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Linear fit of price and 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 00:56:08 -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/t1242975737824k57q27khdp7x.htm/, Retrieved Fri, 22 May 2009 09:02:17 +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/t1242975737824k57q27khdp7x.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:

Hypothesis: Exclusionary benefits are capitalized into large-scale multi-unit housing as square footage increases. I.e., price increases at a greater rate than area.

IsPrivate?

No (this computation is public)

User-defined keywords:

Portland John Ross Condos Housing Affordability

Dataseries X:

» Textbox « » Textfile « » CSV «

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

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

Price[t] = +403.47480641625 Sq.ft.[t] -53888.068174771 + 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
Sq.ft.[t]	403.474806	20.815067	19.383786	0	0
Constant	-53888.068175	26457.447154	-2.036783	0.048164	0.024082

Variable	Elasticity	S.E.^*	T-STAT H0: \|elast\| = 1	2-tail p-value	1-tail p-value
%Sq.ft.[t]	1.1266	0.058121	2.178226	0.035194	0.017597
%Constant	-0.1266	0.062157	-14.051535	0	0
Variable	Stand. Coeff.	S.E.^*	T-STAT H0: coeff = 0	2-tail p-value	1-tail p-value
S-Sq.ft.[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
Sq.ft.[t]	0.949534
Constant	-0.303126
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	61499.186737
Sum Squared Errors	155068148740.06
Log Likelihood	-534.141861
Durbin-Watson	1.55192
Von Neumann Ratio	1.588871
# e[t] > 0	18
# e[t] < 0	25
# Runs	12
Stand. Normal Runs Statistic	-3.150945

Multiple Linear Regression - Ad Hoc Selection Test Statistics
Akaike (1969) Final Prediction Error	3958063921.3289
Akaike (1973) Log Information Criterion	22.098954
Akaike (1974) Information Criterion	3957798077.9799
Schwarz (1978) Log Criterion	22.18087
Schwarz (1978) Criterion	4295655289.6811
Craven-Wahba (1979) Generalized Cross Validation	3966645089.7221
Hannan-Quinn (1979) Criterion	4079180146.6172
Rice (1984) Criterion	3976106377.9504
Shibata (1981) Criterion	3941699832.7653

Multiple Linear Regression - Analysis of Variance
ANOVA	DF	Sum of Squares	Mean Square
Regression	1	1421071662306.4	1421071662306.4
Residual	41	155068148740.06	3782149969.2699
Total	42	1576139811046.5	37527138358.25
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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