Question 3: 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. Consider the following representative data, where x = unit weight (pcf) in concrete specimens, and y = porosity (%): (a) (b) (c) (d) 102.1 | 102.7 | 103.0 | 105.6 | 108.2 108.7 27.7 27.9 25.3 22.8 20.2 21.6 x || 99.1 y 28.8 Obtain the equation of the estimated regression line. Interpret the slope of the least squares line. Calculate and interpret a point estimate of o. What proportion of observed variation in porosity can be attributed to the approximate linear relationship between unit weight and porosity?

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Question 3: 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. Consider the following representative data,
where x = unit weight (pcf) in concrete specimens, and y = porosity (%):
(a)
(b)
(c)
(d)
x
y
99.1 102.1 102.7 103.0 105.6 108.2 108.7
28.8 27.7 27.9 25.3 22.8 20.2 21.6
Obtain the equation of the estimated regression line.
Interpret the slope of the least squares line.
Calculate and interpret a point estimate of σ.
What proportion of observed variation in porosity can be attributed to the approximate linear relationship
between unit weight and porosity?
Transcribed Image Text:Question 3: 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. Consider the following representative data, where x = unit weight (pcf) in concrete specimens, and y = porosity (%): (a) (b) (c) (d) x y 99.1 102.1 102.7 103.0 105.6 108.2 108.7 28.8 27.7 27.9 25.3 22.8 20.2 21.6 Obtain the equation of the estimated regression line. Interpret the slope of the least squares line. Calculate and interpret a point estimate of σ. What proportion of observed variation in porosity can be attributed to the approximate linear relationship between unit weight and porosity?
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