Home » date » 2007 » Nov » 16 » attachments

The Seatbeltlaw

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

Title produced by software: Multiple Regression

Date of computation: Fri, 16 Nov 2007 07:43:25 -0700

Cite this page as follows:

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL http://www.freestatistics.org/blog/date/2007/Nov/16/t1195223948kusiqrwokekmskp.htm/, Retrieved Fri, 16 Nov 2007 15:39:10 +0100

User-defined keywords:

Q1 - Q2 BREDER

Dataseries X:

» Textbox « » Textfile « » CSV «

1687 0 1508 0 1507 0 1385 0 1632 0 1511 0 1559 0 1630 0 1579 0 1653 0 2152 0 2148 0 1752 0 1765 0 1717 0 1558 0 1575 0 1520 0 1805 0 1800 0 1719 0 2008 0 2242 0 2478 0 2030 0 1655 0 1693 0 1623 0 1805 0 1746 0 1795 0 1926 0 1619 0 1992 0 2233 0 2192 0 2080 0 1768 0 1835 0 1569 0 1976 0 1853 0 1965 0 1689 0 1778 0 1976 0 2397 0 2654 0 2097 0 1963 0 1677 0 1941 0 2003 0 1813 0 2012 0 1912 0 2084 0 2080 0 2118 0 2150 0 1608 0 1503 0 1548 0 1382 0 1731 0 1798 0 1779 0 1887 0 2004 0 2077 0 2092 0 2051 0 1577 0 1356 0 1652 0 1382 0 1519 0 1421 0 1442 0 1543 0 1656 0 1561 0 1905 0 2199 0 1473 0 1655 0 1407 0 1395 0 1530 0 1309 0 1526 0 1327 0 1627 0 1748 0 1958 0 2274 0 1648 0 1401 0 1411 0 1403 0 1394 0 1520 0 1528 0 1643 0 1515 0 1685 0 2000 0 2215 0 1956 0 1462 0 1563 0 1459 0 1446 0 1622 0 1657 0 1638 0 1643 0 1683 0 2050 0 2262 0 1813 0 1445 0 1762 0 1461 0 1556 0 1431 0 1427 0 1554 0 1645 0 1653 0 2016 0 2207 0 1665 0 1361 0 1506 0 1360 0 1453 0 1522 0 1460 0 1552 0 1548 0 1827 0 1737 0 1941 0 1474 0 1458 0 1542 0 1404 0 1522 0 1385 0 1641 0 1510 0 1681 0 1938 0 1868 0 1726 0 1456 0 1445 0 1456 0 1365 0 1487 0 1558 0 1488 0 1684 0 1594 0 1850 0 1998 0 2079 0 1494 0 1057 1 1218 1 1168 1 1236 1 1076 1 1174 1 1139 1 1427 1 1487 1 1483 1 1513 1 1357 1 1165 1 1282 1 1110 1 1297 1 1185 1 1222 1 1284 1 1444 1 1575 1 1737 1 1763 1

Text written by user:

Output produced by software:

Enter (or paste) a matrix (table) containing all data (time) series. Every column represents a different variable and must be delimited by a space or Tab. Every row represents a period in time (or category) and must be delimited by hard returns. The easiest way to enter data is to copy and paste a block of spreadsheet cells. Please, do not use commas or spaces to seperate groups of digits!

