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 t 2016: FR=a+BOIL+YEXP+8FDI Where FR = yearly foreign reserves ($000's), OIL = annual oil prices, EXP = yearly total expor ($000's) and FDI = annual foreign direct investment ($000's). The sample of data was processe using MINITAB and the following is an extract of the output obtained: Predictor Coef StDev t-ratio p-value Constant 5491.38 250o8.81 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-są = 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 ??"
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 t 2016: FR=a+BOIL+YEXP+8FDI Where FR = yearly foreign reserves ($000's), OIL = annual oil prices, EXP = yearly total expor ($000's) and FDI = annual foreign direct investment ($000's). The sample of data was processe using MINITAB and the following is an extract of the output obtained: Predictor Coef StDev t-ratio p-value Constant 5491.38 250o8.81 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-są = 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 ??"
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.EA: Extended Application Using Extrapolation To Predict Life Expectancy
Problem 2EA
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Please help with answers for a, b, c, d, e and f
![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 ($000's), OIL = annual oil prices, EXP= yearly total exports
(S000'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 B is significant. Give reasons for your answer.
e) Perform the F Test making sure to state the null and altemative 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%2F65d45473-5d0f-4c8f-9bde-048d2f5a4289%2F29c18632-1c29-4817-9566-f72a8e9fc34b%2Fujesfqq_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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 ($000's), OIL = annual oil prices, EXP= yearly total exports
(S000'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 B is significant. Give reasons for your answer.
e) Perform the F Test making sure to state the null and altemative hypothesis.
f) Given an interpretation of the term "R-sq" and comment on its value.
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