Multi-Linear Regression Preview

logP = a0 + a1 \cdot neginvTK

Auxiliary Equations

logP = \log_{10} (P)

TK = TC + 273.15

neginvTK = \frac{- 1}{TK}

Data-Table

	TC	P
1	-36.7	1
2	-19.6	5
3	-11.5	10
4	-2.6	20
5	7.6	40
6	15.4	60
7	26.1	100
8	42.2	200
9	60.6	400
10	80.1	760

Program validated. Ready to Solve.

# Example 28 - Linear Regression. Pressure Data.
# Verified Solution: a0 = 8.75201, a1 = 2035.33
# Ref.: Comput. Appl. Eng. Educ. 6: 173, 1998

[
TC P
-36.7 1
-19.6 5
-11.5 10
-2.6 20
7.6 40
15.4 60
26.1 100
42.2 200
60.6 400
80.1 760
]
logP=log(P)
TK=TC+273.15
neginvTK = -1/TK

mlinfit neginvTK logP

Regression Model

y = a₀ + a₁ x₁

where y and x_i map to:
logP = a₀ + a₁ neginvTK

Variable	Value	95% confidence
a₀	8.7520100	0.542335
a₁	2035.3310	153.628

R²	R²adj	Rmsd	Variance
0.991502	0.990439	0.0246440	0.00759156

Multilinear Regression Fit

Multilinear Regression logP Residuals

Data Table

	neginvTK	logP	Calculated logP	Residual %
1	-0.0042292239	0	0.14413927	-Infinity%
2	-0.0039439953	0.69897	0.72467403	-3.677%
3	-0.0038218995	1	0.97317937	2.682%
4	-0.0036961745	1.30103	1.2290714	5.531%
5	-0.0035618878	1.60206	1.5023892	6.221%
6	-0.0034656039	1.7781513	1.6983589	4.487%
7	-0.0033416876	2	1.9505696	2.472%
8	-0.0031710798	2.30103	2.2978130	0.1398%
9	-0.0029962547	2.60206	2.6536399	-1.982%
10	-0.0028308563	2.8808136	2.9902802	0.000%

Settings and Hints

	Name/Source	Value	Type
1	Independent variables	1	Setting
2	Sample data	10	Setting
3	Version	7.0.73	Setting
4	#@report_fix_digits = 8		Default (integer)
5	#@chart_size = 428,300		Default (array)
6	#@report_show_source = true		Default (boolean)
7	#@report_show_header = false		Default (boolean)
8	#@report_show_settings = true		Default (boolean)
9	#@report_show_charts = true		Default (boolean)
10	#@report_show_data_points = true		Default (boolean)

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