Summary of compuational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	8 seconds
R Server	'Herman Ole Andreas Wold' @ 193.190.124.10:1001

Multiple Linear Regression - Estimated Regression Equation

y[t] = + 1717.75147928994 -396.055827116028x[t] + e[t]

Multiple Linear Regression - Ordinary Least Squares
Variable	Parameter	S.D.	T-STAT H0: parameter = 0	2-tail p-value	1-tail p-value
(Intercept)	1717.75147928994	20.000334	85.8861	0	0
x	-396.055827116028	57.786173	-6.8538	0	0

Multiple Linear Regression - Regression Statistics
Multiple R	0.445226892939612
R-squared	0.198226986196661
Adjusted R-squared	0.194007128229275
F-TEST (value)	46.9748005095662
F-TEST (DF numerator)	1
F-TEST (DF denominator)	190
p-value	9.762957109416e-11
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	260.004336317031
Sum Squared Residuals	12844428.4316954

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	1687	1717.75147928994	-30.7514792899354
2	1508	1717.75147928994	-209.751479289941
3	1507	1717.75147928994	-210.751479289941
4	1385	1717.75147928994	-332.751479289941
5	1632	1717.75147928994	-85.7514792899409
6	1511	1717.75147928994	-206.751479289941
7	1559	1717.75147928994	-158.751479289941
8	1630	1717.75147928994	-87.7514792899409
9	1579	1717.75147928994	-138.751479289941
10	1653	1717.75147928994	-64.7514792899408
11	2152	1717.75147928994	434.248520710059
12	2148	1717.75147928994	430.248520710059
13	1752	1717.75147928994	34.2485207100591
14	1765	1717.75147928994	47.2485207100591
15	1717	1717.75147928994	-0.751479289940856
16	1558	1717.75147928994	-159.751479289941
17	1575	1717.75147928994	-142.751479289941
18	1520	1717.75147928994	-197.751479289941
19	1805	1717.75147928994	87.2485207100591
20	1800	1717.75147928994	82.2485207100591
21	1719	1717.75147928994	1.24852071005914
22	2008	1717.75147928994	290.248520710059
23	2242	1717.75147928994	524.248520710059
24	2478	1717.75147928994	760.248520710059
25	2030	1717.75147928994	312.248520710059
26	1655	1717.75147928994	-62.7514792899409
27	1693	1717.75147928994	-24.7514792899409
28	1623	1717.75147928994	-94.7514792899409
29	1805	1717.75147928994	87.2485207100591
30	1746	1717.75147928994	28.2485207100591
31	1795	1717.75147928994	77.2485207100591
32	1926	1717.75147928994	208.248520710059
33	1619	1717.75147928994	-98.7514792899409
34	1992	1717.75147928994	274.248520710059
35	2233	1717.75147928994	515.248520710059
36	2192	1717.75147928994	474.248520710059
37	2080	1717.75147928994	362.248520710059
38	1768	1717.75147928994	50.2485207100591
39	1835	1717.75147928994	117.248520710059
40	1569	1717.75147928994	-148.751479289941
41	1976	1717.75147928994	258.248520710059
42	1853	1717.75147928994	135.248520710059
43	1965	1717.75147928994	247.248520710059
44	1689	1717.75147928994	-28.7514792899409
45	1778	1717.75147928994	60.2485207100591
46	1976	1717.75147928994	258.248520710059
47	2397	1717.75147928994	679.248520710059
48	2654	1717.75147928994	936.24852071006
49	2097	1717.75147928994	379.248520710059
50	1963	1717.75147928994	245.248520710059
51	1677	1717.75147928994	-40.7514792899409
