Cauchy distribution pdf expectation cdf A Cauchy random vari

[Cauchy distribution, p.d.f., expectation, c.d.f.] A Cauchy random variable, X, has the following p.d.f. f(x)= b/pie/b^2+(x-a)^2. in which b is any positive real number, and a is any finite real number. Show that a Cauchy random variable lias 110 average value. Show that the c.d.f. for a Cauchy random variable is Fx(x)=1/2+1/pietan^-1(x-a/b)

Solution

A. The fanned pattern indicates that the linear model is not appropriate. The model\'s predicting power decreases as the values of the explanatory variable increases.

the plot is scattered as the x value increases