Question

Given the following data: a) rina the equation of the line that best fit the above data and check your answer by computing the norm of the residual vector. b) Find the quadratic polynomial that be

Answer 1

To find the equation of the line that best fits the given data, use the method of least squares.

Step-by-step explanation:

To find the equation of the line that best fits the given data, you can use the method of least squares. This method minimizes the sum of the squared residuals between the predicted values and the actual data points.

For a linear equation in the form y = mx + b, where m is the slope and b is the y-intercept, the equation that best fits the data can be found by calculating the values of m and b using the following formulas:

m = (n * Σ(x⋅y) - Σx⋅Σy) / (n * Σx^2 - (Σx)^2)

b = (Σy - m⋅Σx) / n

Once you have the equation of the line, you can compute the norm of the residual vector by finding the difference between the predicted values and the actual data points, squaring each difference, summing them up, and taking the square root of the sum.