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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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A battery manufacturer is trying to improve the lifetime of its battery by considering
three types of technologies in its production line: A, B and C. To instigate the effect of
these technologies on the battery life a 23 experiment is run, and the data from two
replicates are shown in the following table. (a=0.01)
(a) Do any of the three technologies affect battery lifetime?
(b) Is there a combination of technology A and C that always gives good results
regardless of applying technology B?
А
A+
Technology
B-
B+
B-
B+
221
354
325
552
C-
311
348
435
472
440
605
406
392
C+
453
500
377
419
*
A¯means the technology A is not applied and A* means technology A is applied
Transcribed Image Text:A battery manufacturer is trying to improve the lifetime of its battery by considering three types of technologies in its production line: A, B and C. To instigate the effect of these technologies on the battery life a 23 experiment is run, and the data from two replicates are shown in the following table. (a=0.01) (a) Do any of the three technologies affect battery lifetime? (b) Is there a combination of technology A and C that always gives good results regardless of applying technology B? А A+ Technology B- B+ B- B+ 221 354 325 552 C- 311 348 435 472 440 605 406 392 C+ 453 500 377 419 * A¯means the technology A is not applied and A* means technology A is applied
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