Question: Q2 Nearest Neighbor Regression 15 Points Consider a regression problem where you seek to predict a real-valued target y (vertical axis) from a scalar input


Q2 Nearest Neighbor Regression 15 Points Consider a regression problem where you seek to predict a real-valued target y (vertical axis) from a scalar input feature I (horizontal axis). You have a 4-point training dataset, illustrated in the plot below 1 0 All answers should be positive numbers. You may enter fractions like 4/3, or numbers like 1.333 accurate to three decimal places. Simplify all answers to a single number, more complicated mathematical expressions may not be given credit. Q2.1 1-NN Prediction A 2 Points What value would a 1-nearest-neighbor regressor predict for the test input mA = -2.5? Enter your answer here Q2.2 1-NN Prediction B 2 Points What value would a 1-nearest-neighbor regressor predict for the test input zB = +0.25? Q2.3 1-NN Mean Squared Error 3 Points What is the training mean squared error (MSE) of 1-nearest-neighbor regression? Enter your answer here Q2.4 2-NN Prediction A 2 Points What value would a 2-nearest-neighbor regressor predict for the test input 2A = -2.5? Enter your answer here Q2.5 2-NN Prediction B 2 Points What value would a 2-nearest-neighbor regressor predict for the test input IB = +0.25? Enter your answer here Q2.6 2-NN Mean Squared Error 4 Points What is the training mean squared error (MSE) of 2-nearest-neighbor regression? Enter your answer here Q2 Nearest Neighbor Regression 15 Points Consider a regression problem where you seek to predict a real-valued target y (vertical axis) from a scalar input feature I (horizontal axis). You have a 4-point training dataset, illustrated in the plot below 1 0 All answers should be positive numbers. You may enter fractions like 4/3, or numbers like 1.333 accurate to three decimal places. Simplify all answers to a single number, more complicated mathematical expressions may not be given credit. Q2.1 1-NN Prediction A 2 Points What value would a 1-nearest-neighbor regressor predict for the test input mA = -2.5? Enter your answer here Q2.2 1-NN Prediction B 2 Points What value would a 1-nearest-neighbor regressor predict for the test input zB = +0.25? Q2.3 1-NN Mean Squared Error 3 Points What is the training mean squared error (MSE) of 1-nearest-neighbor regression? Enter your answer here Q2.4 2-NN Prediction A 2 Points What value would a 2-nearest-neighbor regressor predict for the test input 2A = -2.5? Enter your answer here Q2.5 2-NN Prediction B 2 Points What value would a 2-nearest-neighbor regressor predict for the test input IB = +0.25? Enter your answer here Q2.6 2-NN Mean Squared Error 4 Points What is the training mean squared error (MSE) of 2-nearest-neighbor regression? Enter your answer here
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