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International Journal of Advanced Engineering, Management and Science (IJAEMS) [Vol-1, Issue-8, Nov- 2015]
ISSN : 2454-1311
www.ijaems.com Page | 7
Study on the relationship between tourism
economy and Economic growth in Hunan
Province
Ouyang Wen,Mai Qionghui, Zhou Lifang, Wu Hualing, Yu Xing*
Abstract— With the rapid development of the tourism
industry, the tourism industry in the national economy status
is particularly important. This paper collects the relevant
statistical data from 2013 to 1978 in Hunan Province, using
regression analysis and variance analysis to study the
relationship between regional tourism economy and
economic growth. The results show that there is a high
intensity of positive linear relationship between tourism
economy and economic growth in Hunan Province, and the
average level of GDP will increase by 972380000 yuan per
100000000 yuan.
Keywords—Regional tourism economy; regression
analysis; Hunan Province
I. INTRODUCTION
Since the reform and opening up, with the continuous
improvement of people's living standards, the desire to go
out tourism is also growing, so as to promote the rapid
growth of tourism, increase its position and role in the
national economy. And to evaluate the relationship between
the tourism industry and the national economy has been
from all walks of life of the controversial, since 1899,
Italy's Statistics Bureau bodi'ao (by): the "foreigners in
Italy's mobile and spend" since the statistical point of view,
it comments the tourism to the national economy influence
and role, study on the impact of tourism economy become
the academics in the field of long-term problems.
According to the Ghail[1]
(1976) based on the export driven
economy, tourism is an invisible export driven economic
growth model. The tourism industry is a kind of invisible
exports. If tourism is an invisible exports. In order to study
the economic growth of Philippines. As a result of the
economic growth of the developing countries. If we find
that tourism is a kind of invisible exports. If we find that
tourism is a kind of invisible. If we find that the growth of
tourism is a kind of invisible. If we find that the growth of
tourism has positive effect on economic growth. Is the
sample data of tourism industry. The three is tourism. The is
tourism. The is the sample data of tourism industry. The
three is tourism. The is that if the tourism is economic
growth. Is tourism. The sample data of tourism is economic
growth. If et al. Is tourism. If we find that the tourism
growth will be positive. Two. If we find that tourism growth
will be positive. If et al. (2007) collect and analyze the
sample data. As Brau[2]
et al. If we find out that tourism
specialization and economic growth. If we find that tourism
specialization and economic growth. Through comparative
analysis found that tourism specialization and economic
growth has been found. The comparison shows that if the
tourism specialization and economic growth has been found.
The comparison shows that: if the tourism specialization
and economic growth has been found. The comparison
shows that if the tourism has been Soukiazis and Proena[3]
(2008) based on the convergence hypothesis and
endogenous economic theory, the study of the impact of the
Portuguese tourism on the economic equilibrium growth,
the results show that the growth of per capita income will
eventually make the economic growth of the Portuguese
equilibrium.
The impact of domestic research on tourism economy
started late, some research on influencing Factors of
tourism economic growth, such as Zhang Xiang [4]
(2012)
International Journal of Advanced Engineering, Management and Science (IJAEMS) [Vol-1, Issue-8, Nov- 2015]
ISSN : 2454-1311
www.ijaems.com Page | 8
index influencing factors affecting the economic growth of
Hainan province tourism through the selection, using grey
relational analysis theory to analyze and calculate the
results, find the larger and the Hainan Provincial Tourism
economic growth the Turist Hotel association number,
postal service level and the influence of the government;
some relationship by using the method of tourism economy
and economic growth in the econometric analysis, such as
Lu Lei and Han Fuwen [5]
(2009) using the method of
cointegration analysis and Granger causality test, the study
of the relationship between Heilongjiang inbound tourism
and economic growth, the results found in there is a
dynamic relationship of long-term equilibrium, and the two
others are reciprocal causation relationship; regional
difference of tourism economy in between, such as Lu
Xiaobo [6]
(2014) by using the index method to evaluate the
tourism economic balance China tourism economic
disparity effect, the economic gap between the balance has
played a positive role, but significant differences between
me four regions of the country.