52	1941	1717.75147928994	223.248520710059
53	2003	1717.75147928994	285.248520710059
54	1813	1717.75147928994	95.2485207100591
55	2012	1717.75147928994	294.248520710059
56	1912	1717.75147928994	194.248520710059
57	2084	1717.75147928994	366.248520710059
58	2080	1717.75147928994	362.248520710059
59	2118	1717.75147928994	400.248520710059
60	2150	1717.75147928994	432.248520710059
61	1608	1717.75147928994	-109.751479289941
62	1503	1717.75147928994	-214.751479289941
63	1548	1717.75147928994	-169.751479289941
64	1382	1717.75147928994	-335.751479289941
65	1731	1717.75147928994	13.2485207100591
66	1798	1717.75147928994	80.2485207100591
67	1779	1717.75147928994	61.2485207100591
68	1887	1717.75147928994	169.248520710059
69	2004	1717.75147928994	286.248520710059
70	2077	1717.75147928994	359.248520710059
71	2092	1717.75147928994	374.248520710059
72	2051	1717.75147928994	333.248520710059
73	1577	1717.75147928994	-140.751479289941
74	1356	1717.75147928994	-361.751479289941
75	1652	1717.75147928994	-65.7514792899408
76	1382	1717.75147928994	-335.751479289941
77	1519	1717.75147928994	-198.751479289941
78	1421	1717.75147928994	-296.751479289941
79	1442	1717.75147928994	-275.751479289941
80	1543	1717.75147928994	-174.751479289941
81	1656	1717.75147928994	-61.7514792899409
82	1561	1717.75147928994	-156.751479289941
83	1905	1717.75147928994	187.248520710059
84	2199	1717.75147928994	481.248520710059
85	1473	1717.75147928994	-244.751479289941
86	1655	1717.75147928994	-62.7514792899409
87	1407	1717.75147928994	-310.751479289941
88	1395	1717.75147928994	-322.751479289941
89	1530	1717.75147928994	-187.751479289941
90	1309	1717.75147928994	-408.751479289941
91	1526	1717.75147928994	-191.751479289941
92	1327	1717.75147928994	-390.751479289941
93	1627	1717.75147928994	-90.7514792899409
94	1748	1717.75147928994	30.2485207100591
95	1958	1717.75147928994	240.248520710059
96	2274	1717.75147928994	556.248520710059
97	1648	1717.75147928994	-69.7514792899408
98	1401	1717.75147928994	-316.751479289941
99	1411	1717.75147928994	-306.751479289941
100	1403	1717.75147928994	-314.751479289941
101	1394	1717.75147928994	-323.751479289941
102	1520	1717.75147928994	-197.751479289941
103	1528	1717.75147928994	-189.751479289941
104	1643	1717.75147928994	-74.7514792899409
105	1515	1717.75147928994	-202.751479289941
106	1685	1717.75147928994	-32.7514792899409
107	2000	1717.75147928994	282.248520710059
108	2215	1717.75147928994	497.248520710059
109	1956	1717.75147928994	238.248520710059
110	1462	1717.75147928994	-255.751479289941
111	1563	1717.75147928994	-154.751479289941
112	1459	1717.75147928994	-258.751479289941
113	1446	1717.75147928994	-271.751479289941
114	1622	1717.75147928994	-95.7514792899409
115	1657	1717.75147928994	-60.7514792899409
116	1638	1717.75147928994	-79.7514792899409
117	1643	1717.75147928994	-74.7514792899409
118	1683	1717.75147928994	-34.7514792899409
119	2050	1717.75147928994	332.248520710059
120	2262	1717.75147928994	544.248520710059
121	1813	1717.75147928994	95.2485207100591
122	1445	1717.75147928994	-272.751479289941
