Linear Regression Equation Slope. Draw the line of best fit on the scatter plot. Answer hat y 2 23 1 99x exercise 12 4 4.
A r sy sx the calculation of a standard deviation involves taking the positive square root of a nonnegative number. As a result both standard deviations in the formula for the slope must be nonnegative. The slope of a line is the change in y over the change in x.
From algebra recall that the slope is a number that describes the steepness of a line and the y intercept is the y coordinate of the point 0 a where the line crosses the y axis.
For example in the equation y 2 x 6 the line. Answer hat y 2 23 1 99x exercise 12 4 4. We can see that the slope tangent of angle of the regression line is the weighted average of that is the slope tangent of angle of the line that connects the i th point to the average of all points weighted by because the further the point is the more important it is since small errors in its position will affect the slope connecting it to the center point less. As a result both standard deviations in the formula for the slope must be nonnegative.
