The following data represents the heat capacity (o) at different temperatures (T) for a given gas. Use the method of least square to determine heat capacity as a linear function of temperature. -40 -30 -20 0 30 50 70 90 120 978 1058 1180 1235 1310 1398 1470 1546 1675 Calculate coefficients a and b in y = a + b3x to be a least squares fit to the data in the table.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 6E
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The following data represents the heat capacity (o) at different temperatures (T) for a
given gas. Use the method of least square to determine heat capacity as a linear function
of temperature.
-40
-30
-20
30
50
70
90
120
978
1058
1180
1235
1310
1398
1470
1546
1675
Calculate coefficients a and b in
y = a + b3x
to be a least squares fit to the data in the table.
Transcribed Image Text:The following data represents the heat capacity (o) at different temperatures (T) for a given gas. Use the method of least square to determine heat capacity as a linear function of temperature. -40 -30 -20 30 50 70 90 120 978 1058 1180 1235 1310 1398 1470 1546 1675 Calculate coefficients a and b in y = a + b3x to be a least squares fit to the data in the table.
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