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2012. 12. 10

Business Statistics
- Disaggregation of energy saving
action -

1
0. Outline
1.
2.
3.
4.
5.

Objectives
Data
Analysis process
Result
Conclusion

2
1. Objectives
 Background
 Highly interested in human behavior concerning energy saving
since the disaster on 311, 2011 in Japan.
 Data analysis on amount and actions for energy saving is
important to understand this condition.

 Problems
 It is not still unclear how the relationship between amount of
energy saving and energy saving actions was explained.
 It is not still unclear how much energy saving is and which
actions can contribute to energy saving.

3
1. Objectives
 Objectives
 To understand the energy saving actions
 To disaggregate the amount of energy saving by each
action through multi-regression model
Energy
Saving
Action
Owned
Applian
ces

Easy to act
4

Amount of
Energy Saving

Temp
rature
Time
Spendi
ng at
home

High effect
2. Data
 Overview of questionnaire
 The questionnaire investigation conducted for 20’s to
60’s on the web
Period

Conducted in May. 2012

Area

Around Tokyo (Tokyo, Kanagawa, Chiba, Saitama)

Screening condition

1) No moved since Dec. 2010
2) No changed family structure since Dec. 2010
3) Sample having electric and gas meter receipts on Dec.
to Mar. 2010 and 2011

# of samples

5,892 ss

【Age - Sex
sample rate】

20s

30s

40s

50s

60s

Male

1,100

1,094

813

1,176

Female
5

274

248

296

302

238

351
2. Data
 Making data
To sum up the
amount of electricity
• To extract from meter
receipt of electricity
from Dec. to Mar. on
2010 and 2011

To calculate the
amount of energy
saving
• To calculate the amount of
energy saving on 2011 winter
compared to 2010 based on the
corrected amount of electricity
6

To correct for the
influence of the
date of metering

To correct for the
influence of
temperature
difference

The effect of each
actions for energy
saving
• To conduct multi regression
analysis with the amount of
energy saving as objective variable
and each action as explanatory
variables
2. Data
 To correct for the influence of the date of metering
 Corrected the amount of electricity because inputted
data by sample through questionnaire is based on
each date of metering
 For instance,
(The amount of ele. on Jan.)=
(date of metering)×(The amount of ele. on Jan. / 31)+
(31-date of metering)×(The amount of ele. on Dec. / 28)

Dec. of metering
Date

Jan. of metering
Date
Meter receipt on Jan.

Feb. of metering
Date
Meter receipt on Feb.

Real amount of electricity on Jan.
7
2. Data
 To correct for the influence of temperature difference

The amount of electricity
[kWh/month/house]

 To make single regression model using the amount of electricity per a
house on Dec., Jan. and Feb. from 1998 to 2010 in TEPCO area and
temperature in Tokyo.
 To definite this coefficient as a temperature corrected coefficient
(decrease electricity of 11.1kWh(Dec.), 11.5kWh(Jan.) and 9.0kWh(Feb.)
per 1 degree Celsius.)
 Decreased electricity to correct -2.5 degree C(Dec.), -0.5 degree C(Jan.)
and -1.7400.0
degree C(Feb.) on 2011 compared to 2010.
390.0
380.0

y = -11.11x + 438.1
R² = 0.641

370.0
360.0

y = -11.53x + 439.5
R² = 0.530

350.0

1月
Jan.

340.0
330.0
320.0

2月
Feb.

y = -8.980x + 387.7
R² = 0.455

310.0
300.0
4.0

8

12月
Dec.

5.0

6.0

7.0

8.0

9.0

10.0

Temperature [degree C]
3. Analysis process
 To know deeply the objective data and
find the correlation with various data

9

1.
Overview
ing the
objectiv
e data

2. Making
the
correlatio
n matrix

3. Picking
up
explanatory
variables

4.
Developing
the multi
regression
model

5.
Improving
the multi
regression
model
4-1. Overviewing the objective data
 Average energy saving
 Calculated the amount (82.9kWh down) and the ratio
(7.1% down) of energy saving by using the corrected
electricity by date of metering and temperature from
Dec. to Feb. on 2011
Dec.
Electricity

Jan.

Dec.

Dec. to Feb.

