[Stata Program]
input id x y
1 1 3
2 1 5
3 1 6
4 1 9
5 2 4
6 2 6
7 2 7
8 2 10
9 3 4
10 3 6
11 3 8
12 3 10
13 4 5
14 4 7
15 4 9
16 4 12
17 5 7
18 5 10
19 5 12
20 5 6
end
summarize y x
correlate y x
regress y x
regress, beta
predict p
predict r, rstu
list y p r
plot y x
plot r id
plot r p
plot r x
graph r, bin(7) normal
stem r
pnorm r
[Stata Output]
summarize y x
Variable | Obs Mean Std. Dev. Min Max
---------+-----------------------------------------------------
y | 20 7.3 2.617753 3 12
x | 20 3 1.450953 1 5
correlate y x
(obs=20)
| y x
---------+------------------
y | 1.0000
x | 0.4157 1.0000
regress y x
Source | SS df MS Number of obs = 20
---------+------------------------------ F( 1, 18) = 3.76
Model | 22.50 1 22.50 Prob > F = 0.0683
Residual | 107.70 18 5.98333333 R-squared = 0.1728
---------+------------------------------ Adj R-squared = 0.1269
Total | 130.20 19 6.85263158 Root MSE = 2.4461
------------------------------------------------------------------------------
y | Coef. Std. Err. t P>|t| [95% Conf. Interval]
---------+--------------------------------------------------------------------
x | .75 .38676 1.939 0.068 -.0625527 1.562553
_cons | 5.05 1.282738 3.937 0.001 2.355068 7.744932
------------------------------------------------------------------------------
regress, beta
Source | SS df MS Number of obs = 20
---------+------------------------------ F( 1, 18) = 3.76
Model | 22.50 1 22.50 Prob > F = 0.0683
Residual | 107.70 18 5.98333333 R-squared = 0.1728
---------+------------------------------ Adj R-squared = 0.1269
Total | 130.20 19 6.85263158 Root MSE = 2.4461
------------------------------------------------------------------------------
y | Coef. Std. Err. t P>|t| Beta
---------+--------------------------------------------------------------------
x | .75 .38676 1.939 0.068 .4157055
_cons | 5.05 1.282738 3.937 0.001 .
------------------------------------------------------------------------------
predict p
(option xb assumed; fitted values)
predict r, rstu
list y p r
y p r
1. 4 7.3 -1.423003
2. 5 8.05 -1.323221
3. 6 8.8 -1.261847
4. 3 5.8 -1.261847
5. 4 6.55 -1.08954
6. 7 8.8 -.7897767
7. 6 7.3 -.5343365
8. 7 8.05 -.4361658
9. 5 5.8 -.3459558
10. 6 6.55 -.2275458
11. 6 5.8 .0862049
12. 7 6.55 .1860802
13. 8 7.3 .2860193
14. 9 8.05 .3942262
15. 10 8.8 .5212322
16. 10 7.3 1.142008
17. 9 5.8 1.463241
18. 12 8.8 1.463241
19. 10 6.55 1.518778
20. 12 8.05 1.776766
plot y x
12 +
| * *
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y | *
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3 + *
+----------------------------------------------------------------+
1 x 5
plot r id
1.77677 +
S | *
t |
u | * * *
d |
e | *
n |
t |
i |
z | *
e | * *
d | *
| *
r | *
e | *
s | * *
i |
d | *
u |
a | *
-1.423 + * * * *
+----------------------------------------------------------------+
1 id 20
plot r p
1.77677 +
S | *
t |
u | * * *
d |
e | *
n |
t |
i |
z | *
e | * *
d | *
| *
r | *
e | *
s | * *
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d | *
u |
a | *
-1.423 + * * * *
+----------------------------------------------------------------+
5.8 Fitted values 8.8
plot r x
1.77677 +
S | *
t |
u | * * *
d |
e | *
n |
t |
i |
z | *
e | * *
d | *
| *
r | *
e | *
s | * *
i |
d | *
u |
a | *
-1.423 + * * * *
+----------------------------------------------------------------+
1 x 5
graph r, bin(7) normal
stem r
Stem-and-leaf plot for r (Studentized residuals)
r rounded to nearest multiple of .01
plot in units of .01
-1** | 42,32,26,26,09
-0** | 79,53
-0** | 44,35,23
0** | 09,19,29,39
0** | 52
1** | 14,46,46
1** | 52,78
pnorm r