List of top Statistics Questions asked in GATE Humanities and Social Sciences- Economics

Suppose from the estimation of a linear regression model \(Y_i=\beta_0+\beta_1X_i+e_i\) the residual sum of squares and the total sum of squares are obtained as 44 and 80, respectively. The value of coefficient of determination is ____________ (round off to two decimal places).
Let $X$ be a random variable with pdf $f(x)=\dfrac{1}{2\sqrt{3}}$ for $-\sqrt{3}<x<\sqrt{3}$, and $0$ otherwise. Then, the variance of $X$ is _____(in integer)}.
The following table provides population information for different age groups in 2010 and 2017. The percentage change in old-age dependency ratio from 2010 to 2017 is ____________ (round off to two decimal places).
Age groupPopulation in 2010Population in 2017
0 to 14 years201630213609
15 to 64 years899210847552
65 years and above232450254474
Which of the following is/are used for testing the assumption of normality?