Suppose we have one dimensional data with following conditions.
1. The value of this single feature lies in the closed interval [-a,a].
2. The associated target value with each data also lies in the closed interval [-a, a].
If we plot the feature value on x-axis and the associated target value on y-axis, then we will get a circle.
Assume that we fit a linear regression to the data, we can get infinite regression lines, passing through origin.
1. My question is can we derive the formula for error?
2. Will the error be same for every regression line passing through origin?