123	1762	1717.75147928994	44.2485207100591
124	1461	1717.75147928994	-256.751479289941
125	1556	1717.75147928994	-161.751479289941
126	1431	1717.75147928994	-286.751479289941
127	1427	1717.75147928994	-290.751479289941
128	1554	1717.75147928994	-163.751479289941
129	1645	1717.75147928994	-72.7514792899409
130	1653	1717.75147928994	-64.7514792899408
131	2016	1717.75147928994	298.248520710059
132	2207	1717.75147928994	489.248520710059
133	1665	1717.75147928994	-52.7514792899409
134	1361	1717.75147928994	-356.751479289941
135	1506	1717.75147928994	-211.751479289941
136	1360	1717.75147928994	-357.751479289941
137	1453	1717.75147928994	-264.751479289941
138	1522	1717.75147928994	-195.751479289941
139	1460	1717.75147928994	-257.751479289941
140	1552	1717.75147928994	-165.751479289941
141	1548	1717.75147928994	-169.751479289941
142	1827	1717.75147928994	109.248520710059
143	1737	1717.75147928994	19.2485207100591
144	1941	1717.75147928994	223.248520710059
145	1474	1717.75147928994	-243.751479289941
146	1458	1717.75147928994	-259.751479289941
147	1542	1717.75147928994	-175.751479289941
148	1404	1717.75147928994	-313.751479289941
149	1522	1717.75147928994	-195.751479289941
150	1385	1717.75147928994	-332.751479289941
151	1641	1717.75147928994	-76.7514792899409
152	1510	1717.75147928994	-207.751479289941
153	1681	1717.75147928994	-36.7514792899409
154	1938	1717.75147928994	220.248520710059
155	1868	1717.75147928994	150.248520710059
156	1726	1717.75147928994	8.24852071005914
157	1456	1717.75147928994	-261.751479289941
158	1445	1717.75147928994	-272.751479289941
159	1456	1717.75147928994	-261.751479289941
160	1365	1717.75147928994	-352.751479289941
161	1487	1717.75147928994	-230.751479289941
162	1558	1717.75147928994	-159.751479289941
163	1488	1717.75147928994	-229.751479289941
164	1684	1717.75147928994	-33.7514792899409
165	1594	1717.75147928994	-123.751479289941
166	1850	1717.75147928994	132.248520710059
167	1998	1717.75147928994	280.248520710059
168	2079	1717.75147928994	361.248520710059
169	1494	1717.75147928994	-223.751479289941
170	1057	1321.69565217391	-264.695652173913
171	1218	1321.69565217391	-103.695652173913
172	1168	1321.69565217391	-153.695652173913
173	1236	1321.69565217391	-85.695652173913
174	1076	1321.69565217391	-245.695652173913
175	1174	1321.69565217391	-147.695652173913
176	1139	1321.69565217391	-182.695652173913
177	1427	1321.69565217391	105.304347826087
178	1487	1321.69565217391	165.304347826087
179	1483	1321.69565217391	161.304347826087
180	1513	1321.69565217391	191.304347826087
181	1357	1321.69565217391	35.3043478260869
182	1165	1321.69565217391	-156.695652173913
183	1282	1321.69565217391	-39.6956521739131
184	1110	1321.69565217391	-211.695652173913
185	1297	1321.69565217391	-24.6956521739131
186	1185	1321.69565217391	-136.695652173913
187	1222	1321.69565217391	-99.695652173913
188	1284	1321.69565217391	-37.6956521739131
189	1444	1321.69565217391	122.304347826087
190	1575	1321.69565217391	253.304347826087
191	1737	1321.69565217391	415.304347826087
192	1763	1321.69565217391	441.304347826087

