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Linear regression on price to sq. ft. comparison

*Unverified author*

R Software Module: esteq.wasp (opens new window with default values)

Title produced by software: Estimate Equation

Date of computation: Fri, 22 May 2009 00:44:12 -0600

Cite this page as follows:

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2009/May/22/t12429750037nbtgvk8zr394n0.htm/, Retrieved Fri, 22 May 2009 08:50:03 +0200

BibTeX entries for LaTeX users:

@Manual{KEY,
    author = {{YOUR NAME}},
    publisher = {Office for Research Development and Education},
    title = {Statistical Computations at FreeStatistics.org, URL http://www.freestatistics.org/blog/date/2009/May/22/t12429750037nbtgvk8zr394n0.htm/},
    year = {2009},
}
@Manual{R,
    title = {R: A Language and Environment for Statistical Computing},
    author = {{R Development Core Team}},
    organization = {R Foundation for Statistical Computing},
    address = {Vienna, Austria},
    year = {2009},
    note = {{ISBN} 3-900051-07-0},
    url = {http://www.R-project.org},
}

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords:

Portland John Ross Condos Housing Affordability

Dataseries X:

» Textbox « » Textfile « » CSV «

638 170000 631 172000 636 198850 640 199000 633 199950 781 201300 637 225000 639 234000 791 234900 639 249000 791 279000 793 279000 829 279900 773 284900 790 289900 920 299000 1061 329000 1205 339500 1205 349000 1207 379000 1207 389000 1207 389000 1205 399000 1205 399000 1207 419000 1207 429000 1207 429000 1210 479000 1210 479000 1207 479000 1207 479000 1207 579000 1873 599000 1827 647000 1826 649000 2133 649000 1468 675000 1928 699000 1831 709000 1831 729000 1833 769000 1894 819000 1938 819000

Output produced by software:

This free online calculator computes equations with the following options: constant, linear deterministic trend, first differences, hyperbolic, exponential, geometric, quadratic, cubic, quartic, seasonal dummies, predetermination (lagged endogenous variables), Ordinary Least Squares, Bootstrap, Jackknife.

Econometric Regression Equation

Multiple Linear Regression - Estimated Regression Equation

Sq.ft.[t] = +0.0022346258508251 Price[t] +237.35339830648 + e[t]

Multiple Linear Regression - Ordinary Least Squares
Variable	Parameter	S.E.	T-STAT H0: parameter = 0	2-tail p-value	1-tail p-value
Price[t]	0.002235	0.000115	19.383786	0	0
Constant	237.353398	53.806199	4.411265	7.3E-5	3.6E-5

Variable	Elasticity	S.E.^*	T-STAT H0: \|elast\| = 1	2-tail p-value	1-tail p-value
%Price[t]	0.800297	0.041287	-4.83694	1.9E-5	9.0E-6
%Constant	0.199703	0.045271	-17.677916	0	0
Variable	Stand. Coeff.	S.E.^*	T-STAT H0: coeff = 0	2-tail p-value	1-tail p-value
S-Price[t]	0.949534	0.048986	19.383786	0	0
S-Constant	0	0	0	1	0.5
^*Note	computed against deterministic endogenous series
Variable	Partial Correlation
Price[t]	0.949534
Constant	0.567325
Critical Values (alpha = 5%)
1-tail CV at 5%	1.69
2-tail CV at 5%	2.02

Multiple Linear Regression - Regression Statistics
Multiple R	0.949534
R-squared	0.901615
Adjusted R-squared	0.899216
F-TEST	375.731178
Observations	43
Degrees of Freedom	41
Multiple Linear Regression - Residual Statistics
Standard Error	144.731669
Sum Squared Errors	858837.499402
Log Likelihood	-273.910257
Durbin-Watson	1.693645
Von Neumann Ratio	1.73397
# e[t] > 0	22
# e[t] < 0	21
# Runs	12
Stand. Normal Runs Statistic	-3.239495

Multiple Linear Regression - Ad Hoc Selection Test Statistics
Akaike (1969) Final Prediction Error	21921.547064
Akaike (1973) Log Information Criterion	9.995158
Akaike (1974) Information Criterion	21920.074703
Schwarz (1978) Log Criterion	10.077074
Schwarz (1978) Criterion	23791.280655
Craven-Wahba (1979) Generalized Cross Validation	21969.073453
Hannan-Quinn (1979) Criterion	22592.343464
Rice (1984) Criterion	22021.474344
Shibata (1981) Criterion	21830.915344

Multiple Linear Regression - Analysis of Variance
ANOVA	DF	Sum of Squares	Mean Square
Regression	1	7870537.198273	7870537.198273
Residual	41	858837.499402	20947.256083
Total	42	8729374.697674	207842.25470653
F-TEST	375.731178
p-value	0

Charts produced by software:

Parameters (Session):

Parameters (R input):

R code (references can be found in the software module):

This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.

Software written by Ed van Stee & Patrick Wessa

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