Five observations lie exactly on the curve , with no measurement noise whatsoever — is a perfect deterministic function of :
Pearson's and the ordinary least-squares line are both computed from these five points.
Which statement about the results is correct?
Once you get it right, the reasoning behind the answer shows up here.
Select all that apply.
Hover over a point to inspect its centered deviations and cross-product!
The Pearson r numerator is the sum of (x − x̄)(y − ȳ). When both variables deviate in the same direction — both above their means, or both below — the product is positive, pushing r towards +1.