28. Write a user-defined function that determines the best fit of an exponential function of the form y=be. Name the function [b, m] expofit (x, y), where the input arguments x and y are vectors with the coordinates of the data points, and the output arguments b and m are the constants of the fitted exponential equation. Use expofit to fit the data below. Make a plot that shows the data points and the function. X T (K) k (W/m-K) T (K) k (W/m-K) y 2 0.4 1.7 29. Estimated values of thermal conductivity of silicon at different temperatures are given in the following table. 46 2.2 10.1 4 6 300 820 3.1 5.0 6.6 7.6 26.9 61.2 158 398 150 8 10 20 1,560 2,300 250 350 500 40 5,000 3,500 2,100 1,000 1,400 60 80 100 1,350 900 400 190 120 75 (a) Make a plot of k versus T using log scale on both axes. (b) Curve-fit the data with a second-order polynomial y=ax²+bx+c in which x=log(T) and y=log(k). Once the coefficients a, b, and c are determined, write an equation for k as a function of log(7) . Use this equation for curve-fitting the data. Make a second plot that shows the data points with markers and the curve-fitted equation with a solid line. (c) Repeat part (b) using a third-order polynomial. 30 20
28. Write a user-defined function that determines the best fit of an exponential function of the form y=be. Name the function [b, m] expofit (x, y), where the input arguments x and y are vectors with the coordinates of the data points, and the output arguments b and m are the constants of the fitted exponential equation. Use expofit to fit the data below. Make a plot that shows the data points and the function. X T (K) k (W/m-K) T (K) k (W/m-K) y 2 0.4 1.7 29. Estimated values of thermal conductivity of silicon at different temperatures are given in the following table. 46 2.2 10.1 4 6 300 820 3.1 5.0 6.6 7.6 26.9 61.2 158 398 150 8 10 20 1,560 2,300 250 350 500 40 5,000 3,500 2,100 1,000 1,400 60 80 100 1,350 900 400 190 120 75 (a) Make a plot of k versus T using log scale on both axes. (b) Curve-fit the data with a second-order polynomial y=ax²+bx+c in which x=log(T) and y=log(k). Once the coefficients a, b, and c are determined, write an equation for k as a function of log(7) . Use this equation for curve-fitting the data. Make a second plot that shows the data points with markers and the curve-fitted equation with a solid line. (c) Repeat part (b) using a third-order polynomial. 30 20
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
Problem 1PE
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![28. Write a user-defined function that determines the best fit of an exponential
function of the form y=be. Name
Name the function [b, m]
expofit (x, y), where the input arguments x and y are vectors with the
coordinates of the data points, and the output arguments b and m are the
constants of the fitted exponential equation. Use expofit to fit the data
below. Make a plot that shows the data points and the function.
X
T (K)
k (W/m-K)
T (K)
k (W/m-K)
y
2
46
0.4
1.7
29. Estimated values of thermal conductivity of silicon at different temperatures
are given in the following table.
80
4
2.2
10.1
6
100
7.6
3.1
5.0 6.6
26.9 61.2 158 398
8
150
10
300 820 1,560 2,300 5,000
20
250 350
40
3,500
500 1,000
1,350 900
400 190 120
75
30
(a) Make a plot of k versus T using log scale on both axes.
(b) Curve-fit the data with a second-order polynomial y = ax² +bx+c in
which x=log(T) and y=log(k). Once the coefficients a, b, and c are
determined, write an equation for k as a function of log(T). Use this
equation for curve-fitting the data. Make a second plot that shows the
data points with markers and the curve-fitted equation with a solid line.
(c) Repeat part (b) using a third-order polynomial.
60
2,100
=
1,400
20](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2323f944-68c6-4ffb-b4bd-7709a3866c17%2Fb46b1965-cb78-46dc-b60f-6b2c2a4da599%2Fpn8no6_processed.png&w=3840&q=75)
Transcribed Image Text:28. Write a user-defined function that determines the best fit of an exponential
function of the form y=be. Name
Name the function [b, m]
expofit (x, y), where the input arguments x and y are vectors with the
coordinates of the data points, and the output arguments b and m are the
constants of the fitted exponential equation. Use expofit to fit the data
below. Make a plot that shows the data points and the function.
X
T (K)
k (W/m-K)
T (K)
k (W/m-K)
y
2
46
0.4
1.7
29. Estimated values of thermal conductivity of silicon at different temperatures
are given in the following table.
80
4
2.2
10.1
6
100
7.6
3.1
5.0 6.6
26.9 61.2 158 398
8
150
10
300 820 1,560 2,300 5,000
20
250 350
40
3,500
500 1,000
1,350 900
400 190 120
75
30
(a) Make a plot of k versus T using log scale on both axes.
(b) Curve-fit the data with a second-order polynomial y = ax² +bx+c in
which x=log(T) and y=log(k). Once the coefficients a, b, and c are
determined, write an equation for k as a function of log(T). Use this
equation for curve-fitting the data. Make a second plot that shows the
data points with markers and the curve-fitted equation with a solid line.
(c) Repeat part (b) using a third-order polynomial.
60
2,100
=
1,400
20
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