Given the data: xi 4.0 4.2 4.5 4.7 5.1 5.5 5.9 6.3 6.8 7.1 yi 102.56 113.18 130.
ID: 2961981 • Letter: G
Question
Given the data:
xi 4.0 4.2 4.5 4.7 5.1 5.5 5.9 6.3 6.8 7.1
yi 102.56 113.18 130.11 142.05 167.53 195.14 224.87 256.73 299.50 326.72
a. Construct the least squares polynomial of degree 1, and compute the error
b. Construct the least squares polynomial degree 2, and compute the error
c. Construct the least squares polynomial degree 3, and compute the error
d. Construct the least squares approximation of the form be^ax, and compute the error.
e. Construct the least squares approximation of the form bx^a, and compute the error.
Explanation / Answer
Given the data: xi 4.0 4.2 4.5 4.7 5.1 5.5 5.9 6.3 6.8 7.1 yi 102.56 113.18 130.