d) Hence test whether ß is significant. Give reasons for your answer. e) Perform the F Test making sure to state the null and alternative hypothesis. f) Given an interpretation of the term “R-sq" and comment on its value.
d) Hence test whether ß is significant. Give reasons for your answer. e) Perform the F Test making sure to state the null and alternative hypothesis. f) Given an interpretation of the term “R-sq" and comment on its value.
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CAN YOU PLEASE ANSWER D, E AND F TO THIS QUESTION.
![Question 4
A researcher interested in explaining the level of foreign reserves for the country of Barbados
estimated the following multiple regression model using yearly data spanning the period 2001 to
2016:
FR=a+BOIL+YEXP+8FDI
Where FR = yearly foreign reserves ($o000's), OIL = annual oil prices, EXP = yearly total exports
($000's) and FDI = annual foreign direct investment ($000°s). The sample of data was processed
using MINITAB and the following is an extract of the output obtained:
Predictor
Coef
StDev
t-ratio
p-value
Constant
5491.38
2508.81
2.1888
0.0491
OIL
85.39
18.46
4.626
0.0006
EXP
-377.08
112.19
0.0057
FDI
-396.99
160.66
-2.471
s = 2.45
R-sq
= 96.3%
R-sq (adj)
= 95.3%
Analysis of Variance
Source
DF
MS
F
Regression
3
1991.31
663.77
?
??
Error
12
77.4
6.45
Total
15
a) What is dependent and independent variables?
b) Fully write out the regression equation
c) Fill in the missing values ***, ****, ?'and “??"
d) Hence test whether ß is significant. Give reasons for your answer.
e) Perform the F Test making sure to state the null and alternative hypothesis.
f) Given an interpretation of the term “R-sq" and comment on its value.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe63b9495-8457-4db6-b3fb-fb5ac3a4059c%2F057adb97-4274-459b-9c3e-82b692eb8867%2F2pb67p6_processed.png&w=3840&q=75)
Transcribed Image Text:Question 4
A researcher interested in explaining the level of foreign reserves for the country of Barbados
estimated the following multiple regression model using yearly data spanning the period 2001 to
2016:
FR=a+BOIL+YEXP+8FDI
Where FR = yearly foreign reserves ($o000's), OIL = annual oil prices, EXP = yearly total exports
($000's) and FDI = annual foreign direct investment ($000°s). The sample of data was processed
using MINITAB and the following is an extract of the output obtained:
Predictor
Coef
StDev
t-ratio
p-value
Constant
5491.38
2508.81
2.1888
0.0491
OIL
85.39
18.46
4.626
0.0006
EXP
-377.08
112.19
0.0057
FDI
-396.99
160.66
-2.471
s = 2.45
R-sq
= 96.3%
R-sq (adj)
= 95.3%
Analysis of Variance
Source
DF
MS
F
Regression
3
1991.31
663.77
?
??
Error
12
77.4
6.45
Total
15
a) What is dependent and independent variables?
b) Fully write out the regression equation
c) Fill in the missing values ***, ****, ?'and “??"
d) Hence test whether ß is significant. Give reasons for your answer.
e) Perform the F Test making sure to state the null and alternative hypothesis.
f) Given an interpretation of the term “R-sq" and comment on its value.
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