Numerade

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2. (50 points) In addition to the Gini index in Lecture 11-1, entropy is also commonly used as a metric to quantify impurity for learning the optimal decision trees based on the greedy search algorithm. Specifically, if a feature derives the smaller entropy, then the feature derives the less impure partition, so the feature is better to finish partition in a decision tree. Table 1 contains six training samples with three binary features: chest pain, gender, and smoke status. You are required to apply the greed search algorithm with entropy as the metric for learning the optimal binary decision tree to predict whether a patient has a heart attack, and the label information is summarized in the rightmost column. Table 1: The patient information of heart attack | Patient ID | Chest Pain | Male | Smokes | Heart Attack | |---|---|---|---|---| | 1 | yes | yes | no | yes | | 2 | yes | yes | yes | yes | | 3 | no | no | yes | yes | | 4 | no | yes | no | no | | 5 | yes | no | yes | yes | | 6 | no | yes | yes | no | Hint and requirement: (a) Please follow the greedy search algorithm in Lecture 11-1. In this problem, you need to replace the Gini index metric by entropy and derive the optimal decision tree for predicting heart attack. (b) Please calculate the entropy of each partition based on each feature, and choose the feature with the lowest entropy as the optimal feature. (c) Please draw your learned decision tree.

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According lecture we anti-intellectualism can focus on Question 4 options: Beliefs over facts mainly social media eliminating universities

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Calculate the marginal rate of substitution (MRS12) for the following utility function: U(q1,q2)= 5q1+q2. a) the marginal utility with respect to q1 is equal to MU1 = [ Select ] ["0", "1", "5", "10", "none of the above"] b) the marginal utility with respect to q2 is equal to MU2=Bq2γ, where B = [ Select ] ["-5", "-1", "-0.5", "0", "0.5", "1", "5", "none of the above"] , γ= [ Select ] ["-2", "-1", "-0.5", "0", "0.5", "1", "2", "none of the above"] c) the marginal rate of substitution MRS12=Cq2λ, where C = [ Select ] ["0", "0.5", "1", "2", "5", "10", "20", "none of the above"] , λ= [ Select ] ["-2", "-1", "-0.5", "0", "0.5", "1", "2", "none of the above"] d) What is the value of MRS12 at bundle (33, 9)? [ Select ] ["0", "1", "2", "5", "10", "20", "30", "50", "100", "none of the above"]

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What is the purpose of coherence techniques such as a word, using a pronoun, or a conjunction?

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This is a general representation for which type of reaction? Group of answer choices Synthesis Decomposition Single Replacement Double replacement

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On a Michaelis-Menten plot, a sigmoidal relationship between velocity and substrate concentration indicates that: Group of answer choices the enzyme is allosteric. either the temperature or pH is not constant the enzyme I operating under the influence of an uncompetitive inhibitor. the enzyme is operating under the influence of a competitive inhibitor. the enzyme is operating at Vmax.

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6. BH's history and the results of Panel 1 are consistent with which of the following interpretations? A. It is likely that BH has a single red cell alloantibody. B. It is likely that BH has multiple red cell alloantibodies. C. It is likely that BH has an autoantibody. D. It is likely that BH has an autoantibody with one or more underlying alloantibodies. 7. Which of the following alloantibodies CANNOT be ruled out using the results of antibody detection test (screen) combined with Panel 1? A. Anti-c. B. Anti-Fy$^a$. C. Anti-M. D. Anti-N. 8. Which of the following antibody combinations could account for all of the reactions noted in Panel 1? A. Anti-C and anti-Fy$^a$. B. Anti-Fy$^a$ and anti-E. C. Anti-M and anti-C. D. Anti-C and anti-Jk$^a$. 9. In order to strengthen the hypothesis of anti-C plus anti-Fy$^a$, the medical laboratory scientist repeated the antibody identification panel using manufacturer-supplied ficin-treated cells. Assuming that the hypothesis is correct, what would you predict? A. All previously reactive cells from the untreated panel would be more strongly reactive. B. All previously reactive cells from the untreated panel would be more weakly reactive or not reactive at all. C. Anti-C reactions would be at the same or greater strength and anti-Fy$^a$ reactions would be weakened or abolished. D. Anti-Fy$^a$ reactions would be at the same or greater strength and anti-C reactions would be weakened or abolished. 10. What antibody(ies) could account for all reactions on Panel 2? A. Anti-C. B. Anti-C plus Anti-K. C. Anti-Fy$^a$. D. Anti-Jk$^a$.

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In a shipment of 22 smartphones, 3 are defective. How many ways can a quality control Inspector randomly test 6 smartphones, of which 3 are defective?

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Studies conducted with a lysozyme (an enzyme) mutant that contains an Asp->Asn mutation at position 52 and a Glu->Gln mutation at position 35 exhibited almost a complete loss in enzymatic activity. What is the most likely explanation for the decrease in enzyme activity in the mutant? (2 Points)

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Over an interval of 6 months, the tilt of the Earth's spin axis with respect to the surrounding star fields changes by A) 0° B) 23.5° C) 47° D) 180°

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laura h.