تم الحل ✓
categoryإحصاء
schoolبكالوريوس
event_available2026-07-15
السؤال
Transcribed Image Text:
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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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