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(d) Calculate the residual corresponding to the first observation. (Round your answer to two decimal places.) Calculate the residual corresponding to the second observation. (Round your answer to two decimal places.) (e) Calculate a point estimate of o. (Round your answer to two decimal places.) Interpret the above point estimate of a. Porosity measurements deviate from the least squares line by approximately the point estimate of sigma on average. O Porosity measurements deviate from sample mean porosity measurement by approximately the square of the point estimate of sigma on average. O The unit weights of concrete specimens deviate from the least squares line by approximately the point estimate of sigma on average. O Porosity measurements deviate from the least squares line by approximately the square of the point estimate of sigma on average. O The unit weights of concrete specimens deviate from the least squares line by approximately the square of the point estimate of sigma on average.

(d) Calculate the residual corresponding to the first observation. (Round your answer to two decimal places.) Calculate the residual corresponding to the second observation. (Round your answer to two decimal places.) (e) Calculate a point estimate of o. (Round your answer to two decimal places.) Interpret the above point estimate of a. Porosity measurements deviate from the least squares line by approximately the point estimate of sigma on average. O Porosity measurements deviate from sample mean porosity measurement by approximately the square of the point estimate of sigma on average. O The unit weights of concrete specimens deviate from the least squares line by approximately the point estimate of sigma on average. O Porosity measurements deviate from the least squares line by approximately the square of the point estimate of sigma on average. O The unit weights of concrete specimens deviate from the least squares line by approximately the square of the point estimate of sigma on average.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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(d) Calculate the residual corresponding to the first observation. (Round your answer to two decimal places.) Calculate the residual corresponding to the second observation. (Round your answer to two decimal places.) (e) Calculate a point estimate of o. (Round your answer to two decimal places.) Interpret the above point estimate of a. O Porosity measurements deviate from the least squares line by approximately the point estimate of sigma on average. O Porosity measurements deviate from sample mean porosity measurement by approximately the square of the point estimate of sigma on average. O The unit weights of concrete specimens deviate from the least squares line by approximately the point estimate of sigma on average. O Porosity measurements deviate from the least squares line by approximately the square of the point estimate of sigma on average. O The unit weights of concrete specimens deviate from the least squares line by approximately the square of the point estimate of sigma on average.
Transcribed Image Text:(d) Calculate the residual corresponding to the first observation. (Round your answer to two decimal places.) Calculate the residual corresponding to the second observation. (Round your answer to two decimal places.) (e) Calculate a point estimate of o. (Round your answer to two decimal places.) Interpret the above point estimate of a. O Porosity measurements deviate from the least squares line by approximately the point estimate of sigma on average. O Porosity measurements deviate from sample mean porosity measurement by approximately the square of the point estimate of sigma on average. O The unit weights of concrete specimens deviate from the least squares line by approximately the point estimate of sigma on average. O Porosity measurements deviate from the least squares line by approximately the square of the point estimate of sigma on average. O The unit weights of concrete specimens deviate from the least squares line by approximately the square of the point estimate of sigma on average.
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 Parkir employed a least squares analysis in studying how y = porosity (%) is related to x = unit weight (pcf) in concrete specimens. Consider the following representative data. y = LUSE SALT Relevant summary quantities are Σ×, = 1640.9 ΣΥ, = 299.1, Σx2 = 180,022.35, Σxy = 32,248.04, Σy} = 6405.49. (a) Obtain the equation of the estimated regression line. (Round all numerical values to four decimal places.) Create a scatterplot of the data and graph the estimated line. 120 y 125- 115) x 99.2 101.2 102.6 103.1 105.3 107.2 108.9 110.7 y 28.7 28.0 26.9 25.1 22.9 21.4 21.0 19.4 x 112.0 112.6 113.5 114.0 115.0 115.5 120.1 y 16.9 19.0 16.2 16.5 12.9 13.5 10.7 105 110- 100 O 10 15 20 25 30 X y 30 25 20 15 10 o 100 105 110 115 120 125 y 30 25 20 15 10 100 105 110 115 120 X 125 y 125 120 115 110- 105 100 O 10 15 20 25 30 X
Transcribed Image Text: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 Parkir employed a least squares analysis in studying how y = porosity (%) is related to x = unit weight (pcf) in concrete specimens. Consider the following representative data. y = LUSE SALT Relevant summary quantities are Σ×, = 1640.9 ΣΥ, = 299.1, Σx2 = 180,022.35, Σxy = 32,248.04, Σy} = 6405.49. (a) Obtain the equation of the estimated regression line. (Round all numerical values to four decimal places.) Create a scatterplot of the data and graph the estimated line. 120 y 125- 115) x 99.2 101.2 102.6 103.1 105.3 107.2 108.9 110.7 y 28.7 28.0 26.9 25.1 22.9 21.4 21.0 19.4 x 112.0 112.6 113.5 114.0 115.0 115.5 120.1 y 16.9 19.0 16.2 16.5 12.9 13.5 10.7 105 110- 100 O 10 15 20 25 30 X y 30 25 20 15 10 o 100 105 110 115 120 125 y 30 25 20 15 10 100 105 110 115 120 X 125 y 125 120 115 110- 105 100 O 10 15 20 25 30 X
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