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Econometrics Question Suppose you are given the following simple dataset, regress Y on X: y= 0 + 1 x+u X Y 1 2 2 5

Econometrics Question

Suppose you are given the following simple dataset, regress Y on X: y=0+1x+u

X

Y

1

2

2

5

4

8

Do the following calculation without STATA or other statistical software

  1. Calculate and. Show algebraic steps.
  2. Interpret and
  3. Calculate the predicted(fitted) value of each observation
  4. Calculate the residual of each observation
  5. When x=3, what is the predicted value of Y?
  6. Calculate TSS, ESS and RSS.
  7. Calculate R-squared. How much of the variation in Y is explained by X?
  8. Estimate the variance of the disturbance u

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