This paper studies the relationship between regional
tourism income and economic growth, taking Hunan
Province as an example, selecting the basic index of Hunan
tourism and economy, analyzing the current situation of
Hunan tourism and economic development, using the
method of regression analysis and variance analysis to
study the problem of how to increase the economic growth
of Hunan Tourism revenue.
II. HUNAN TOURISM AND ECONOMIC
DEVELOPMENT STATUS
Tourism in Hunan economy occupies very important
position, since the Hunan Province is the Ninth Party
Congress held, tourism industry in Hunan Province were
identified as the pillar industry, and its rich tourism
resources for the development of the tourism industry laid
the important foundation. .according to the 2012 Hunan
Province tourism industry development annual report
"shows that Hunan Province A-class tourist scenic spots of
209. The 5A level scenic spots 6, 4A class 64, 3A class102,
2A class 35, A grade 2, star rated hotels 271, the five-star17,
four-star 64, three-star 102,two-star 220, one-star
10 ;international travel agency 789, the outbound tour 33,
five-star travel eight, a four-star travel agency 34, Samsung
travel agency 49; agriculture tourism demonstration point
138, the national agricultural tourism demonstration sites,
the national industrial tourism demonstration sites, the
provincial agricultural tourism demonstration sites, the
Provincial Tourism Industrial Tourism demonstration sites.
The rapid development of the tourism industry in Hunan
province not only has greatly promoted the comprehensive
progress of society but also improved the people's
livelihood. As of 2010, Hunan's tourism industry has
formed about 3200000 employment opportunities, which
ease the pressure on employment of the financial crisis.
Early in the "Eleventh Five Year" period, Hunan Province
basically completed the "five vertical and seven horizontal"
highway network in the "three vertical and six horizontal,
formed around the provincial capital Changsha four hour
economic circle. In addition, the Hunan provincial
governments at all levels have enacted the "basic conditions
for rural tourism services in Hunan province", "Hunan
province rural tourism service star rating criteria", "Hunan
Province, province, the evaluation criteria for the evaluation
of tourism", "Hunan Province travel agency stars and
evaluation standards" and other policies and measures to
further improve the tourism security system in Hunan
province.
Currently has basically met the needs of the "big tourism,
industry, development of the" conditions of the province of
Hunan Tourism positive tourism strong province forward.
In recent years, Hunan Province's tourism industry
continues to expand the scale, as shown in Table 1, the total
tourism revenue realized an average 20% of high-speed
growth, rising proportion in the national economy of the
province, the 2012 achieve total tourism revenue 2234.1_yi
International Journal of Advanced Engineering, Management and Science (IJAEMS) [Vol-1, Issue-8, Nov- 2015]
ISSN : 2454-1311
www.ijaems.com Page | 9
billion yuan, following the 2009 entered into the hundreds
of billions of industrial industry exceeded 200, 2013
implementation total tourism revenue 2681.86_yi billion
yuan, equivalent to 10.95% of the GDP of the whole
province, when GDP also reached a new height
24501.67_yi billion yuan.
Table 1 2007-2013 Hunan tourism and economic
development
Ye
ar
Tourism
revenue
(billion)
rate
(%)
GDP
(billion)
growt
h rate
(%) s
grav
ity
(%))
200
7
732.71 24.52 9439.60 22.77 7.76
200
8
851.75 16.25
11555.0
0
22.41 7.37
200
9
1099.47 29.08
13059.6
9
13.02 8.42
201
0
1425.80 29.68
16037.9
6
22.81 8.89
201
1
1785.78 25.25
19669.5
6
22.64 9.08
201
2
2234.10 25.10
22154.2
3
12.63
10.0
8
201
3
2681.86 20.04
24501.6
7
10.60
10.9
5
III. AN EMPIRICALANALYSIS OF THE
RELATIONSHIP BETWEEN TOURISM
INCOME AND ECONOMIC GROWTH IN
HUNAN
3.1The regression analysis of tourism income and
economic growth
Data from the "Hunan Statistical Yearbook", the time limit
for 1978 to 2013 (as shown in Figure 1), the t said the year,
X said tourism revenue (billion), y said GDP (billion).
