You are an econometrician working in the Ministry of Finance in Trinidad and Tobago and using a database consisting of 108 monthly observations on automobile accidents for Trinidad and Tobago between January 2011 and December 2019, you estimate the following model: log( totacc,) = Bo+ Bit+ B2feb, + Bzmar,. + B12dec, + µ. where totacc is the total number of accidents, t is time (measured in months), and feb, mar,, dec, are dummy variables indicating whether time period t corresponds to the appropriate month. You obtain the following OLS results: Source I df MS Number of obs 108 F( 12, 95) Model I Residual | 1.00244071 .255496765 12 95 .083536726 .00268944 31.06 0.0000 0.7969 Prob > F R-squared Adj R-squared - 0.7712 .05186 Total I 1.25793748 107 .011756425 Root MSE ltotacc I Coef. Std. Err. t P>|t| [95 Conf. Interval] .0027471 .0001611 17.06 0.000 .0024274 .0030669 -.0426865 .0798245 .0184849 .0320981 .0201918 .0375826 .0244475 .0244491 .0244517 .0244554 .0244602 .024466 .0244729 .0244809 .0244899 -1.75 3.26 feb | 0.084 0.002 -.0912208 .0058479 .031287 -.030058 .1283621 .0670277 mar | 0.76 0.452 0.193 apr | may I jun I jul I aug I sep I oct I -.0164521 -.0283678 -.0109886 .0053981 1.31 0.83 .0806483 .0687515 .0861538 .1025679 .0909617 0.411 1.54 0.128 .053983 .042361 2.21 1.73 3.35 0.030 -.0062397 .0334949 .02264 0.087 0.001 .0821135 .0712785 .130732 .0244999 nov | dec I .1199171 .1448178 2.91 0.005 .0961572 10.46857 .0245111 .0190028 3.92 550.89 0.000 0.000 .0474966 10.43084 cons I 10.50629 The team meeting will be held in 3 days from the date of the assignment and because of the limitation of time the Chief econor iet has given vou the following quidelines:
You are an econometrician working in the Ministry of Finance in Trinidad and Tobago and using a database consisting of 108 monthly observations on automobile accidents for Trinidad and Tobago between January 2011 and December 2019, you estimate the following model: log( totacc,) = Bo+ Bit+ B2feb, + Bzmar,. + B12dec, + µ. where totacc is the total number of accidents, t is time (measured in months), and feb, mar,, dec, are dummy variables indicating whether time period t corresponds to the appropriate month. You obtain the following OLS results: Source I df MS Number of obs 108 F( 12, 95) Model I Residual | 1.00244071 .255496765 12 95 .083536726 .00268944 31.06 0.0000 0.7969 Prob > F R-squared Adj R-squared - 0.7712 .05186 Total I 1.25793748 107 .011756425 Root MSE ltotacc I Coef. Std. Err. t P>|t| [95 Conf. Interval] .0027471 .0001611 17.06 0.000 .0024274 .0030669 -.0426865 .0798245 .0184849 .0320981 .0201918 .0375826 .0244475 .0244491 .0244517 .0244554 .0244602 .024466 .0244729 .0244809 .0244899 -1.75 3.26 feb | 0.084 0.002 -.0912208 .0058479 .031287 -.030058 .1283621 .0670277 mar | 0.76 0.452 0.193 apr | may I jun I jul I aug I sep I oct I -.0164521 -.0283678 -.0109886 .0053981 1.31 0.83 .0806483 .0687515 .0861538 .1025679 .0909617 0.411 1.54 0.128 .053983 .042361 2.21 1.73 3.35 0.030 -.0062397 .0334949 .02264 0.087 0.001 .0821135 .0712785 .130732 .0244999 nov | dec I .1199171 .1448178 2.91 0.005 .0961572 10.46857 .0245111 .0190028 3.92 550.89 0.000 0.000 .0474966 10.43084 cons I 10.50629 The team meeting will be held in 3 days from the date of the assignment and because of the limitation of time the Chief econor iet has given vou the following quidelines:
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
ASSIST WITH PART C
![You are an econometrician working in the Ministry of Finance in Trinidad and Tobago and using
a database consisting of 108 monthly observations on automobile accidents for Trinidad and
Tobago between January 2011 and December 2019, you estimate the following model:
log( totacc,) = Bo + Bit+ B2feb, + Bzmar,+ B12dec, + µ.
where totacc is the total number of accidents, t is time (measured in months), and feb, mar, dec,
are dummy variables indicating whether time period t corresponds to the appropriate month.
You obtain the following OLS results:
Source I
df
MS
Number of obs =
108
F( 12,
95)
31.06
.083536726
.00268944
Model I
1.00244071
12
Prob > F
0.0000
Residual
.255496765
95
R-squared
Adj R-squared
0.7969
0.7712
Total |
1.25793748
107
.011756425
Root MSE
.05186
ltotacc I
Coef.
Std. Err.
