Question

Consider the measurement data given in the following table. k 1 2 3 xk 1 3...

Consider the measurement data given in the following table.

k 1 2 3
xk 1 3 5
yk 2 1.8 1
  1. Determine the least squares estimates α and β of the parameters of the regression line

y = α + βx

  1. Determine all residuals rk and check that they add up to 0.
  2. Determine the value of least squares error, the sum of all squared residuals rk.
  3. Draw in one figure the scatterplot of the data and the estimated regression line y = α + βx.
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