2010

368 kWh

444 kWh

364 kWh

1,175 kWh

2011

333 kWh

415 kWh

343 kWh

1,092 kWh

34.4

28.2

20.3

82.9

kWh

kWh

kWh

kWh

9.4

6.4

5.6

7.1

%

%

%

%

The amount of energy
saving [kWh]
The ratio of energy saving
[%]
10
4-1. Overviewing the objective data
 The overview of the amount of electricity saving
 The amount of electricity conservation is normal
distributed with the center of 82.9kWh on average
 70% of sample could accomplish energy saving
70%

11
4-2. Making the correlation matrix
 The definition of explanatory variables
 Heard the degree of 3 segments of energy saving actions based
on questionnaire survey
 Explanatory variables are defined by the difference of the degree
of all the actions between 2010 and 2011
Saving
Action

The degree of
electricity saving
actions based on 7point scale
Detail setting
temperature and
using hour of
heaters
12

Owned
Appliances

Dispose, purcha
se and
replacement of
each appliance

Hour at
Home

Hour with
nobody at home
each weekday
and holiday
4-2. Making the correlation matrix
 The overview of explanatory variables
 Calculated the increasing ratio of energy saving actions on 2011
compared to 2010
 Some results are shown here, totally all of energy saving actions
were increased than 2010

Close the door
when heaters are
working
13

Unplug the
appliances

Set refrigerator
low level

Boil water by
gas cooking
stove

Stop rice cooker
to keep warm
4-2. Making the correlation matrix
 The overview of explanatory variables
 Investigated the time of use and set of temperature for appliances,
especially heaters and lights, on 2011 compared to 2010
 Some results are shown here, totally all of appliances were not
used a lot

Lengthen
14

Shorten

Lengthen

Shorten
4-2. Making the correlation matrix
The amount of
electricity
saving
The amount of electricity
saving

Time of
Light in
Living
room

Time of
AC

Unplug the
appliances

Time of Light
in Bed room

…

1

0.21

0.15

0.15

0.13 …

Time of AC

0.21

1

0.17

0.11

0.12

Time of Light in Living
room

0.15

0.17

1

0.14

0.16 …

Unplug the appliances

0.15

0.11

0.14

1

0.07 …

Time of Light in Bed room

0.13

0.12

0.16

…

…

…

0.07
…

1 …
…

…

To find the explanatory variables which have the strong relationship with the
amount of electricity saving.

To categorize the similar explanatory variables not to include
multicollinearity.
15
4-3. Picking up explanatory variables
 Top variables which have strong relationship with
The amount of electricity saving
Time of AC
-0.208
Set
refrigerator
low level
-0.145

Close the door when Unplug the
heaters are working appliances
-0.149
Boil water by gas
cooking stove
-0.140

-0.153
Stop rice cooker
from keeping
warm
-0.146

Time of Light Time of Light in Bed
Time of TV
in Living room room
-0.153
-0.131
-0.125
16
4-4. Developing the multi regression
model
 Based on hypothesis and statistical approach, I
developed the multi regression model.
 Hypothesis is the most important because model
must be easy to explain and be accepted to audience.
 Then I tried to find the optimal explanatory variables
without decreasing p-value, AIC and R^2
Hypothesis

Statistics

A variable

E variable

B variable
C variable
D variable
17

Objective
variable

F variable
G variable
.
.
.
.
4-5. Improving the multi regression
model
 Step up explanatory variables

 Step up explanatory variables from the fundamental
factor influenced to electricity
 Made three models by adding variables in turn with
checking AIC and p-value
Electricity saving

Purchasing appliances

Model 1
Set temperature and Used hours
The degree of use for appliances
Used hours of TV and lights

Model 2
Electricity saving actions

Model 3
18

Hours at home
5. Result
 Result of model 1
 Model 1 is the simple model based on variables
showing the purchase of appliances
Coefficient

P-value

(Intercept)

-59.858

P<0001

Oil stove

-61.884

P<0.001

Electric stove

27.921

P<0.05

Gas fan heater

-97.654

P<0.001

LED

-42.272

P<0.001

Television

-25.383

P<0.001

Humidifier

29.148

P<0.01

-33.323

P<0.05

39.872

p<0.05

Refrigerator

-43.375

P<0.001

Dish washing machine

-94.446

P<0.01

Hot watering toilet seat
Washing and drying machine

AIC = 73,886
19
5. Result
 Result of model 2
 Model 2 has used hours and set temperature of appliances
Purchasing appliances

