Recent content by chrisoutwrigh

  1. C

    OLS Estimator, derivation sigmahat(beta0hat)

    Good day, in the lectures of emperical economic research of my uni, we got to the topic of Linear Regression with one regressor. There I encountered upon: {\hat{\sigma }_{\hat{\beta }_{0 }}}^{2 }=\frac{1 }{n }\cdot \frac{\text{var }{\left( {\left[ 1 -{\left( \frac{\mu _{x }}{E {\left( {X _{i...
  2. C

    Same Areas of Trapezoid within Triangle, why?

    Sadly I had no time to properly end this seedless quest. To answer your question: The intercepts of the linear equations (diagonals) are needed and then one can split up the triangles (upwards from the diagonal / beneath the diagonal) in two triangles with right angles. The reason for this...
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    Same Areas of Trapezoid within Triangle, why?

    I have now replaced the wrong x-coordinate value for the point C but my formula still was phrased correctly, I just made a transfer typo..some other ideas why this seems wrong? Does it suffice when the base and height is the same? the angle isn't so it shouldn't be so obvious? Or do I...
  4. C

    Same Areas of Trapezoid within Triangle, why?

    Hi! You are right! I' might have used a different letter for it. Actually it should be root[(e*m)^2-h^2] .. i will calculate it accordingly!
  5. C

    Same Areas of Trapezoid within Triangle, why?

    Good day, while reading up on an elementary math study book, i have encountered that a proof is build upon the following (see attachment for the figure). Are the Areas CDE and BED really the same? I tried to calculate this from abstraction, not sure where I could have made a mistake.. g1 is the...
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