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Please do not just copy someone else's answer. They are incorrect and not complete. What is the predictive density of a new observation at the

Please do not just copy someone else's answer. They are incorrect and not complete.

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What is the predictive density of a new observation at the predictor vector x = (1,0.12.0.56)?

y x1 x2 x3
-1.47196 1 -0.62645 -0.38342
4.585642 1 1.595281 1.215549
3.113337 1 0.487429 0.562698
1.018829 1 -0.30539 0.239762
-0.21683 1 -0.62124 -1.09928
1.817658 1 -0.04493 -0.03631
4.314445 1 0.821221 0.753025
1.144786 1 0.782136 0.569865
2.500895 1 0.619826 0.417039
-2.69653 1 -1.47075 -1.17297
5.02527 1 1.35868 0.920239
0.026614 1 -0.05381 -0.45078
1.017648 1 -0.39429 -0.2938
2.757856 1 0.763176 0.484866
2.360044 1 0.696963 0.654873
-0.03233 1 -0.7075 -0.38587
1.359103 1 -0.11235 0.18569
-1.6795 1 -0.61203 -0.32608
5.096062 1 1.433024 1.597237
-1.7833 1 -1.04413 -0.55998
8.162335 1 2.401618 1.66936
1.041416 1 0.028002 -0.20338
-3.28047 1 -1.80496 -0.8238
6.298758 1 2.172612 1.663481
1.115098 1 0.610726 0.147279
1.655023 1 0.291446 0.071025
0.455197 1 0.074341 -0.12482
-0.53512 1 -0.13518 0.258801
3.76664 1 0.593946 0.515647
0.556808 1 -0.30418 -0.10192

y = XB + 0, assuming o = 1 is known, and 3 has a multivariate normal prior with mean 0 and covariance matrix 100(X'X)-. y = XB + 0, assuming o = 1 is known, and 3 has a multivariate normal prior with mean 0 and covariance matrix 100(X'X)

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