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StatisticsChallengeTwo Variables

Two Variables · Challenge problem

Five points (1,4)(1, 4), (2,10)(2, 10), (3,11)(3, 11), (4,12)(4, 12), (5,18)(5, 18) have least-squares line y^=2+3x\hat y = 2 + 3x and r2=0.9r^2 = 0.9. A sixth point is added at (3,11)(3, 11), which is exactly the point of means. What is the new r2r^2?