SAMPLE REGRESSION COEFFICIENT OF X ON Y IS COUNTING BY THE FORMULA Select one: (overline (xy)-overline (x)cdot overline (y))/(sigma _(y)^2) (overline (xy)-overline (x)cdot overline (y))/(sigma _(x)^2) (bar (x)^2cdot bar (y)-bar (x)cdot bar (x))/(sigma _(x)^2) (bar (y^2)cdot bar (x)-bar (y)cdot bar (y))/(sigma _(y)^2) (overline (xy)-overline (x)cdot overline (y))/(sigma _(y)sigma _(x))

The correct answer is:<br />$\frac {\overline {xy}-\overline {x}\cdot \overline {y}}{\sigma _{y}\sigma _{x}}$<br /><br />Explanation:<br />The sample regression coefficient of X on Y, also known as the slope of the regression line, is calculated using the formula:<br />$\frac {\overline {xy}-\overline {x}\cdot \overline {y}}{\sigma _{y}\sigma _{x}}$<br /><br />Where:<br />- $\overline {xy}$ is the mean of the product of X and Y<br />- $\overline {x}$ is the mean of X<br />- $\overline {y}$ is the mean of Y<br />- $\sigma _{y}$ is the standard deviation of Y<br />- $\sigma _{x}$ is the standard deviation of X<br /><br />This formula represents the ratio of the covariance of X and Y to the product of their standard deviations, which gives the slope of the regression line.<br /><br />The other options provided are incorrect formulas for calculating the sample regression coefficient of X on Y.