Coefficient

Pvalue

(Intercept)

-52.227

Oil stove

-36.630 P<0.001

Electric stove

25.229

P<0001
P<0.05

Used hours
AC

Electric carpet

Pvalue

-16.123 P<0.001

-7.581 P<0.001

Gas stove

9.405

P<0.1

4.429

P<0.1

Gas fan heater

-75.162 P<0.001

Gas fan heater

LED

-36.574 P<0.001

Oil stove

Television

-20.834 P<0.001

Oil fan heater

Humidifier

Coefficient

13.932 P<0.001
4.743

P<0.1

28.834

Hot watering toilet seat
Washing&drying machine

P<0.01

Electric stove

-12.388 P<0.001

-37.420

P<0.05

Halogen heater

-10.119

36.334

p<0.05

Electric fan heater

-17.945 p<0.001

P<0.01

Refrigerator

-45.922 P<0.001

Oil heater

-21.057 P<0.001

Dish washing machine

-81.189

Lights in living room

-15.646 P<0.001

Lights in bed room

-17.005 P<0.001

TV in living ronnm

-8.956 P<0.001

Water server
20

P<0.01

43.134= 73,377
P<0.05
AIC
5. Result
 Result of model 3
 Model 3 involves energy saving actions
Purchasing appliances

Coefficient

Pvalue

Used hours

Coefficient

Pvalue

(Intercept)

-42.499

P<0001

AC

Oil stove

-30.476

P<0.01

Electric carpet

-6.009 P<0.001

26.950

P<0.05

Gas stove

11.628

P<0.05

6.751

P<0.01

Electric stove

-13.662 P<0.001

Gas fan heater

-65.947 P<0.001

Gas fan heater

LED

-27.793 P<0.001

Oil stove

Television

-15.110

P<0.05

Oil fan heater

6.726

P<0.01

Humidifier

20.130

P<0.05

Electric stove

-10.542

P<0.01

-38.548

P<0.01

Halogen heater

-8.973

P<0.05

31.711

p<0.05

Electric fan heater

-15.898

p<0.01

Hot watering toilet seat
Washing&drying machine

13.870 P<0.001

Refrigerator

-49.654 P<0.001

Oil heater

-19.404 P<0.001

Dish washing machine

-92.589

P<0.01

Lights in living room

-11.019 P<0.001

49.583

P<0.05

Lights in bed room

-13.907 P<0.001

Water server
21

TV in living ronnm

-5.084

P<0.05
5. Result
 Result of model 3
 Model 3 involves energy saving actions
Energy saving actions
Set low temperature of electric floor heater

Coefficient

P-value

-132.945

P<0001

-13.962

P<0.01

-3.267

P<0.1

Close the door when heaters are working

-20.267

P<0.001

Unplug appliances

-12.435

P<0.05

Set refrigerator low level

-16.082

P<0.01

Boil water by gas cooking stove

-16.636

P<0.01

Stop rice cooker from keeping warm

-20.869

P<0.001

31.711

p<0.05

Used degree of Hot watering toilet seat

-49.654

P<0.001

Used degree of washing & drying machine

-92.589

P<0.01

49.583

P<0.05

Set low temperature of gas fan heater

Hours at home

Used degree of humidifier

Used degree of electric pot

AIC = 73,190
22
5. Result
 The improvement of models
 The improvement of R^2 is shown
 Still low but can extract the effective energy saving actions
which have high t-value
 It means that results show the disaggregated electricity
saving amount by effective and important actions
Model 3
Model 1

Adjusted R^2 = 0.0358
23

Model 2

Adjusted R^2 = 0.1185

Adjusted R^2 = 0.1493
5. Result
 The residual analysis
 The big difference between active
and passive energy savers is
whether they purchased new
appliances
 Positive energy saver
 Tends to purchase much new
appliances such as LED, TV
and oil stove
 Passive energy saver
 Tends to purchase much new
appliances such as fumidifier,
electric stove and water server