From Figure 1, it can be seen clearly that the Hunan
tourism and economic development of the line with a
similar trend, since the reform and opening up, Hunan
tourism and economic development has been rapid
development.
Fig. 1 1978-2013 Hunan tourism and economic
development of the line chart
In this paper, we use R language to deal with the data, in
the Hunan tourism income and economic growth regression
analysis, first calculate the correlation coefficient matrix,
the calculation results are shown in table 2.
Table 2 correlation coefficient matrix of Y and X
Variable x y
x 1.0000 0.9886
y 0.9886 1.0000
From table 2, we can see that the correlation coefficient of
X and 0.9886>0 is y, which shows that there is a linear
positive correlation between high intensity, and can be
quantitatively analyzed by establishing a regression model.
Assuming that y is the dependent variable and X is the
independent variable, the linear regression model is the
model of the:
0 1y xβ β= +
Among them, 0β for the constant term, 1β for the
regression coefficient. The parameters are estimated and the
results are as follows.
Table 3 regression parameter estimation
Coefficie
nt
standard
error
t test value P
International Journal of Advanced Engineering, Management and Science (IJAEMS) [Vol-1, Issue-8, Nov- 2015]
ISSN : 2454-1311
www.ijaems.com Page | 10
Constant 1212.198
3
193.006
0
6.281 3.73e-07***
x 9.7238 0.2538 38.312 <2e-16***
The standard residuals for the degree of freedom of 1005 are
34,Multiple coefficient: 0.9774, adjust the coefficient: 0.9767,F test:
1468, the cumulative P value: <2.2e-16
Note: * * * indicated at the level of 0%
The results show that the parameters are significant at 0%
level, and the regression model of the tourism income and
GDP is the one:
2
1212.1983 9.7238
(193.0060) (0.2538)
(6.281) (38.312)
0.9767 1468
y x
se
t
R F
= +
=
=
= =
By the above model can be seen, the fitting effect is good,
reached 0.9767, and the tourism income and GDP has a
positive effect, the regression coefficient is 9.7238, the
tourism income per 100000000 yuan, an average of GDP
will increase 972380000 yuan. Tourism as a comprehensive
industry, the increase of tourism income will certainly
promote the growth of other industries, so as to promote
economic growth, so the model is in line with a certain
economic significance.
To test whether the model has statistical significance, this
paper uses the method of analysis of variance to test the
model.
The test hypothesis of variance analysis
is 0 0 1: 0pH β β β= = ⋅⋅⋅ = = that there is no regression
relationship between the dependent variable and the
independent variables , and the multiple regression
equation has no meaning. The alternative hypothesis is
1 0 1: pH β β β⋅⋅⋅、 not all 0, when H0 was there:
= ~ (p,n p 1)R
E
MS
F F
MS
− −
If
2 2
1 1
ˆ ˆ(y y ) (y y )
,
1
n n
i i i ii i
R EMS MS
p n p
= =
− −
= =
− −
∑ ∑ , That
F obeys F distribution..
The results are shown in the 4 table using the R
language:
Table 4 Analysis of variance
Sourc
e
Sum of
squares
degr
ees
of
free
dom
mean
square
F-mea
sure
P value
Regre
ssion
14838752
97
1
148387
5297
1467.
8
<2.2e-16
***
Error 34372777 34
101096
4
Total
15182480
74
35
Note: * * * indicated at the level of 0%
From the results of analysis of variance, it can be seen that
the model of P<2.2e-16 , namely the model passed the test,
explained in a=0 significant level, the regression model is
meaningful.
3.2 analysis on the contribution rate of tourism income
and economic growth
In order to further study the relationship between tourism
income and economic growth, the economic growth of
Hunan's tourism revenue growth is discussed. This paper is
based on the economic growth contribution rate of China's
Statistical Press 2010, which reflects the contribution of a
certain industry to the growth of the gross national product.
