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A physica! device is shown in Figure 6.10. It is believed that the output y is linearly related to the input u. That is, y = au + b. What are the values of a and b if the following data are taken? 6.40 Figure 6.10 -2 y 5 1 6.41 The same device as in Problem 6.40 is considered. One more set of readings is taken as u = 5, y = 7 Find a least-squares estimate of a and b. Also find the minimum mean-squared error in this straight line fit to the three points.

A physica! device is shown in Figure 6.10. It is believed that the output y is linearly related to the input u. That is, y = au + b. What are the values of a and b if the following data are taken? 6.40 Figure 6.10 -2 y 5 1 6.41 The same device as in Problem 6.40 is considered. One more set of readings is taken as u = 5, y = 7 Find a least-squares estimate of a and b. Also find the minimum mean-squared error in this straight line fit to the three points.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Solve Q. 6.41 only 

 

A physica! device is shown in Figure 6.10. It is believed that the output y is linearly related to the input u. That is, y = au + b. What are the values of a and b if the following data are taken? 6.40 ? Figure 6.10 2 -2 y 5 1 6.41 The same device as in Problem 6.40 is considered. One more set of readings is taken as u = 5, y = 7 Find a least-squares estimate of a and b. Also find the minimum mean-squared error in this straight line fit to the three points. (Do 6.41; 6.40 is for reference only.)
Transcribed Image Text:A physica! device is shown in Figure 6.10. It is believed that the output y is linearly related to the input u. That is, y = au + b. What are the values of a and b if the following data are taken? 6.40 ? Figure 6.10 2 -2 y 5 1 6.41 The same device as in Problem 6.40 is considered. One more set of readings is taken as u = 5, y = 7 Find a least-squares estimate of a and b. Also find the minimum mean-squared error in this straight line fit to the three points. (Do 6.41; 6.40 is for reference only.)
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