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Prediction Intervals
12. Regression / Prediction Intervals / Problem 5
Problem 5

Given t = 2.228, s = 40, n = 8, x₀ = 10, x̄ = 8, Σx = 64, Σx² = 704, calculate the margin of error for the prediction interval at x₀ = 10. Use the formula:E = t * s * sqrt[1 + 1/n + (x₀ - x̄)² / (n*Σx² - (Σx)²)]