Passive

+3σ

-3σ

Positive
24
6. Conclusion
 The feature of effective energy saving actions
 Summarize the feature of effective energy saving actions
from the result of Model 3
• The effect of purchase of new appliances, especially electric
heater, LED, is highest
• Reducing used hours of appliances is more effective for saving
energy than setting low temperature
• Switching to gas and oil heaters contributes to saving energy
due to the avoidance of electric heaters including AC
• Reducing the use of electric heat generator such as
humidifier, Hot watering toilet seat, electric pot, drying
machine and rice cooker is definitely important to save energy
25

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Business statistics final

  • 1. 2012. 12. 10 Business Statistics - Disaggregation of energy saving action - 1
  • 3. 1. Objectives  Background  Highly interested in human behavior concerning energy saving since the disaster on 311, 2011 in Japan.  Data analysis on amount and actions for energy saving is important to understand this condition.  Problems  It is not still unclear how the relationship between amount of energy saving and energy saving actions was explained.  It is not still unclear how much energy saving is and which actions can contribute to energy saving. 3
  • 4. 1. Objectives  Objectives  To understand the energy saving actions  To disaggregate the amount of energy saving by each action through multi-regression model Energy Saving Action Owned Applian ces Easy to act 4 Amount of Energy Saving Temp rature Time Spendi ng at home High effect
  • 5. 2. Data  Overview of questionnaire  The questionnaire investigation conducted for 20’s to 60’s on the web Period Conducted in May. 2012 Area Around Tokyo (Tokyo, Kanagawa, Chiba, Saitama) Screening condition 1) No moved since Dec. 2010 2) No changed family structure since Dec. 2010 3) Sample having electric and gas meter receipts on Dec. to Mar. 2010 and 2011 # of samples 5,892 ss 【Age - Sex sample rate】 20s 30s 40s 50s 60s Male 1,100 1,094 813 1,176 Female 5 274 248 296 302 238 351
  • 6. 2. Data  Making data To sum up the amount of electricity • To extract from meter receipt of electricity from Dec. to Mar. on 2010 and 2011 To calculate the amount of energy saving • To calculate the amount of energy saving on 2011 winter compared to 2010 based on the corrected amount of electricity 6 To correct for the influence of the date of metering To correct for the influence of temperature difference The effect of each actions for energy saving • To conduct multi regression analysis with the amount of energy saving as objective variable and each action as explanatory variables
  • 7. 2. Data  To correct for the influence of the date of metering  Corrected the amount of electricity because inputted data by sample through questionnaire is based on each date of metering  For instance, (The amount of ele. on Jan.)= (date of metering)×(The amount of ele. on Jan. / 31)+ (31-date of metering)×(The amount of ele. on Dec. / 28) Dec. of metering Date Jan. of metering Date Meter receipt on Jan. Feb. of metering Date Meter receipt on Feb. Real amount of electricity on Jan. 7
  • 8. 2. Data  To correct for the influence of temperature difference The amount of electricity [kWh/month/house]  To make single regression model using the amount of electricity per a house on Dec., Jan. and Feb. from 1998 to 2010 in TEPCO area and temperature in Tokyo.  To definite this coefficient as a temperature corrected coefficient (decrease electricity of 11.1kWh(Dec.), 11.5kWh(Jan.) and 9.0kWh(Feb.) per 1 degree Celsius.)  Decreased electricity to correct -2.5 degree C(Dec.), -0.5 degree C(Jan.) and -1.7400.0 degree C(Feb.) on 2011 compared to 2010. 390.0 380.0 y = -11.11x + 438.1 R² = 0.641 370.0 360.0 y = -11.53x + 439.5 R² = 0.530 350.0 1月 Jan. 340.0 330.0 320.0 2月 Feb. y = -8.980x + 387.7 R² = 0.455 310.0 300.0 4.0 8 12月 Dec. 5.0 6.0 7.0 8.0 9.0 10.0 Temperature [degree C]
  • 9. 3. Analysis process  To know deeply the objective data and find the correlation with various data 9 1. Overview ing the objectiv e data 2. Making the correlatio n matrix 3. Picking up explanatory variables 4. Developing the multi regression model 5. Improving the multi regression model
