(VIF): (VIF) 2: (VIF) 3: R: 0.02 0.04 0.08 0.1 .00 0.01 0.490 0.461 0.06 0.463...

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(VIF)₁: (VIF) 2: (VIF) 3: R²: 0.02 0.04 0.08 0.1 .00 0.01 0.490 0.461 0.06 0.463 0.41 0.401 0.394 0.443 0.296 0.322 0.336 0.349 0.354 0.356 0.356 0.169 0.167 0.167 0.166 0.165 0.164 0.164 20.07 0.36 6.37 3.20 1.98 1.38 1.20 1.05 20.72 10.67 6.55 3.27 2.07 1.40 1.21 1.06 1.22 1.17 1.14 1.08 1.02 0.98 0.95 0.93 0.7417 0.7416 0.7145 0.7412 0.7409 0.7045 0.7402 0.7399 (a) Make a ridge trace plot for the given c values. Do the ridge regression coefficients exhibit substantial changes near c = 0? Ixx = (b) Suggest a reasonable value for the biasing constant c based on the ridge trace, the VIF values, and R². 0.09 0.398 0.356 0.164 (c) The suggested model is E(Y) = 30 + 3₁X₁1 + 3₂X₁2 + 33X3 under the usual multiple linear regression assumptions with n = 44. The standard deviations of Y, X₁, X₂ and X₂ are denoted by sy = 3.463917, s₁ = 1.758499, 5₂ = 1.627928 and 53 = 0.8636021, respectively and ryx = (0.8417342, 0.8424849, 0.4740581)'; 1.0000 0.9744313 0.3759509 1.0000 0.4099208 1.0000 0.9744313 0.3759509 0.4099208 XX 20.072031 -19.791113 0.566692 -19.791113 20.716101 -1.051475 0.566692 -1.051475 1.217973 denote the vector of simple correlation between variable Y and each of the X variables, and the correlation matrix of the X variables and its inverse respectively. (i) Obtain the corresponding squared multiple correlation coefficients R for each X, and hence, discuss the correlation structure amongst the predictors. (ii) Briefly discuss the importance of the correlation form transformation. (VIF)₁: (VIF) 2: (VIF) 3: R²: 0.02 0.04 0.08 0.1 .00 0.01 0.490 0.461 0.06 0.463 0.41 0.401 0.394 0.443 0.296 0.322 0.336 0.349 0.354 0.356 0.356 0.169 0.167 0.167 0.166 0.165 0.164 0.164 20.07 0.36 6.37 3.20 1.98 1.38 1.20 1.05 20.72 10.67 6.55 3.27 2.07 1.40 1.21 1.06 1.22 1.17 1.14 1.08 1.02 0.98 0.95 0.93 0.7417 0.7416 0.7145 0.7412 0.7409 0.7045 0.7402 0.7399 (a) Make a ridge trace plot for the given c values. Do the ridge regression coefficients exhibit substantial changes near c = 0? Ixx = (b) Suggest a reasonable value for the biasing constant c based on the ridge trace, the VIF values, and R². 0.09 0.398 0.356 0.164 (c) The suggested model is E(Y) = 30 + 3₁X₁1 + 3₂X₁2 + 33X3 under the usual multiple linear regression assumptions with n = 44. The standard deviations of Y, X₁, X₂ and X₂ are denoted by sy = 3.463917, s₁ = 1.758499, 5₂ = 1.627928 and 53 = 0.8636021, respectively and ryx = (0.8417342, 0.8424849, 0.4740581)'; 1.0000 0.9744313 0.3759509 1.0000 0.4099208 1.0000 0.9744313 0.3759509 0.4099208 XX 20.072031 -19.791113 0.566692 -19.791113 20.716101 -1.051475 0.566692 -1.051475 1.217973 denote the vector of simple correlation between variable Y and each of the X variables, and the correlation matrix of the X variables and its inverse respectively. (i) Obtain the corresponding squared multiple correlation coefficients R for each X, and hence, discuss the correlation structure amongst the predictors. (ii) Briefly discuss the importance of the correlation form transformation.

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1 Range of VIF if VIF 1 variables are not correlated if 1 VIF 5 variables are moderate... View the full answer