I can proof uptill $\beta_2 = \sum_{i=0}^n \frac{(Y_i-\text{mean of} \;y)(X_i-\text{mean of} \;x)}{X_i-\text{mean of} \;x}$
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Please, check that the edits in your post match with your question and try to improve the way you type for the next time. Also, I think you should give more context to your question and include your own work in order to get useful answers. – Edu Oct 13 '17 at 10:04
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Thankyou so much for helping me out in editing – taimoor ehsan Oct 13 '17 at 10:06
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Denominator is squared term – taimoor ehsan Oct 13 '17 at 10:07