Let (x_{1}=17, x_{2}=1, x_{3}=0 ; y_{1}=5, y_{2}=2, y_{3}=8). Calculate the following: a. (sum_{i=1}^{2} x_{i}) b. (sum_{t=1}^{3} x_{t}
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Let \(x_{1}=17, x_{2}=1, x_{3}=0 ; y_{1}=5, y_{2}=2, y_{3}=8\). Calculate the following:
a. \(\sum_{i=1}^{2} x_{i}\)
b. \(\sum_{t=1}^{3} x_{t} y_{t}\)
c. \(\bar{x}=\left(\sum_{i=1}^{3} x_{i}\right) / 3\) [Note: \(\bar{x}\) is called the arithmetic average or arithmetic mean.]
d. \(\sum_{i=1}^{3}\left(x_{i}-\bar{x}\right)\)
e. \(\sum_{i=1}^{3}\left(x_{i}-\bar{x}\right)^{2}\)
f. \(\left(\sum_{i=1}^{3} x_{i}^{2}\right)-3 \bar{x}^{2}\)
g. \(\sum_{i=1}^{3}\left(x_{i}-\bar{x}\right)\left(y_{i}-\bar{y}\right)\) where \(\bar{y}=\left(\sum_{i=1}^{3} y_{i}\right) / 3\)
h. \(\left(\sum_{j=1}^{3} x_{j} y_{j}\right)-3 \bar{x} \bar{y}\)
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Related Book For
Principles Of Econometrics
ISBN: 9781118452271
5th Edition
Authors: R Carter Hill, William E Griffiths, Guay C Lim
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