Charts produced by software:

http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/16/t1195223948kusiqrwokekmskp/1wlai1195224193.png (open in new window)

http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/16/t1195223948kusiqrwokekmskp/1wlai1195224193.ps (open in new window)

http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/16/t1195223948kusiqrwokekmskp/2z9ku1195224193.png (open in new window)

http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/16/t1195223948kusiqrwokekmskp/2z9ku1195224193.ps (open in new window)

http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/16/t1195223948kusiqrwokekmskp/302p91195224193.png (open in new window)

http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/16/t1195223948kusiqrwokekmskp/302p91195224193.ps (open in new window)

http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/16/t1195223948kusiqrwokekmskp/4m7nd1195224193.png (open in new window)

http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/16/t1195223948kusiqrwokekmskp/4m7nd1195224193.ps (open in new window)

http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/16/t1195223948kusiqrwokekmskp/54rsv1195224193.png (open in new window)

http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/16/t1195223948kusiqrwokekmskp/54rsv1195224193.ps (open in new window)

http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/16/t1195223948kusiqrwokekmskp/6ci6v1195224193.png (open in new window)

http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/16/t1195223948kusiqrwokekmskp/6ci6v1195224193.ps (open in new window)

http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/16/t1195223948kusiqrwokekmskp/7a15f1195224193.png (open in new window)

http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/16/t1195223948kusiqrwokekmskp/7a15f1195224193.ps (open in new window)

http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/16/t1195223948kusiqrwokekmskp/8j2161195224193.png (open in new window)

http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/16/t1195223948kusiqrwokekmskp/8j2161195224193.ps (open in new window)

http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/16/t1195223948kusiqrwokekmskp/9w5b51195224193.png (open in new window)

http://127.0.0.1/wessadotnet/public_html/freestatisticsdotorg/blog/date/2007/Nov/16/t1195223948kusiqrwokekmskp/9w5b51195224193.ps (open in new window)

Parameters:

par1 = 1 ; par2 = Do not include Seasonal Dummies ; par3 = No Linear Trend ;

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

library(lattice)

par1 <- as.numeric(par1)

x <- t(y)

k <- length(x[1,])

n <- length(x[,1])

x1 <- cbind(x[,par1], x[,1:k!=par1])

mycolnames <- c(colnames(x)[par1], colnames(x)[1:k!=par1])

colnames(x1) <- mycolnames #colnames(x)[par1]

x <- x1

if (par3 == 'First Differences'){

x2 <- array(0, dim=c(n-1,k), dimnames=list(1:(n-1), paste('(1-B)',colnames(x),sep='')))

for (i in 1:n-1) {

for (j in 1:k) {

x2[i,j] <- x[i+1,j] - x[i,j]

}

}

x <- x2

}

if (par2 == 'Include Monthly Dummies'){

x2 <- array(0, dim=c(n,11), dimnames=list(1:n, paste('M', seq(1:11), sep ='')))

for (i in 1:11){

x2[seq(i,n,12),i] <- 1

}

x <- cbind(x, x2)

}

if (par2 == 'Include Quarterly Dummies'){

x2 <- array(0, dim=c(n,3), dimnames=list(1:n, paste('Q', seq(1:3), sep ='')))

for (i in 1:3){

x2[seq(i,n,4),i] <- 1

}

x <- cbind(x, x2)

}

k <- length(x[1,])

if (par3 == 'Linear Trend'){

x <- cbind(x, c(1:n))

colnames(x)[k+1] <- 't'

}

x

k <- length(x[1,])

df <- as.data.frame(x)

(mylm <- lm(df))

(mysum <- summary(mylm))

bitmap(file='test0.png')

plot(x[,1], type='l', main='Actuals and Interpolation', ylab='value of Actuals and Interpolation (dots)', xlab='time or index')

points(x[,1]-mysum$resid)

grid()

dev.off()

bitmap(file='test1.png')

plot(mysum$resid, type='b', pch=19, main='Residuals', ylab='value of Residuals', xlab='time or index')

grid()

dev.off()

bitmap(file='test2.png')

hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals')

grid()

dev.off()

bitmap(file='test3.png')

densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals')

dev.off()

bitmap(file='test4.png')

qqnorm(mysum$resid, main='Residual Normal Q-Q Plot')

grid()

dev.off()

(myerror <- as.ts(mysum$resid))

bitmap(file='test5.png')

dum <- cbind(lag(myerror,k=1),myerror)

dum

dum1 <- dum[2:length(myerror),]

dum1

z <- as.data.frame(dum1)

z

plot(z,main=paste('Residual Lag plot, lowess, and regression line'), ylab='values of Residuals', xlab='lagged values of Residuals')

lines(lowess(z))

abline(lm(z))

grid()

dev.off()

bitmap(file='test6.png')

acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function')

grid()

dev.off()

bitmap(file='test7.png')

pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function')

grid()

dev.off()

bitmap(file='test8.png')

opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0))

plot(mylm, las = 1, sub='Residual Diagnostics')

par(opar)

dev.off()

load(file='createtable')

a<-table.start()

a<-table.row.start(a)

