A hash function is an algorithm that maps data of variable length to data of a fixed

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A hash function is an algorithm that maps data of variable length to data of a fixed length. Hash functions are used by engineers responsible for data authentication and data encryption on a large scale. In the Journal of Cryptographic Engineering (Nov. 2012), a new algorithm for accelerating hash function computations was proposed. The performance y of the new algorithm (measured as number of CPU cycles per byte), was modeled as a function of message length x (measured in bytes). Data for six different messages submitted for data encryption are listed in the table. Consider the model, E(y) = βo + β1 ln(x).


a. Use matrix algebra to find estimates of βo and β1.

b. Conduct the test of overall model adequacy. Use α = .10.

c. Find and interpret a 90% confidence interval for the performance level of the new algorithm when applied to a message of length 5,000 bytes.

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Statistics For Engineering And The Sciences

ISBN: 9781498728850

6th Edition

Authors: William M. Mendenhall, Terry L. Sincich

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