  • 10. 4-1. Overviewing the objective data  Average energy saving  Calculated the amount (82.9kWh down) and the ratio (7.1% down) of energy saving by using the corrected electricity by date of metering and temperature from Dec. to Feb. on 2011 Dec. Electricity Jan. Dec. Dec. to Feb. 2010 368 kWh 444 kWh 364 kWh 1,175 kWh 2011 333 kWh 415 kWh 343 kWh 1,092 kWh 34.4 28.2 20.3 82.9 kWh kWh kWh kWh 9.4 6.4 5.6 7.1 % % % % The amount of energy saving [kWh] The ratio of energy saving [%] 10
  • 11. 4-1. Overviewing the objective data  The overview of the amount of electricity saving  The amount of electricity conservation is normal distributed with the center of 82.9kWh on average  70% of sample could accomplish energy saving 70% 11
  • 12. 4-2. Making the correlation matrix  The definition of explanatory variables  Heard the degree of 3 segments of energy saving actions based on questionnaire survey  Explanatory variables are defined by the difference of the degree of all the actions between 2010 and 2011 Saving Action The degree of electricity saving actions based on 7point scale Detail setting temperature and using hour of heaters 12 Owned Appliances Dispose, purcha se and replacement of each appliance Hour at Home Hour with nobody at home each weekday and holiday
  • 13. 4-2. Making the correlation matrix  The overview of explanatory variables  Calculated the increasing ratio of energy saving actions on 2011 compared to 2010  Some results are shown here, totally all of energy saving actions were increased than 2010 Close the door when heaters are working 13 Unplug the appliances Set refrigerator low level Boil water by gas cooking stove Stop rice cooker to keep warm
  • 14. 4-2. Making the correlation matrix  The overview of explanatory variables  Investigated the time of use and set of temperature for appliances, especially heaters and lights, on 2011 compared to 2010  Some results are shown here, totally all of appliances were not used a lot Lengthen 14 Shorten Lengthen Shorten
  • 15. 4-2. Making the correlation matrix The amount of electricity saving The amount of electricity saving Time of Light in Living room Time of AC Unplug the appliances Time of Light in Bed room … 1 0.21 0.15 0.15 0.13 … Time of AC 0.21 1 0.17 0.11 0.12 Time of Light in Living room 0.15 0.17 1 0.14 0.16 … Unplug the appliances 0.15 0.11 0.14 1 0.07 … Time of Light in Bed room 0.13 0.12 0.16 … … … 0.07 … 1 … … … To find the explanatory variables which have the strong relationship with the amount of electricity saving. To categorize the similar explanatory variables not to include multicollinearity. 15
  • 16. 4-3. Picking up explanatory variables  Top variables which have strong relationship with The amount of electricity saving Time of AC -0.208 Set refrigerator low level -0.145 Close the door when Unplug the heaters are working appliances -0.149 Boil water by gas cooking stove -0.140 -0.153 Stop rice cooker from keeping warm -0.146 Time of Light Time of Light in Bed Time of TV in Living room room -0.153 -0.131 -0.125 16
  • 17. 4-4. Developing the multi regression model  Based on hypothesis and statistical approach, I developed the multi regression model.  Hypothesis is the most important because model must be easy to explain and be accepted to audience.  Then I tried to find the optimal explanatory variables without decreasing p-value, AIC and R^2 Hypothesis Statistics A variable E variable B variable C variable D variable 17 Objective variable F variable G variable . . . .
  • 18. 4-5. Improving the multi regression model  Step up explanatory variables  Step up explanatory variables from the fundamental factor influenced to electricity  Made three models by adding variables in turn with checking AIC and p-value Electricity saving Purchasing appliances Model 1 Set temperature and Used hours The degree of use for appliances Used hours of TV and lights Model 2 Electricity saving actions Model 3 18 Hours at home