a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE)

a<-table.row.end(a)

myeq <- colnames(x)[1]

myeq <- paste(myeq, '[t] = ', sep='')

for (i in 1:k){

if (mysum$coefficients[i,1] > 0) myeq <- paste(myeq, '+', '')

myeq <- paste(myeq, mysum$coefficients[i,1], sep=' ')

if (rownames(mysum$coefficients)[i] != '(Intercept)') {

myeq <- paste(myeq, rownames(mysum$coefficients)[i], sep='')

if (rownames(mysum$coefficients)[i] != 't') myeq <- paste(myeq, '[t]', sep='')

}

}

myeq <- paste(myeq, ' + e[t]')

a<-table.row.start(a)

a<-table.element(a, myeq)

a<-table.row.end(a)

a<-table.end(a)

table.save(a,file='mytable1.tab')

a<-table.start()

a<-table.row.start(a)

a<-table.element(a,hyperlink('http://www.xycoon.com/ols1.htm','Multiple Linear Regression - Ordinary Least Squares',''), 6, TRUE)

a<-table.row.end(a)

a<-table.row.start(a)

a<-table.element(a,'Variable',header=TRUE)

a<-table.element(a,'Parameter',header=TRUE)

a<-table.element(a,'S.D.',header=TRUE)

a<-table.element(a,'T-STAT<br />H0: parameter = 0',header=TRUE)

a<-table.element(a,'2-tail p-value',header=TRUE)

a<-table.element(a,'1-tail p-value',header=TRUE)

a<-table.row.end(a)

for (i in 1:k){

a<-table.row.start(a)

a<-table.element(a,rownames(mysum$coefficients)[i],header=TRUE)

a<-table.element(a,mysum$coefficients[i,1])

a<-table.element(a, round(mysum$coefficients[i,2],6))

a<-table.element(a, round(mysum$coefficients[i,3],4))

a<-table.element(a, round(mysum$coefficients[i,4],6))

a<-table.element(a, round(mysum$coefficients[i,4]/2,6))

a<-table.row.end(a)

}

a<-table.end(a)

table.save(a,file='mytable2.tab')

a<-table.start()

a<-table.row.start(a)

a<-table.element(a, 'Multiple Linear Regression - Regression Statistics', 2, TRUE)

a<-table.row.end(a)

a<-table.row.start(a)

a<-table.element(a, 'Multiple R',1,TRUE)

a<-table.element(a, sqrt(mysum$r.squared))

a<-table.row.end(a)

a<-table.row.start(a)

a<-table.element(a, 'R-squared',1,TRUE)

a<-table.element(a, mysum$r.squared)

a<-table.row.end(a)

a<-table.row.start(a)

a<-table.element(a, 'Adjusted R-squared',1,TRUE)

a<-table.element(a, mysum$adj.r.squared)

a<-table.row.end(a)

a<-table.row.start(a)

a<-table.element(a, 'F-TEST (value)',1,TRUE)

a<-table.element(a, mysum$fstatistic[1])

a<-table.row.end(a)

a<-table.row.start(a)

a<-table.element(a, 'F-TEST (DF numerator)',1,TRUE)

a<-table.element(a, mysum$fstatistic[2])

a<-table.row.end(a)

a<-table.row.start(a)

a<-table.element(a, 'F-TEST (DF denominator)',1,TRUE)

a<-table.element(a, mysum$fstatistic[3])

a<-table.row.end(a)

a<-table.row.start(a)

a<-table.element(a, 'p-value',1,TRUE)

a<-table.element(a, 1-pf(mysum$fstatistic[1],mysum$fstatistic[2],mysum$fstatistic[3]))

a<-table.row.end(a)

a<-table.row.start(a)

a<-table.element(a, 'Multiple Linear Regression - Residual Statistics', 2, TRUE)

a<-table.row.end(a)

a<-table.row.start(a)

