a) What is dependent and independent variables?  b) Fully write out the regression equation  c) Fill in the missing values ‘*’, ‘**’, ‘?’and ‘??’

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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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 to
2016:
FR=a+B0IL+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
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
s
MS
F
Regression
3
1991.31
663.77
??
Error
12
77.4
6.45
Total
15
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+B0IL+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 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 s MS F Regression 3 1991.31 663.77 ?? Error 12 77.4 6.45 Total 15
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