x = -4:0.1:10;
v1 = 0.1;
r1 = sqrt(v1).*randn(size(x));
Y1 = x + r1;
var(r1) % Should be approximately 0.1
v2 = 1;
r2 = sqrt(v2).*randn(size(x));
Y2 = x + r2;
var(r2) % Should be approximately 1.0
plot(x)
hold on
plot(Y1)
plot(Y2)
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