Suppose you measure t asure the following (x, y) values: (1, 1.5) (2, 1.8) (5, 4.3) (7, 6.5) + You do least squares linear interpolation, finding the best fit solution in the parameters for the equation y-ar+using the matrix equation 4()-y which you transform into ATA -Ay which has a unique solution. What is the determinant of the matrix AT A in this procedure? (it will be an integer, so no rounding is needed)

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