A rescarcher 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 ($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 t-ratio p-value StDev 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 S MS P Regression 3 1991.31 663.77 ? ?? Error 12 4.רר 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 alternative hypothesis. f) Given an interpretation of the term "R-sq" and comment on its value.

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Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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Question 4
A rescarcher 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 = ycarly 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
ss
MS
Regression
3
1991.31
663.77
??
Error
12
4 . רר
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 alternative hypothesis.
f) Given an interpretation of the term "R-sq" and comment on its value.
Transcribed Image Text:Question 4 A rescarcher 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 = ycarly 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 ss MS Regression 3 1991.31 663.77 ?? Error 12 4 . רר 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 alternative hypothesis. f) Given an interpretation of the term "R-sq" and comment on its value.
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