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# HW-1 - Problem 4.5(a Consider Association Rule major(X...

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Problem 4.5(a): Consider Association Rule: major (X, “science”) => status (X, “undergrad”). (4.8) The number of task-relevant data tuples is 5000. 56% of undergraduates are major in science 64% of the students are undergraduate degrees 70% of the students are major in science Compute confidence and support. Solution: Support= Percentage of students at university who are undergraduate students and majoring in science. No. of undergraduate students= 5000*0.64= 3200 No. of undergraduates in Science= 3200*0.56= 1792 Support = (1792/5000)*100= 36% (approx) Confidence= Percentage of task relevant data tuples of the left side that also satisfy the right side. So, Confidence = Percentage of students who are majoring in science and are also undergraduate students. = 36% / 70% = 51% [Support, Confidence] = [36%, 51%] Problem 4.5(b): Consider Association Rule: major (X, “biology”) => status (X, “undergrad”) [17%, 80%] (4.9) Suppose that 30% of science students are majoring in Biology. Would you consider Rule (4.9) to be novel with respect to Rule (4.8)?

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