[C] 3.6. The following data are taken from a certain heat-transfer test. The expected correlation equation is y = ax. Plot the data in an appropriate manner and use the method of least squares to obtain the best correlation. 1690 | 2130 | 2420 | 2900 | 3310 | 1020 1260 174 2040 | 2580 | 2980 | 3220 3870 1240 1360 1710 | 2070 332 32.0 42.7 57.8 21.4 278 $2.1 43.1 18.8 192 15.1 129 78.5

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Please answer these 2 questions with full work please
[C] 3.6. The following data are taken from a certain heat-transfer test. The expected
correlation equation is y = ax'. Plot the data in an appropriate manner and
use the method of least squares to obtain the best correlation.
I | 2040 | 2580 | 2980 | 3220 | 3870 | 1690 | 2130 | 2420 | 2900 | 3310 | 1020 | 1240 | 1360 1710 2070o
|332 320 427 | 57.8 1260 174 | 214 278 $2.1 | 43.1 18.8 192 15.1 129 78.S
[C] 3.27. The following data are expected to follow a linear relation of the form y =
ax+b. Obtain the best linear relation in accordance with a least-squares analy-
sis. Calculate the standard deviation of the data from the predicted straight-line
relation:
x| 0.9| 2.3 | 3.3 | 4.5 | 5.7 | 6.7
y 1.1 1.6 2.6 3.2 4.0 5.0
Transcribed Image Text:[C] 3.6. The following data are taken from a certain heat-transfer test. The expected correlation equation is y = ax'. Plot the data in an appropriate manner and use the method of least squares to obtain the best correlation. I | 2040 | 2580 | 2980 | 3220 | 3870 | 1690 | 2130 | 2420 | 2900 | 3310 | 1020 | 1240 | 1360 1710 2070o |332 320 427 | 57.8 1260 174 | 214 278 $2.1 | 43.1 18.8 192 15.1 129 78.S [C] 3.27. The following data are expected to follow a linear relation of the form y = ax+b. Obtain the best linear relation in accordance with a least-squares analy- sis. Calculate the standard deviation of the data from the predicted straight-line relation: x| 0.9| 2.3 | 3.3 | 4.5 | 5.7 | 6.7 y 1.1 1.6 2.6 3.2 4.0 5.0
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