The calculation formula is as follows:
/t t tR x y= ∆ ∆
International Journal of Advanced Engineering, Management and Science (IJAEMS) [Vol-1, Issue-8, Nov- 2015]
ISSN : 2454-1311
www.ijaems.com Page | 11
Fig. 2 Hunan tourism contribution rate of economic growth
chart
Where t said the year, tR said the economic growth
contribution rate, tx∆ said the i
Incremental revenue of the tourism industry, said the
incremental GDP. Calculation results are shown in figure 2
From Figure 2 can be seen that the contribution of tourism
to economic growth in 1991 to a more obvious role in the
overall upward trend, until 2001 reached its peak 22.02%,
and then due to the impact of SARS in 2003 and 2008
financial crisis has emerged in 2003 to 2013 the average
annual economic growth rate of 11.71%, that is 10 years of
economic growth in 11.71% is driven by the growth of
tourism revenue. With the rapid development of tourism,
the tourism income is becoming more and more important
in the process of economic development.
IV. CONCLUSION
Hunan is a major agricultural province, its tourism
economy has many impacts on economic growth. Therefore,
it should be based on the development of tourism industry,
and analyze the trend of the changes of the statistical index
data.
In the present situation of Hunan tourism and economic
development, the empirical analysis shows that there is a
high intensity positive linear relationship between Hunan's
tourism income and economic growth, and the correlation
coefficient is 0.9886. Through the establishment of
regression model, this paper shows that the tourism income
of Hunan is 100000000 yuan per 972380000 yuan, the GDP
will increase by 9.72386 billion yuan, the model is not only
in line with the economic significance, but also through the
analysis of variance, which has certain statistical
significance. In addition, this paper uses the formula to
calculate the contribution rate of economic growth, and
further studies the relationship between tourism income and
economic growth, the results show that with the
development of the current era, the role of tourism income
on economic growth is becoming more and more obvious.
In short, the relevant model of this paper reflects the
relationship between tourism economy and economic
growth in Hunan. The calculation formula of economic
growth contribution rate is applicable to other areas, which
enriches the theoretical basis of regional tourism economy,
and provides a new reference for Hunan tourism policy.
ACKNOWLEDGEMENT
We acknowledge Hunan province university students
research learning and innovative experimental
project(2015).
REFERENCE
[1] Ghali M A.Tourism and Economic Growth:An
Empirical Study[J]. Economic Development &
Cultural Change,1976,24(3):527- 538.
[2] Brau R,Lanza A and Pigliaru F.How Fast Are Sm al l
Tourism Countries Growing? Evidence from the Data
for 1980—2003[J].Tourism Economics, 2007,
13(4):603-613
[3] Soukiazis E and Proena S. Tourism as an Alternative
Source of Regional Growth in Portugal:A Panel Data
Analysis at NUTS II and III Levels[J]. Portuguese
Economic Journal,2008,7(1):43-61.
[4] Zhang Xiang. The study on the influence factors of the
tourism economic growth in Hainan province [D].
Hainan University, 2012
International Journal of Advanced Engineering, Management and Science (IJAEMS) [Vol-1, Issue-8, Nov- 2015]
ISSN : 2454-1311
www.ijaems.com Page | 12
[5] Lu Lei, Han Fuwen. Based on the Cointegration and
Granger causality analysis of Heilongjiang inbound
tourism and economic growth [J]. The Chinese
forestry economy, 2009,01:31-33+39.
[6] Chen Jing, Wang Lihua. Review and Prospect of the
tourism economic impact of the [J]. Tourism Forum,
2009,02:264-269.
[7] Ding Yujuan, Lu Xiaobo, Guo di. Effect of regional
economic disparity in China's tourism economic
balance of regional economic disparities [J].
geographic and geographic information science,
2014,06:49-52+93.
[8] Manxi. Correlation of [J]. eco tourism economy and
GDP, 2010,08:34-36.