P>|t|
[95% Conf. Interval]
.0027471
.0001611
17.06
0.000
.0024274
.0030669
.0058479
.1283621
feb I
.0244475
.0244491
-1.75
3.26
0.084
0.002
-.0426865
-.0912208
.031287
-.030058
-.0164521
-.0283678
mar
.0798245
apr I
.0184849
.0244517
0.76
0.452
.0670277
.0320981
.0201918
.0244554
.0806483
.0687515
1.31
0.193
may
jun I
jul
.0244602
0.83
0.411
0.128
0.030
-.0109886
.0053981
-.0062397
.0334949
.02264
.0375826
.024466
1.54
.0861538
.053983
.0244729
2.21
.1025679
aug I
sep I
oct |
nov |
.042361
.0821135
.0244809
.0244899
0.087
0.001
.0909617
.130732
1.73
3.35
.0712785
.0244999
2.91
0.005
.1199171
dec I
cons I
.0245111
.0190028
.0961572
3.92
0.000
.0474966
.1448178
10.46857
550.89
0.000
10.43084
10.50629
The team meeting will be held in 3 days from the date of the assignment and because of the
limitation of time the Chief economist has given vou the following guidelines:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4ad7f403-3734-417f-a950-2374ed67ff45%2F939af993-ce5f-416f-b837-3e0a4af9a17f%2Fjbzixag_processed.png&w=3840&q=75)
Transcribed Image Text:You are an econometrician working in the Ministry of Finance in Trinidad and Tobago and using
a database consisting of 108 monthly observations on automobile accidents for Trinidad and
Tobago between January 2011 and December 2019, you estimate the following model:
log( totacc,) = Bo + Bit+ B2feb, + Bzmar,+ B12dec, + µ.
where totacc is the total number of accidents, t is time (measured in months), and feb, mar, dec,
are dummy variables indicating whether time period t corresponds to the appropriate month.
You obtain the following OLS results:
Source I
df
MS
Number of obs =
108
F( 12,
95)
31.06
.083536726
.00268944
Model I
1.00244071
12
Prob > F
0.0000
Residual
.255496765
95
R-squared
Adj R-squared
0.7969
0.7712
Total |
1.25793748
107
.011756425
Root MSE
.05186
ltotacc I
Coef.
Std. Err.
P>|t|
[95% Conf. Interval]
.0027471
.0001611
17.06
0.000
.0024274
.0030669
.0058479
.1283621
feb I
.0244475
.0244491
-1.75
3.26
0.084
0.002
-.0426865
-.0912208
.031287
-.030058
-.0164521
-.0283678
mar
.0798245
apr I
.0184849
.0244517
0.76
0.452
.0670277
.0320981
.0201918
.0244554
.0806483
.0687515
1.31
0.193
may
jun I
jul
.0244602
0.83
0.411
0.128
0.030
-.0109886
.0053981
-.0062397
.0334949
.02264
.0375826
.024466
1.54
.0861538
.053983
.0244729
2.21
.1025679
aug I
sep I
oct |
nov |
.042361
.0821135
.0244809
.0244899
0.087
0.001
.0909617
.130732
1.73
3.35
.0712785
.0244999
2.91
0.005
.1199171
dec I
cons I
.0245111
.0190028
.0961572
3.92
0.000
.0474966
.1448178
10.46857
550.89
0.000
10.43084
10.50629
The team meeting will be held in 3 days from the date of the assignment and because of the
limitation of time the Chief economist has given vou the following guidelines:
![(c) Consider the following change in the time series model: Ye = P1Yt-1 + U;
where ut follows a white noise process. What is the condition we need to impose on øl in order for
the series yt to be weakly stationary? Why?
P.T.O
(d) Consider the following change in the time series model: y: = Bo + B1×1-1 + B2x1-2 + Uz
where y, is some outcome variable of interest, and x,-1 and Xx-2 are strictly exogenous explanatory
variables. How would you test for the presence of serial correlation in the residual u;?
(e) Briefly explain how you would carry out econometric analysis of the model in (d) if u̟ is found
to be stationary, but positively serially correlated.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4ad7f403-3734-417f-a950-2374ed67ff45%2F939af993-ce5f-416f-b837-3e0a4af9a17f%2F51oe6j6_processed.png&w=3840&q=75)
Transcribed Image Text:(c) Consider the following change in the time series model: Ye = P1Yt-1 + U;
where ut follows a white noise process. What is the condition we need to impose on øl in order for
the series yt to be weakly stationary? Why?
P.T.O
(d) Consider the following change in the time series model: y: = Bo + B1×1-1 + B2x1-2 + Uz
where y, is some outcome variable of interest, and x,-1 and Xx-2 are strictly exogenous explanatory
variables. How would you test for the presence of serial correlation in the residual u;?
(e) Briefly explain how you would carry out econometric analysis of the model in (d) if u̟ is found
to be stationary, but positively serially correlated.
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