Hey,

Im having trouble with a question finding an estimate for as well as showing its unbiased and finding its variance. There is a set of data with the points

We want to fit a simple linear regression of the model:

Where:

The question asks me to find an estimate for by joining each set of points and writing the slope of each line formed. Thus, using the average of all the individual slopes to calculate

Where: is the slope between the points

My attempt:

The slope of any is:

Thus:

Which leads me to the estimate

Can someone tell me if I am on the right track, and how can I determine the bias of this estimator? Aren't the values just constant...? Thanks