X _ { 2 } , X _ { 3 }
YX1X2151.216151.216171.01660.8910.1180.88100.810171.016151.215110.79181.418161.015100.8970.55181.116\begin{array} { c c c } Y & X _ { 1 } & X _ { 2 } \\15 & 1.2 & 16 \\15 & 1.2 & 16 \\17 & 1.0 & 16 \\6 & 0.8 & 9 \\1 & 0.1 & 1 \\8 & 0.8 & 8 \\10 & 0.8 & 10 \\17 & 1.0 & 16 \\15 & 1.2 & 15 \\11 & 0.7 & 9 \\18 & 1.4 & 18 \\16 & 1.0 & 15 \\10 & 0.8 & 9 \\7 & 0.5 & 5 \\18 & 1.1 & 16\end{array}
CORRELATION COEFFICIENT
 Y/ X1=0.886 Y/ X2=0.965\begin{array} { l } \text { Y/ } X _ { 1 } = 0.886 \\\text { Y/ } X _ { 2 } = 0.965\end{array}
COEFFICIENTS OF DETERMINATION
 Yl X2=0.932YlX2,X1=0.943\begin{array} { c } \text { Yl } X _ { 2 } = 0.932 \\Y l X _ { 2 } , X _ { 1 } = 0.943\end{array}


A) Y^=0.42+0.99X2\hat { Y } = 0.42 + 0.99 X _ { 2 }
B) Y^=1.385.53X1+1.33X2\hat { Y } = 1.38 - 5.53 X _ { 1 } + 1.33 X _ { 2 }
C) Y^=1.251.55X1+5.79X2\hat { Y } = 1.25 - 1.55 X _ { 1 } + 5.79 X _ { 2 }
D) Y^=0.49+14.07X1\hat { Y } = - 0.49 + 14.07 X _ { 1 }

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