A mixture of sucrose and water was heated on a hot plate, and the temperature (in "C) was recorded each minute for 20 minutes by three thermocouples. The results are shown in the following table. Time I1 Iz I3 20 18 21 18 22 11 29 32 37 36 10 64 11 72 12 79 80 13 84 74 75 14 82 87 78 15 87 93 88 16 98 90 91 17 103 100 103 18 101 98 109 19 103 103 107 20 102 103 104 Compute the least-squares line for estimating the temperature as a function of time, using T, as the value for temperature. a. b. Compute the least-squares line for estimating the temperature as a function of time, using T, as the value for temperature. Compute the least-squares line for estimating the temperature as a function of time, using T, as the value for temperature. C. It is desired to compute a single line to estimate temperature as a function of time. One person suggests averaging the three slope estimates to obtain a single slope estimate, and averaging the three intercept estimates to obtain a single intercept estimate. Find the equation of the line that results from this method. Someone else suggests averaging the three temperature measurements at each time to obtain T= (7, + T; +T/3. Compute the least-squares line using T as the value for temperature. f. d. e. Are the results of parts (d) and (e) different?
A mixture of sucrose and water was heated on a hot plate, and the temperature (in "C) was recorded each minute for 20 minutes by three thermocouples. The results are shown in the following table. Time I1 Iz I3 20 18 21 18 22 11 29 32 37 36 10 64 11 72 12 79 80 13 84 74 75 14 82 87 78 15 87 93 88 16 98 90 91 17 103 100 103 18 101 98 109 19 103 103 107 20 102 103 104 Compute the least-squares line for estimating the temperature as a function of time, using T, as the value for temperature. a. b. Compute the least-squares line for estimating the temperature as a function of time, using T, as the value for temperature. Compute the least-squares line for estimating the temperature as a function of time, using T, as the value for temperature. C. It is desired to compute a single line to estimate temperature as a function of time. One person suggests averaging the three slope estimates to obtain a single slope estimate, and averaging the three intercept estimates to obtain a single intercept estimate. Find the equation of the line that results from this method. Someone else suggests averaging the three temperature measurements at each time to obtain T= (7, + T; +T/3. Compute the least-squares line using T as the value for temperature. f. d. e. Are the results of parts (d) and (e) different?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A mixture of sucrose and water was heated on a hot plate, and the temperature (in "C) was
recorded each minute for 20 minutes by three thermocouples. The results are shown in the
following table.
Time
I1
Iz
I3
20
18
21
18
22
11
29
32
37
36
10
64
11
72
12
79
80
13
84
74
75
14
82
87
78
15
87
93
88
16
98
90
91
17
103
100
103
18
101
98
109
19
103
103
107
20
102
103
104
Compute the least-squares line for estimating the temperature as a function of time,
using T, as the value for temperature.
a.
b. Compute the least-squares line for estimating the temperature as a function of time,
using T, as the value for temperature.
Compute the least-squares line for estimating the temperature as a function of time,
using T, as the value for temperature.
C.
It is desired to compute a single line to estimate temperature as a function of time. One
person suggests averaging the three slope estimates to obtain a single slope estimate,
and averaging the three intercept estimates to obtain a single intercept estimate. Find
the equation of the line that results from this method.
Someone else suggests averaging the three temperature measurements at each time to
obtain T= (7, + T; +T/3. Compute the least-squares line using T as the value for
temperature.
f.
d.
e.
Are the results of parts (d) and (e) different?
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