List of top Statistics Questions on Correlation and Regression

Which among the following is an example of +ve correlation?

If \( b_{xy} = - 0.3 \) and \( b_{yx} = - 0.6 \), then the value of correlation coefficient is ------------.

The consumption of fuel and the distance covered by a vehicle is an example of ------------ correlation.

Given that \(X=(X_1\ X_2\ X_3)' \sim N_3(\mu,\Sigma)\), where \(\mu=(0\ 0\ 0)'\) and \(\Sigma=\begin{pmatrix}1 & 1 & 0\\1 & 4 & 1\\0 & 1 & 4\end{pmatrix}\). The correlation coefficient between \(X_2\) and \(X_3\) is given by:

If the two regression lines are given by \(8X-10Y+66=0\) and \(40X-18Y=264\), then the correlation coefficient between X and Y is:

If, \(U = \frac{X-a}{h}\), \(V = \frac{Y-b}{k}\); \(a, b, h, k>0\), then \(b_{UV}\) is

The correlation coefficient between two variables X and Y is 0.60 and it is given that \(\sigma_X = 2, \sigma_Y = 4\). Then, the angle between two lines of regression, is