Question

In: Advanced Math

I want to estimate the interpolation error in [a,b] where f is interpolated by polynomials at...

I want to estimate the interpolation error in [a,b] where f is interpolated by polynomials at x_j, h=(b-a)/n, x_j=a+jh, j=0,1,...,n.

I want the answers in detail especially for n=2,3.

Solutions

Expert Solution

Colby Messinger answered 1 year ago
Next > < Previous

Related Solutions

Find the lagrange polynomials that approximate f(x) = x3 a ) Find the linear interpolation polynomial...
Find the lagrange polynomials that approximate f(x) = x3 a ) Find the linear interpolation polynomial P1(x) using the nodes x0= -1 and x1 = 0 b) Find the quadratic interpolation polynomial P2(x) using the nodes x0= -1 and x1 = 0 and x2 = 1 c) Find the cubic interpolation polynomial P3(x) using the nodes x0= -1 and x1 = 0 and x2 = 1 and x3=2 d) Find the linear interpolation polynomial P1(x) using the nodes x0= 1...
B – Compute the Standard Error of the estimate.
    Xi 3 12 6 20 14 Yi 55 40 55 10 15                 B – Compute the Standard Error of the estimate.           
find Lagrange polynomials that approximate f(x)=x^3, a) find the linear interpolation p1(x) using the nodes X0=-1...
find Lagrange polynomials that approximate f(x)=x^3, a) find the linear interpolation p1(x) using the nodes X0=-1 and X1=0 b) find the quadratic interpolation polynomial p2(x) using the nodes x0=-1,x1=0, x2=1 c) find the cubic interpolation polynomials p3(x) using the nodes x0=-1, x1=0 , x2=1 and x3=2. d) find the linear interpolation polynomial p1(x) using the nodes x0=1 and x1=2 e) find the quadratic interpolation polynomial p2(x) using the nodes x0=0 ,x1=1 and x2=2
Given that f "= - 12 (x-2) ^ 2 + 4, estimate the error obtained by...
Given that f "= - 12 (x-2) ^ 2 + 4, estimate the error obtained by approximating the integral of f (x) on the interval [1.5,2.5] with n = 4, using trapezoids. Find the domain of the vector function r(t)= <sent,lnt,1/(x-2). find the equation of the plane that passes through the point (-1,3, -8) and is parallel to the plane 3x-4y-6y = 9 find the equation of the line parallel to the plane 2x + y + z = 8...
How do I find the margin of error with a 98% confidence interval estimate of the...
How do I find the margin of error with a 98% confidence interval estimate of the population mean sales price and population mean number of days to sell for Domestic cars? For Domestic Cars Statistics List Price Sale Price Days to Sell N Valid 200 200 200 Missing 0 0 0 Mean 32.1615 29.7430 32.9050 Median 29.5500 27.5500 31.0000 Std. Deviation 18.31094 18.25088 17.86735 Range 75.00 74.60 69.00
If you estimate the beta OLS for stock i is 1.5, the standard error is 0.3....
If you estimate the beta OLS for stock i is 1.5, the standard error is 0.3. To test the two null hypothesis:β=3.5,β=-1，can you reject these two null hypotheses at 10% significance level with the tcritical = 2.96? A. β=3.5 cannot be rejected,β=-1 can be rejected B. β=3.5 can be rejected,β=-1 cannot be rejected C. β=3.5 can be rejected,β=-1 can be rejected D. β=3.5 cannot be rejected,β=-1 cannot be rejected
If you estimate the beta OLS for stock i is 1.5, the standard error is 0.3....
If you estimate the beta OLS for stock i is 1.5, the standard error is 0.3. To test the two null hypothesis:β=3.5,β=-1，can you reject these two null hypotheses at 10% significance level with the tcritical = 2.96? A. β=3.5 cannot be rejected,β=-1 can be rejected B. β=3.5 can be rejected,β=-1 cannot be rejected C. β=3.5 can be rejected,β=-1 can be rejected D. β=3.5 cannot be rejected,β=-1 cannot be rejected
USE R software Suppose that we want to test H0 : F = G, where F...
USE R software Suppose that we want to test H0 : F = G, where F is the distribution of weight for the casein feed group and G is the distribution of weight for the sunflower feed group of the chickwts data. A test can be based on the two-sample Kolmogorov-Smirnov statistic chickwts weight feed 1 179 horsebean 2 160 horsebean 3 136 horsebean 4 227 horsebean 5 217 horsebean 6 168 horsebean 7 108 horsebean 8 124 horsebean 9...
Show that as the number of bootstrap samples B gets large, the oob error estimate for...
Show that as the number of bootstrap samples B gets large, the oob error estimate for a random forest approaches its N-fold CV error estimate, and that in the limit, the identity is exact.
Suppose I want to estimate the effect of exercising on GPA. I collect a random sample...
Suppose I want to estimate the effect of exercising on GPA. I collect a random sample of data. For each individual, I collected the current GPA (variable GPA measured 0-4) and an average number of hours spent exercising during a week (variable excer in hours). a) Write down the population model.(2pts) b) Suppose the sample covariance between GPA and exercising is 100 and suppose that the variance of the variable excer is 200. Also, it was calculated that the average...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT