Good forecasting and control of preconstruction activities leads to more efficient use of time and resources in highway construction projects. Data on construction costs (in $1000s) and person-hours of labor required on several projects are presented in the following table and are taken from the article "Forecasting Engineering Manpower Requirements for Highway Preconstruction Activities" (K. Persad, J. O'Connor, and K. Varghese, Journal of Management Engineering, 1995:41-47). Each value represents an average of several projects, and two outliers have been deleted. Cost (y) 251 Person-Hours (x) 939 5796 4690 289 124 283 294 138 138 2698 1385 663 345 1069 355 6945 5253 4159 1177 1266 802 1481 945 4716 2327 Compute the least-squares line for predicting y from x. Plot the residuals versus the fitted values. Does the model seem appropriate? c. Compute the least-squares line for predicting In y from In x. Plot the residuals versus the fitted values. Does the model seem appropriate? C. e. Using the more appropriate model, construct a 95% prediction interval for the cost of a project that requires 1000 person-hours of labor.
Good forecasting and control of preconstruction activities leads to more efficient use of time and resources in highway construction projects. Data on construction costs (in $1000s) and person-hours of labor required on several projects are presented in the following table and are taken from the article "Forecasting Engineering Manpower Requirements for Highway Preconstruction Activities" (K. Persad, J. O'Connor, and K. Varghese, Journal of Management Engineering, 1995:41-47). Each value represents an average of several projects, and two outliers have been deleted. Cost (y) 251 Person-Hours (x) 939 5796 4690 289 124 283 294 138 138 2698 1385 663 345 1069 355 6945 5253 4159 1177 1266 802 1481 945 4716 2327 Compute the least-squares line for predicting y from x. Plot the residuals versus the fitted values. Does the model seem appropriate? c. Compute the least-squares line for predicting In y from In x. Plot the residuals versus the fitted values. Does the model seem appropriate? C. e. Using the more appropriate model, construct a 95% prediction interval for the cost of a project that requires 1000 person-hours of labor.
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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