[9] Zhang Shibing. Geographical development of inbound
tourism and economic growth in Hunan province to
study the relationship between [J]., 2013,07:182-186.
[10]Zhang Hui, Wang Xiangyu, Zheng Haibo. Empirical
research on the correlation between the inbound
tourism and economic growth in Henan province [J].
Anhui science, 2013,11:2083-2088.
[11]Tang Fang, teacher modest friend, Yongjing. Xi'an
inbound tourism development and economic growth
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[12]Xu Yong. The measurement and analysis of the
relationship between domestic tourism development
and economic growth in China [D]. Dongbei
University of Finance and Economics, 2012
[13]Zhou Wenli. Overview of the impact of domestic and
foreign tourism on economic growth [J]. economic
geography, 2011,08:1402-1408.
[14]Provincial Tourism Bureau of Hunan Province, Hunan
Province, province, "the Twelfth Five Year Plan"
http://www.hunan.gov.cn/2015xxgk/szfzcbm_8834/tjb
m_6985/ghjh/201507/t20150709_1793785.html
[DB/OL].
[15]Dou Yindi, Yang Sen, Hu Kailing, Li Bohua.
Empirical Study on the relationship between tourism
development and economic growth: a case study of
Hunan province [J]. Journal of Hengyang Normal
University, 2012,03:105-108.
[16]Luo WB, Fei Xiong Xu, he Xiaorong. Tourism
development and economic growth, the tertiary
industry growth dynamic relationship -- Based on
China from 1978 to 2008 data empirical test [J].
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2 ijaems nov-2015-3-study on the relationship between tourism economy and economic growth in hunan province

  • 1. International Journal of Advanced Engineering, Management and Science (IJAEMS) [Vol-1, Issue-8, Nov- 2015] ISSN : 2454-1311 www.ijaems.com Page | 7 Study on the relationship between tourism economy and Economic growth in Hunan Province Ouyang Wen,Mai Qionghui, Zhou Lifang, Wu Hualing, Yu Xing* Abstract— With the rapid development of the tourism industry, the tourism industry in the national economy status is particularly important. This paper collects the relevant statistical data from 2013 to 1978 in Hunan Province, using regression analysis and variance analysis to study the relationship between regional tourism economy and economic growth. The results show that there is a high intensity of positive linear relationship between tourism economy and economic growth in Hunan Province, and the average level of GDP will increase by 972380000 yuan per 100000000 yuan. Keywords—Regional tourism economy; regression analysis; Hunan Province I. INTRODUCTION Since the reform and opening up, with the continuous improvement of people's living standards, the desire to go out tourism is also growing, so as to promote the rapid growth of tourism, increase its position and role in the national economy. And to evaluate the relationship between the tourism industry and the national economy has been from all walks of life of the controversial, since 1899, Italy's Statistics Bureau bodi'ao (by): the "foreigners in Italy's mobile and spend" since the statistical point of view, it comments the tourism to the national economy influence and role, study on the impact of tourism economy become the academics in the field of long-term problems. According to the Ghail[1] (1976) based on the export driven economy, tourism is an invisible export driven economic growth model. The tourism industry is a kind of invisible exports. If tourism is an invisible exports. In order to study the economic growth of Philippines. As a result of the economic growth of the developing countries. If we find that tourism is a kind of invisible exports. If we find that tourism is a kind of invisible. If we find that the growth of tourism is a kind of invisible. If we find that the growth of tourism has positive effect on economic growth. Is the sample data of tourism industry. The three is tourism. The is tourism. The is the sample data of tourism industry. The three is tourism. The is that if the tourism is economic growth. Is tourism. The sample data of tourism is economic growth. If et al. Is tourism. If we find that the tourism growth will be positive. Two. If we find that tourism growth will be positive. If et al. (2007) collect and analyze the sample data. As Brau[2] et al. If we find out that tourism specialization and economic growth. If we find that tourism specialization and economic growth. Through comparative analysis found that tourism