Concept explainers
Find the fractions that should be assigned to each value of x to minimize
Answer to Problem 37SE
The fractions of total number of observations that can be assigned at
Explanation of Solution
Calculation:
Consider that
Thus, it can be aid that if total number of observation is n that is large enough, then there are
Now, the Design matrix X can be written as,
Now,
Now, it is needed to minimize
The determination of matrix A is obtained as,
Now, the inverse of A is obtained as,
Now, the
Hence, the
Now, it is needed to partial differentiate
That is,
And
As
Similarly,
Thus,
Thus, the fractions of total number of observations that can be assigned at
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Chapter 12 Solutions
Mathematical Statistics with Applications
- 2. Let consider given points: (1,1), (3,2), (4,3), (5,6). (a) Find the best least square fit by a linear function (linear regression). Compute the sum of square errors. (b) Find a polynomial of degree 3 that interpolates the points. (c) Find the best least squares exponential fit y = piet. Compute the sum of square errors and compare with result from (a).arrow_forward8. Find the line of best fit y = a + bx for the data points (1,3), (2,4) and (-1,-1).arrow_forward
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