With the progression of knowledge on radio-active materials, we now know that the decay of activity is exponential. With this information, we now know that we should use an exponential least squares regression fit to describe the data as good as possible. • In the cell below, write a program that uses linear least squares regression to fit the given data as an exponential function. Plot your resulting fit together with the given data. Determine the goodness of the fit by calculating the sum of residuals and r?, and compare those to the previous least squares regression that you did. (10 points) Estimate the time it takes to get below 10%, 5% and 1% of the initial number of active cores respectively based on this exponential fit. (10 points)

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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With the progression of knowledge on radio-active materials, we now know that the decay of activity is exponential. With
this information, we now know that we should use an exponential least squares regression fit to describe the data as good
as possible.
• In the cell below, write a program that uses linear least squares regression to fit the given data as an exponential
function. Plot your resulting fit together with the given data. Determine the goodness of the fit by calculating the sum
of residuals and r?, and compare those to the previous least squares regression that you did. (10 points)
• Estimate the time it takes to get below 10%, 5% and 1% of the initial number of active cores respectively based on this
exponential fit. (10 points)
- NOTE: For this, you may use root-finding methods we have discussed in Section 2.
Transcribed Image Text:With the progression of knowledge on radio-active materials, we now know that the decay of activity is exponential. With this information, we now know that we should use an exponential least squares regression fit to describe the data as good as possible. • In the cell below, write a program that uses linear least squares regression to fit the given data as an exponential function. Plot your resulting fit together with the given data. Determine the goodness of the fit by calculating the sum of residuals and r?, and compare those to the previous least squares regression that you did. (10 points) • Estimate the time it takes to get below 10%, 5% and 1% of the initial number of active cores respectively based on this exponential fit. (10 points) - NOTE: For this, you may use root-finding methods we have discussed in Section 2.
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