a<-table.element(a, 'Residual Standard Deviation',1,TRUE)

a<-table.element(a, mysum$sigma)

a<-table.row.end(a)

a<-table.row.start(a)

a<-table.element(a, 'Sum Squared Residuals',1,TRUE)

a<-table.element(a, sum(myerror*myerror))

a<-table.row.end(a)

a<-table.end(a)

table.save(a,file='mytable3.tab')

a<-table.start()

a<-table.row.start(a)

a<-table.element(a, 'Multiple Linear Regression - Actuals, Interpolation, and Residuals', 4, TRUE)

a<-table.row.end(a)

a<-table.row.start(a)

a<-table.element(a, 'Time or Index', 1, TRUE)

a<-table.element(a, 'Actuals', 1, TRUE)

a<-table.element(a, 'Interpolation<br />Forecast', 1, TRUE)

a<-table.element(a, 'Residuals<br />Prediction Error', 1, TRUE)

a<-table.row.end(a)

for (i in 1:n) {

a<-table.row.start(a)

a<-table.element(a,i, 1, TRUE)

a<-table.element(a,x[i])

a<-table.element(a,x[i]-mysum$resid[i])

a<-table.element(a,mysum$resid[i])

a<-table.row.end(a)

}

a<-table.end(a)

table.save(a,file='mytable4.tab')

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

Software written by Ed van Stee & Patrick Wessa

Disclaimer

Information provided on this web site is provided "AS IS" without warranty of any kind, either express or implied, including, without limitation, warranties of merchantability, fitness for a particular purpose, and noninfringement. We use reasonable efforts to include accurate and timely information and periodically update the information, and software without notice. However, we make no warranties or representations as to the accuracy or completeness of such information (or software), and we assume no liability or responsibility for errors or omissions in the content of this web site, or any software bugs in online applications. Your use of this web site is AT YOUR OWN RISK. Under no circumstances and under no legal theory shall we be liable to you or any other person for any direct, indirect, special, incidental, exemplary, or consequential damages arising from your access to, or use of, this web site.

We may request personal information to be submitted to our servers in order to be able to:

personalize online software applications according to your needs
enforce strict security rules with respect to the data that you upload (e.g. statistical data)
manage user sessions of online applications
alert you about important changes or upgrades in resources or applications

We NEVER allow other companies to directly offer registered users information about their products and services. Banner references and hyperlinks of third parties NEVER contain any personal data of the visitor.

We do NOT sell, nor transmit by any means, personal information, nor statistical data series uploaded by you to third parties.

We carefully protect your data from loss, misuse, alteration, and destruction. However, at any time, and under any circumstance you are solely responsible for managing your passwords, and keeping them secret.

We store a unique ANONYMOUS USER ID in the form of a small 'Cookie' on your computer. This allows us to track your progress when using this website which is necessary to create state-dependent features. The cookie is used for NO OTHER PURPOSE. At any time you may opt to disallow cookies from this website - this will not affect other features of this website.

We examine cookies that are used by third-parties (banner and online ads) very closely: abuse from third-parties automatically results in termination of the advertising contract without refund. We have very good reason to believe that the cookies that are produced by third parties (banner ads) do NOT cause any privacy or security risk.

FreeStatistics.org is safe. There is no need to download any software to use the applications and services contained in this website. Hence, your system's security is not compromised by their use, and your personal data - other than data you submit in the account application form, and the user-agent information that is transmitted by your browser - is never transmitted to our servers.

As a general rule, we do not log on-line behavior of individuals (other than normal logging of webserver 'hits'). However, in cases of abuse, hacking, unauthorized access, Denial of Service attacks, illegal copying, hotlinking, non-compliance with international webstandards (such as robots.txt), or any other harmful behavior, our system engineers are empowered to log, track, identify, publish, and ban misbehaving individuals - even if this leads to ban entire blocks of IP addresses, or disclosing user's identity.

FreeStatistics.org is powered by