specialization and economic growth has been found. The comparison shows that if the tourism specialization and economic growth has been found. The comparison shows that: if the tourism specialization and economic growth has been found. The comparison shows that if the tourism has been Soukiazis and Proena[3] (2008) based on the convergence hypothesis and endogenous economic theory, the study of the impact of the Portuguese tourism on the economic equilibrium growth, the results show that the growth of per capita income will eventually make the economic growth of the Portuguese equilibrium. The impact of domestic research on tourism economy started late, some research on influencing Factors of tourism economic growth, such as Zhang Xiang [4] (2012)
  • 2. International Journal of Advanced Engineering, Management and Science (IJAEMS) [Vol-1, Issue-8, Nov- 2015] ISSN : 2454-1311 www.ijaems.com Page | 8 index influencing factors affecting the economic growth of Hainan province tourism through the selection, using grey relational analysis theory to analyze and calculate the results, find the larger and the Hainan Provincial Tourism economic growth the Turist Hotel association number, postal service level and the influence of the government; some relationship by using the method of tourism economy and economic growth in the econometric analysis, such as Lu Lei and Han Fuwen [5] (2009) using the method of cointegration analysis and Granger causality test, the study of the relationship between Heilongjiang inbound tourism and economic growth, the results found in there is a dynamic relationship of long-term equilibrium, and the two others are reciprocal causation relationship; regional difference of tourism economy in between, such as Lu Xiaobo [6] (2014) by using the index method to evaluate the tourism economic balance China tourism economic disparity effect, the economic gap between the balance has played a positive role, but significant differences between me four regions of the country. This paper studies the relationship between regional tourism income and economic growth, taking Hunan Province as an example, selecting the basic index of Hunan tourism and economy, analyzing the current situation of Hunan tourism and economic development, using the method of regression analysis and variance analysis to study the problem of how to increase the economic growth of Hunan Tourism revenue. II. HUNAN TOURISM AND ECONOMIC DEVELOPMENT STATUS Tourism in Hunan economy occupies very important position, since the Hunan Province is the Ninth Party Congress held, tourism industry in Hunan Province were identified as the pillar industry, and its rich tourism resources for the development of the tourism industry laid the important foundation. .according to the 2012 Hunan Province tourism industry development annual report "shows that Hunan Province A-class tourist scenic spots of 209. The 5A level scenic spots 6, 4A class 64, 3A class102, 2A class 35, A grade 2, star rated hotels 271, the five-star17, four-star 64, three-star 102,two-star 220, one-star 10 ;international travel agency 789, the outbound tour 33, five-star travel eight, a four-star travel agency 34, Samsung travel agency 49; agriculture tourism demonstration point 138, the national agricultural tourism demonstration sites, the national industrial tourism demonstration sites, the provincial agricultural tourism demonstration sites, the Provincial Tourism Industrial Tourism demonstration sites. The rapid development of the tourism industry in Hunan province not only has greatly promoted the comprehensive progress of society but also improved the people's livelihood. As of 2010, Hunan's tourism industry has formed about 3200000 employment opportunities, which ease the pressure on employment of the financial crisis. Early in the "Eleventh Five Year" period, Hunan Province basically completed the "five vertical and seven horizontal" highway network in the "three vertical and six horizontal, formed around the provincial capital Changsha four hour economic circle. In addition, the Hunan provincial governments at all levels have enacted the "basic conditions for rural tourism services in Hunan province", "Hunan province rural tourism service star rating criteria", "Hunan Province, province, the evaluation criteria for the evaluation of tourism", "Hunan Province travel agency stars and evaluation standards" and other policies and measures to further improve the tourism security system in Hunan province. Currently has basically met the needs of the "big tourism, industry, development of the" conditions of the province of Hunan Tourism positive tourism strong province forward. In recent years, Hunan Province's tourism industry continues to expand the scale, as shown in Table 1, the total tourism revenue realized an average 20% of high-speed growth, rising proportion in the national economy of the province, the 2012 achieve total tourism revenue 2234.1_yi
