A researcher interested in explaining the level of foreign reserves for the country of Ba estimated the following multiple regression model using yearly data spanning the period 2001 to 2016: Where FR = yearly foreign reserves ($000's), OIL = annual oil prices, EXP = yearly total exports FR=a+BOIL+YEXP+&FDI ($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 F Source DF MS Regression 663.77 ?? 3 1991.31 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 Ba estimated the following multiple regression model using yearly data spanning the period 2001 to 2016: Where FR = yearly foreign reserves ($000's), OIL = annual oil prices, EXP = yearly total exports FR=a+BOIL+YEXP+&FDI ($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 F Source DF MS Regression 663.77 ?? 3 1991.31 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 '??’
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 4SGR
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Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
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Transcribed Image Text:estimated the following multiple regression model using yearly data spanning the period 2001 to
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
A researcher interested in explaining the level of foreign reserves for the country of Barbados
2016:
FR=a+B0IL+YEXP+8FDI
using MINITAB and the following is an extract of the output oblamed.
Predictor
Coef
StDev
p-value
t-ratio
5491.38 2508.81 2.1888
Constant
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
MS
F
DF
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 alternative hypothesis.
f) Given an interpretation of the term "R-sq" and comment on its value.
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