Solve the following least-squares problem: 1 1 (C)-(0) 1 Show how you arrived at the normal...

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Solve the following least-squares problem: 1 1 (C)-(0) 1 Show how you arrived at the normal equation. Once there, you can just report the solution of the linear system. The following data represents the temperature T (in C) in Seattle t hours after sunrise: t T 0 0 0 2 2 What is the equation of the line that fits these data points and minimizes the least-squares error? Show how your arrived at the normal equation. Once there, you can just report the solution of the linear system. Suppose we sample y = sin(x) at x = 0, x = /4, and x = 7/2. We obtain the following data: X 0 0 a. Fit the data points above to the curve /4 1/2 /2 y = a + b cos(2x). Determine a and b that minimize the least-squares error. Show how you arrived at the normal equation. Once there, you can just report the solution of the linear system. b. The values of a and b you found in (a) should not surprise you. Give a one sentence explanation for why you should not be surprised. Solve the following least-squares problem: 1 1 (C)-(0) 1 Show how you arrived at the normal equation. Once there, you can just report the solution of the linear system. The following data represents the temperature T (in C) in Seattle t hours after sunrise: t T 0 0 0 2 2 What is the equation of the line that fits these data points and minimizes the least-squares error? Show how your arrived at the normal equation. Once there, you can just report the solution of the linear system. Suppose we sample y = sin(x) at x = 0, x = /4, and x = 7/2. We obtain the following data: X 0 0 a. Fit the data points above to the curve /4 1/2 /2 y = a + b cos(2x). Determine a and b that minimize the least-squares error. Show how you arrived at the normal equation. Once there, you can just report the solution of the linear system. b. The values of a and b you found in (a) should not surprise you. Give a one sentence explanation for why you should not be surprised.