Question: Consider a data cube StudentPerformance with dimensions Course, Professor, Semester and measure average grade ( of students that have taken this course with this professor

Consider a data cube StudentPerformance with dimensions Course, Professor, Semester and measure average grade (of students that have taken this course with this professor in this semester). a) Assume that there are 100 different courses, 10 different professors, and 6 different semesters. What is the number of cells in the data cube? Show your computation. b) Show the lattice of GROUP-BY queries that are needed to compute the data cube (i.e. the GROUP BY queries that the CUBE operator computes)

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