Really need help with this question! Looking for a detailed explanation that is easy to understand. Thanks! I will give a great review quickly for the correct answer. :)

. Provide a proof for of the following questions: (a) Show that the OLS assumption IE(u|X) = 0 implies that: EWI-'J'JQ = 260 + 25133; (b) Show that the regression R2 in the regression of Y on X is the squared value of the sample correlation between X and X. That is, show that: 2 _ A2 R pa:,y'.| where x,\" = 3%, SM is the sample covariance between X and Y and em, 39 are the sample standard deviations of X and Y respectively. (0) Show that the sample covariance between X and the residuals g is zero. That is: A COU(.'B,'&) = 83311} = 0 (d) Show that A A s 51 = payi: where {rim is the sample correlation between X and Y and 3m, 39 are the sample standard deviations of X and Y respectively