Question1:
Consider the following data:
Sxx = 34, Sxy = 687582
Syx = 20161429275, Y = 32447
R-output:
Find x̄
Find the regression model ŷ = b₀ + b₁x
Find the coefficient of determination R²
From R-output, find the value of A
From R-output, test H₀: No lack of fit vs H₁: there is a lack of fit.
Question2:
Consider the following data:
Σxi = 60, Σxi² = 404, ΣxiYi = 16588, Σxi√Yi = 944
Y = 121, 289, 9, 64, 400, 64, 529, 400, 289, 169
y = c(121, 289, 9, 64, 400, 64, 529, 400, 289, 169)
1. Find the equation, model (1): ŷ = b₀ + b₁x
2. Find the coefficient of determination R² for the model (1).
3. Find the equation, model (2): ŷ = b₀ + b₁x
4. Find the coefficient of determination R² for the model (2).
5. Use the best model to estimate Y when x = 5.