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.
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
Please answer parts 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%2F0fd2dda8-3c88-4922-bb26-5b0361816ddc%2Fb1a9c310-d71b-4978-8faa-b2ca857ea20a%2Fo4ziqcc_processed.jpeg&w=3840&q=75)
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