Statistics Quiz (I)   11) For random error $$varepsilon_i,$$ which of the following constitutes the Gauss-Markov conditions? A) (i) $$E(varepsilon_i)=0$$ (ii) $$E(varepsilon_i ^2)=sigma^2$$ (iii) $$E(varepsilon_i,varepsilon_j)=0, ineq j$$ B) (i) $$E(varepsilon_i)=0$$ (ii) $$E(varepsilon_i ^2)=sigma_i ^2$$ (iii) $$E(varepsilon_i,varepsilon_j)=0, ineq j$$ C) (i) $$E(varepsilon_i)=0$$ (ii) $$E(varepsilon_i ^2)=sigma^2$$ (iii) $$E(varepsilon_i,varepsilon_j)=0, ineq j$$ (iv) $$varepsilon_isim...

We are very pleased to announce that we have been able to find the Assam State Higher Secondary Education Council (AHSEC) 2014 question papers for a few subjects, thanks to our team member, Bishal Deb. Here are some of those available for download: Physics (Theory) Computer Science and...

1) For a forward difference table the points $$(x_0,y_0),(x_1,y_1),(x_2,y_2),dots$$ with $$h=x_1-x_0=x_2-x_1=dots$$ so on, and for the function $$y=x^n,$$ say, which of the following statements is true? A) $$frac{Delta^2y_0}{h^2}=12$$ B) $$frac{dy}{dx}=3x^2$$ C) $$frac{d^2y}{dx^2}=6x|_2=12$$ D) $$frac{Delta^2y_0}{h^2}=frac{d^2y}{dx^2}|_{x=x_1}$$   2) “If $$f(x)$$ is continuous in $$(a,b),$$ then for any $$x$$ in that interval, we shall...