- 23/02/2013
- Posted by: essay
- Category: Free essays
In order to prepare descriptive statistics, it is necessary to categorize data. The columns Gender, Real Estate Purchases, Broadband Access, Have Children need to be converted to numeric format in order to apply descriptive statistics methods.
I have denoted Gender: male – 1, female – 0; Real Estate Purchases, Broadband Access and Have Children – in these columns “yes” was denoted as 1, and “no” was denoted as 0.
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| Descriptive statistics | |||
|
|
Age |
Gender |
Real Estate Purchases? |
| count |
410 |
410 |
410 |
| mean |
30,11 |
0,56 |
0,44 |
| sample variance |
16,19 |
0,25 |
0,25 |
| sample standard deviation |
4,02 |
0,50 |
0,50 |
| minimum |
19 |
0 |
0 |
| maximum |
42 |
1 |
1 |
| range |
23 |
1 |
1 |
|
|
|
|
|
|
Value of Investments ($) |
Number of Transactions |
Broadband Access? |
| count |
410 |
410 |
410 |
| mean |
28 538,29 |
5,97 |
0,62 |
| sample variance |
249 982 368,72 |
9,62 |
0,24 |
| sample standard deviation |
15 810,83 |
3,10 |
0,48 |
| minimum |
0 |
0 |
0 |
| maximum |
133400 |
21 |
1 |
| range |
133400 |
21 |
1 |
|
|
Household Income ($) |
Have Children? |
| count |
410 |
410 |
| mean |
74 459,51 |
0,53 |
| sample variance |
1 212 307 794,38 |
0,25 |
| sample standard deviation |
34 818,21 |
0,50 |
| minimum |
16200 |
0 |
| maximum |
322500 |
1 |
| range |
306300 |
1 |
| SUMMARY OUTPUT | ||||||||
|
Regression Statistics |
||||||||
| Multiple R |
0,127378515 |
|||||||
| R Square |
0,016225286 |
|||||||
| Adjusted R Square |
0,007888212 |
|||||||
| Standard Error |
0,049995591 |
|||||||
| Observations |
120 |
|||||||
| ANOVA | ||||||||
|
|
df |
SS |
MS |
F |
Significance F |
|||
| Regression |
1 |
0,004864544 |
0,004864544 |
1,946160776 |
0,165621429 |
|||
| Residual |
118 |
0,294947974 |
0,002499559 |
|||||
| Total |
119 |
0,299812518 |
||||||
|
|
Coefficients |
Standard Error |
t Stat |
P-value |
Lower 95% |
Upper 95% |
Lower 95.0% |
Upper 95.0% |
| Intercept |
0,011003126 |
0,0045889 |
2,39777003 |
0,018063423 |
0,001915865 |
0,020090387 |
0,001915865 |
0,020090387 |
| XMkt |
0,093193937 |
0,066803359 |
1,395048664 |
0,165621429 |
-0,039094758 |
0,225482631 |
-0,039094758 |
0,225482631 |
| Model is: | ||||||||
| Xconed = 0.011 + 0.09*XMkt | ||||||||
| SUMMARY OUTPUT | ||||||||
|
Regression Statistics |
||||||||
| Multiple R |
0,344264031 |
|||||||
| R Square |
0,118517723 |
|||||||
| Adjusted R Square |
0,110983687 |
|||||||
| Standard Error |
0,090304308 |
|||||||
| Observations |
119 |
|||||||
| ANOVA | ||||||||
|
|
df |
SS |
MS |
F |
Significance F |
|||
| Regression |
1 |
0,128284007 |
0,128284007 |
15,73097269 |
0,000126226 |
|||
| Residual |
117 |
0,954119564 |
0,008154868 |
|||||
| Total |
118 |
1,082403571 |
||||||
|
|
Coefficients |
Standard Error |
t Stat |
P-value |
Lower 95% |
Upper 95% |
Lower 95.0% |
Upper 95.0% |
| Intercept |
0,000719287 |
0,008316944 |
0,086484567 |
0,931229058 |
-0,015751984 |
0,017190558 |
-0,015751984 |
0,017190558 |
| Xmarket |
0,480301481 |
0,121097768 |
3,966229027 |
0,000126226 |
0,240473716 |
0,720129246 |
0,240473716 |
0,720129246 |
| Again, there is evidence that intercept is 0 | ||||||||
| So again re-estimate the model | ||||||||
| SUMMARY OUTPUT | ||||||||
|
Regression Statistics |
||||||||
| Multiple R |
0,344182178 |
|||||||
| R Square |
0,118461372 |
|||||||
| Adjusted R Square |
0,109986796 |
|||||||
| Standard Error |
0,089923723 |
|||||||
| Observations |
119 |
|||||||
| ANOVA | ||||||||
|
|
df |
SS |
MS |
F |
Significance F |
|||
| Regression |
1 |
0,128223012 |
0,128223012 |
15,85686825 |
0,000119044 |
|||
| Residual |
118 |
0,954180559 |
0,008086276 |
|||||
| Total |
119 |
1,082403571 |
||||||
|
|
Coefficients |
Standard Error |
t Stat |
P-value |
Lower 95% |
Upper 95% |
Lower 95.0% |
Upper 95.0% |
| Intercept |
0 |
#Н/Д |
#Н/Д |
#Н/Д |
#Н/Д |
#Н/Д |
#Н/Д |
#Н/Д |
| Xmarket |
0,481311439 |
0,120025396 |
4,010080004 |
0,000106811 |
0,243628737 |
0,718994142 |
0,243628737 |
0,718994142 |
| Model is: | ||||||||
| Xdelta = 0.48*Xmkt | ||||||||
| SUMMARY OUTPUT | ||||||||
|
Regression Statistics |
||||||||
| Multiple R |
0,562710966 |
|||||||
| R Square |
0,316643632 |
|||||||
| Adjusted R Square |
0,310802979 |
|||||||
| Standard Error |
0,067390005 |
|||||||
| Observations |
119 |
|||||||
| ANOVA | ||||||||
|
|
df |
SS |
MS |
F |
Significance F |
|||
| Regression |
1 |
0,246206976 |
0,246206976 |
54,21374066 |
2,72863E-11 |
|||
| Residual |
117 |
0,531345299 |
0,004541413 |
|||||
| Total |
118 |
0,777552276 |
||||||
|
|
Coefficients |
Standard Error |
t Stat |
P-value |
Lower 95% |
Upper 95% |
Lower 95.0% |
Upper 95.0% |
| Intercept |
0,000140484 |
0,006206558 |
0,022634805 |
0,981980138 |
-0,012151277 |
0,012432246 |
-0,012151277 |
0,012432246 |
| Excess Return Market |
0,665392413 |
0,090369766 |
7,362998075 |
2,72863E-11 |
0,486419841 |
0,844364986 |
0,486419841 |
0,844364986 |
| Note that Intercept is statistically equal to 0 for Citcorp .. Hence, CAPM holds and we re-estimate model without intercept | ||||||||
| SUMMARY OUTPUT | ||||||||
|
Regression Statistics |
||||||||
| Multiple R |
0,562708308 |
|||||||
| R Square |
0,316640639 |
|||||||
| Adjusted R Square |
0,308166063 |
|||||||
| Standard Error |
0,067103994 |
|||||||
| Observations |
119 |
|||||||
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