Problem 2: Curve Fitting: The data points (x;, Yi) were observed (-3,3), (-1, –1), (1,3) and (3, 15).3Thus, the x-values and y-values are: X =and y =The plot shows these data points and both the best-fit line31516and the best-fit parabola.14a. Record the design matrix D you would use to find the best-fit line.12108y = Bo + B1 xD =4Given for free: The product D"D is D"D =-3-2-113X-ахisb. Find the inverse of the product D"D-哈(D"D)-1 =and record it in the box.c. Solve the normal equation ( D"D)B = D"ỷ to find the vector B =with the best-fit parameters for the line.Hint: D"ÿParameter vector B.It can be shown that the best-fit line gives the estimatesYest =3Find the error vector: ý - yest ·Then give the root mean square error.RMSE =Error vector =Parabolic design matrix D:Let's start over and try a parabolic fit. Record the design matrix Dou would use to find the best-fit parabola y = Bo + B1 x + B2 x2D =Nice! The parabola fits perfectly, and you would find B= 2. Using this parabola, estimate y(2) =DDODDDODy-axisDD DDDDDDDDDDDDDD

Name: Problem 2: Curve Fitting: The data points (x;, Yi) were observed (-3,
Uploaded: 2024-03-20T06:46:42.000Z
Channel: Bartleby
Description: Problem 2: Curve Fitting: The data points (x;, Yi) were observed (-3,3), (-1, –1), (1,3) and (3, 15).3Thus, the x-values and y-values are: X =and y =The plot shows these data points and both the best-fit line31516and the best-fit parabola.14a. Recor