  • 19. 5. Result  Result of model 1  Model 1 is the simple model based on variables showing the purchase of appliances Coefficient P-value (Intercept) -59.858 P<0001 Oil stove -61.884 P<0.001 Electric stove 27.921 P<0.05 Gas fan heater -97.654 P<0.001 LED -42.272 P<0.001 Television -25.383 P<0.001 Humidifier 29.148 P<0.01 -33.323 P<0.05 39.872 p<0.05 Refrigerator -43.375 P<0.001 Dish washing machine -94.446 P<0.01 Hot watering toilet seat Washing and drying machine AIC = 73,886 19
  • 20. 5. Result  Result of model 2  Model 2 has used hours and set temperature of appliances Purchasing appliances Coefficient Pvalue (Intercept) -52.227 Oil stove -36.630 P<0.001 Electric stove 25.229 P<0001 P<0.05 Used hours AC Electric carpet Pvalue -16.123 P<0.001 -7.581 P<0.001 Gas stove 9.405 P<0.1 4.429 P<0.1 Gas fan heater -75.162 P<0.001 Gas fan heater LED -36.574 P<0.001 Oil stove Television -20.834 P<0.001 Oil fan heater Humidifier Coefficient 13.932 P<0.001 4.743 P<0.1 28.834 Hot watering toilet seat Washing&drying machine P<0.01 Electric stove -12.388 P<0.001 -37.420 P<0.05 Halogen heater -10.119 36.334 p<0.05 Electric fan heater -17.945 p<0.001 P<0.01 Refrigerator -45.922 P<0.001 Oil heater -21.057 P<0.001 Dish washing machine -81.189 Lights in living room -15.646 P<0.001 Lights in bed room -17.005 P<0.001 TV in living ronnm -8.956 P<0.001 Water server 20 P<0.01 43.134= 73,377 P<0.05 AIC
  • 21. 5. Result  Result of model 3  Model 3 involves energy saving actions Purchasing appliances Coefficient Pvalue Used hours Coefficient Pvalue (Intercept) -42.499 P<0001 AC Oil stove -30.476 P<0.01 Electric carpet -6.009 P<0.001 26.950 P<0.05 Gas stove 11.628 P<0.05 6.751 P<0.01 Electric stove -13.662 P<0.001 Gas fan heater -65.947 P<0.001 Gas fan heater LED -27.793 P<0.001 Oil stove Television -15.110 P<0.05 Oil fan heater 6.726 P<0.01 Humidifier 20.130 P<0.05 Electric stove -10.542 P<0.01 -38.548 P<0.01 Halogen heater -8.973 P<0.05 31.711 p<0.05 Electric fan heater -15.898 p<0.01 Hot watering toilet seat Washing&drying machine 13.870 P<0.001 Refrigerator -49.654 P<0.001 Oil heater -19.404 P<0.001 Dish washing machine -92.589 P<0.01 Lights in living room -11.019 P<0.001 49.583 P<0.05 Lights in bed room -13.907 P<0.001 Water server 21 TV in living ronnm -5.084 P<0.05
  • 22. 5. Result  Result of model 3  Model 3 involves energy saving actions Energy saving actions Set low temperature of electric floor heater Coefficient P-value -132.945 P<0001 -13.962 P<0.01 -3.267 P<0.1 Close the door when heaters are working -20.267 P<0.001 Unplug appliances -12.435 P<0.05 Set refrigerator low level -16.082 P<0.01 Boil water by gas cooking stove -16.636 P<0.01 Stop rice cooker from keeping warm -20.869 P<0.001 31.711 p<0.05 Used degree of Hot watering toilet seat -49.654 P<0.001 Used degree of washing & drying machine -92.589 P<0.01 49.583 P<0.05 Set low temperature of gas fan heater Hours at home Used degree of humidifier Used degree of electric pot AIC = 73,190 22
  • 23. 5. Result  The improvement of models  The improvement of R^2 is shown  Still low but can extract the effective energy saving actions which have high t-value  It means that results show the disaggregated electricity saving amount by effective and important actions Model 3 Model 1 Adjusted R^2 = 0.0358 23 Model 2 Adjusted R^2 = 0.1185 Adjusted R^2 = 0.1493
  • 24. 5. Result  The residual analysis  The big difference between active and passive energy savers is whether they purchased new appliances  Positive energy saver  Tends to purchase much new appliances such as LED, TV and oil stove  Passive energy saver  Tends to purchase much new appliances such as fumidifier, electric stove and water server Passive +3σ -3σ Positive 24
  • 25. 6. Conclusion  The feature of effective energy saving actions  Summarize the feature of effective energy saving actions from the result of Model 3 • The effect of purchase of new appliances, especially electric heater, LED, is highest • Reducing used hours of appliances is more effective for saving energy than setting low temperature • Switching to gas and oil heaters contributes to saving energy due to the avoidance of electric heaters including AC • Reducing the use of electric heat generator such as humidifier, Hot watering toilet seat, electric pot, drying machine and rice cooker is definitely important to save energy 25