MathCastle
StatisticsChallengeTwo Variables

Two Variables · Challenge problem

The points (1,2)(1, 2), (2,2)(2, 2), (3,4)(3, 4), (4,4)(4, 4) have least-squares line y^=1+0.8x\hat y = 1 + 0.8x and r2=0.8r^2 = 0.8. A fifth point is added at x=9x = 9, exactly on this line. Find the new r2r^2 to the nearest thousandth.