Difficult# Finding the Equation of an LSRL Using Means and SD

APSTAT-RJW0YL

Consider a set of $n$ ordered pairs given by:

$$({ x }_{ 1 },y_{ 1 }), ({ x }_{ 2 },y_{ 2 }), ({ x }_{ 3 },y_{ 3 }),...,({ x }_{ n },y_{ n })$$

The mean and standard deviation of the $x$-values are $\bar { x } =10$ and ${ s }_{ x }=12$.

The mean and standard deviation of the $y$-values $\bar { y } =15$ and ${ s }_{ y }=6$.

Which of the following could represent the least squares regression line?