  • 3. International Journal of Advanced Engineering, Management and Science (IJAEMS) [Vol-1, Issue-8, Nov- 2015] ISSN : 2454-1311 www.ijaems.com Page | 9 billion yuan, following the 2009 entered into the hundreds of billions of industrial industry exceeded 200, 2013 implementation total tourism revenue 2681.86_yi billion yuan, equivalent to 10.95% of the GDP of the whole province, when GDP also reached a new height 24501.67_yi billion yuan. Table 1 2007-2013 Hunan tourism and economic development Ye ar Tourism revenue (billion) rate (%) GDP (billion) growt h rate (%) s grav ity (%)) 200 7 732.71 24.52 9439.60 22.77 7.76 200 8 851.75 16.25 11555.0 0 22.41 7.37 200 9 1099.47 29.08 13059.6 9 13.02 8.42 201 0 1425.80 29.68 16037.9 6 22.81 8.89 201 1 1785.78 25.25 19669.5 6 22.64 9.08 201 2 2234.10 25.10 22154.2 3 12.63 10.0 8 201 3 2681.86 20.04 24501.6 7 10.60 10.9 5 III. AN EMPIRICALANALYSIS OF THE RELATIONSHIP BETWEEN TOURISM INCOME AND ECONOMIC GROWTH IN HUNAN 3.1The regression analysis of tourism income and economic growth Data from the "Hunan Statistical Yearbook", the time limit for 1978 to 2013 (as shown in Figure 1), the t said the year, X said tourism revenue (billion), y said GDP (billion). From Figure 1, it can be seen clearly that the Hunan tourism and economic development of the line with a similar trend, since the reform and opening up, Hunan tourism and economic development has been rapid development. Fig. 1 1978-2013 Hunan tourism and economic development of the line chart In this paper, we use R language to deal with the data, in the Hunan tourism income and economic growth regression analysis, first calculate the correlation coefficient matrix, the calculation results are shown in table 2. Table 2 correlation coefficient matrix of Y and X Variable x y x 1.0000 0.9886 y 0.9886 1.0000 From table 2, we can see that the correlation coefficient of X and 0.9886>0 is y, which shows that there is a linear positive correlation between high intensity, and can be quantitatively analyzed by establishing a regression model. Assuming that y is the dependent variable and X is the independent variable, the linear regression model is the model of the: 0 1y xβ β= + Among them, 0β for the constant term, 1β for the regression coefficient. The parameters are estimated and the results are as follows. Table 3 regression parameter estimation Coefficie nt standard error t test value P
  • 4. International Journal of Advanced Engineering, Management and Science (IJAEMS) [Vol-1, Issue-8, Nov- 2015] ISSN : 2454-1311 www.ijaems.com Page | 10 Constant 1212.198 3 193.006 0 6.281 3.73e-07*** x 9.7238 0.2538 38.312 <2e-16*** The standard residuals for the degree of freedom of 1005 are 34,Multiple coefficient: 0.9774, adjust the coefficient: 0.9767,F test: 1468, the cumulative P value: <2.2e-16 Note: * * * indicated at the level of 0% The results show that the parameters are significant at 0% level, and the regression model of the tourism income and GDP is the one: 2 1212.1983 9.7238 (193.0060) (0.2538) (6.281) (38.312) 0.9767 1468 y x se t R F = + = = = = By the above model can be seen, the fitting effect is good, reached 0.9767, and the tourism income and GDP has a positive effect, the regression coefficient is 9.7238, the tourism income per 100000000 yuan, an average of GDP will increase 972380000 yuan. Tourism as a comprehensive industry, the increase of tourism income will certainly promote the growth of other industries, so as to promote economic growth, so the model is in line with a certain economic significance. To test whether the model has statistical significance, this paper uses the method of analysis of variance to test the model. The test hypothesis of variance analysis is 0 0 1: 0pH β β β= = ⋅⋅⋅ = = that there is no regression relationship between the dependent variable and the independent variables , and the multiple regression equation has no meaning. The alternative hypothesis is 1 0 1: pH β β β⋅⋅⋅、 not all 0, when H0 was there: = ~ (p,n p 1)R E MS F F MS − − If 2 2 1 1 ˆ ˆ(y y ) (y y ) , 1 n n i i i ii i R EMS MS p n p = = − − = = − − ∑ ∑ , That F obeys F distribution.. The results are shown in the 4 table using the R language: Table 4 Analysis of variance Sourc e Sum of squares degr ees of free dom mean square F-mea sure P value Regre ssion 14838752 97 1 148387 5297 1467. 