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categoryإحصاء schoolبكالوريوس event_available2026-07-15

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= No-fines concrete, made from a uniformly graded coarse aggregate and a cement-water paste, is beneficial in areas prone to excessive rainfall because of its excellent drainage properties. The article "Pavement Thickness Design for No- Fines Concrete Parking Lots," J. of Trans. Engr., 1995: 476-484) employed a least squares analysis in studying how y porosity (%) is related to x unit weight (pcf) in con- crete specimens. Consider the following representative data: x 99.0 101.1 102.7 103.0 105.4 107.0 108.7 110.8 y 28.8 27.9 27.0 25.2 22.8 21.5 20.9 19.6 x 112.1 112.4 113.6 113.8 115.1 115.4 120.0 17.1 18.9 16.0 16.7 13.0 13.6 10.8 y **YOU CAN USE EXCEL FOR BUILDING ANNOVA TABLE or FACTORS NECESSARY FOR COMPUTATIONS IN OTHER PARTS OF QUESTION, but YOU SHOULD NOT USE DATA ANALYSIS TOOLPACK for solving this question** a) Compute ẞo and ẞ₁ b) Interpret the slope of the line. c) Verify if X and Y have linear relationship (using t-test). d) Compute R square. e) Carry out the model utility test using the ANOVA approach, verify that it gives a consistent result with the t-test in part c.

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