MediumStatisticsst-358

Standard Error of Fitted Mean

Problem

The standard error of the estimated mean response at x is s * sqrt(1/n + (x - xbar)^2 / Sxx).

Given the residual standard deviation s, the sample size, the value x, xbar, and Sxx, return the standard error.

Hint

The uncertainty grows as the query point moves from the center.

case 1

in: [1,10,5,5,10]

expected: 0.31622776601683794

case 2

in: [2,20,8,5,16]

expected: 1.5652475842498528

case 3

in: [0.5,5,1,1,4]

expected: 0.22360679774997896

Starter codePython

def standard_error_of_fitted_mean(s, n, x, xbar, sxx):
    # Your code here
    pass

3 test cases · run your code against them in the editor