8 <2.2e-16 *** Error 34372777 34 101096 4 Total 15182480 74 35 Note: * * * indicated at the level of 0% From the results of analysis of variance, it can be seen that the model of P<2.2e-16 , namely the model passed the test, explained in a=0 significant level, the regression model is meaningful. 3.2 analysis on the contribution rate of tourism income and economic growth In order to further study the relationship between tourism income and economic growth, the economic growth of Hunan's tourism revenue growth is discussed. This paper is based on the economic growth contribution rate of China's Statistical Press 2010, which reflects the contribution of a certain industry to the growth of the gross national product. The calculation formula is as follows: /t t tR x y= ∆ ∆
  • 5. International Journal of Advanced Engineering, Management and Science (IJAEMS) [Vol-1, Issue-8, Nov- 2015] ISSN : 2454-1311 www.ijaems.com Page | 11 Fig. 2 Hunan tourism contribution rate of economic growth chart Where t said the year, tR said the economic growth contribution rate, tx∆ said the i Incremental revenue of the tourism industry, said the incremental GDP. Calculation results are shown in figure 2 From Figure 2 can be seen that the contribution of tourism to economic growth in 1991 to a more obvious role in the overall upward trend, until 2001 reached its peak 22.02%, and then due to the impact of SARS in 2003 and 2008 financial crisis has emerged in 2003 to 2013 the average annual economic growth rate of 11.71%, that is 10 years of economic growth in 11.71% is driven by the growth of tourism revenue. With the rapid development of tourism, the tourism income is becoming more and more important in the process of economic development. IV. CONCLUSION Hunan is a major agricultural province, its tourism economy has many impacts on economic growth. Therefore, it should be based on the development of tourism industry, and analyze the trend of the changes of the statistical index data. In the present situation of Hunan tourism and economic development, the empirical analysis shows that there is a high intensity positive linear relationship between Hunan's tourism income and economic growth, and the correlation coefficient is 0.9886. Through the establishment of regression model, this paper shows that the tourism income of Hunan is 100000000 yuan per 972380000 yuan, the GDP will increase by 9.72386 billion yuan, the model is not only in line with the economic significance, but also through the analysis of variance, which has certain statistical significance. In addition, this paper uses the formula to calculate the contribution rate of economic growth, and further studies the relationship between tourism income and economic growth, the results show that with the development of the current era, the role of tourism income on economic growth is becoming more and more obvious. In short, the relevant model of this paper reflects the relationship between tourism economy and economic growth in Hunan. The calculation formula of economic growth contribution rate is applicable to other areas, which enriches the theoretical basis of regional tourism economy, and provides a new reference for Hunan tourism policy. ACKNOWLEDGEMENT We acknowledge Hunan province university students research learning and innovative experimental project(2015). REFERENCE [1] Ghali M A.Tourism and Economic Growth:An Empirical Study[J]. Economic Development & Cultural Change,1976,24(3):527- 538. [2] Brau R,Lanza A and Pigliaru F.How Fast Are Sm al l Tourism Countries Growing? Evidence from the Data for 1980—2003[J].Tourism Economics, 2007, 13(4):603-613 [3] Soukiazis E and Proena S. Tourism as an Alternative Source of Regional Growth in Portugal:A Panel Data Analysis at NUTS II and III Levels[J]. Portuguese Economic Journal,2008,7(1):43-61. [4] Zhang Xiang. The study on the influence factors of the tourism economic growth in Hainan province [D]. Hainan University, 2012
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