# Finding Expected Value of Slope and Variance of Residuals

1. Given the following Equation show that for the estimator b1, E[b1] = B1

yi=B1*Xi1+(epsilon)i

b1 = (sum(yi*xi1))/(sum((xi1)^2))

2. ei = yi-yhat = yi-bi*xi1 equal the residual

find var(ei)

© BrainMass Inc. brainmass.com December 15, 2020, 11:12 pm ad1c9bdddfhttps://brainmass.com/statistics/ordinary-least-squares/finding-expected-value-slope-variance-residuals-588144

#### Solution Summary

The solution gives detailed steps on finding two statistic on regression: one is the expected value of slope and the other is the variance of residuals. Attached in Word.

$2.19