Question

Given slope m = 2 and one of the coordinate points on a regression line, (5,4), find the y-

intercept of the prediction equation.

Answer 1

By substituting the given slope (m=2) and the coordinate point (5,4) into the slope-intercept form equation y = mx + b, we calculate the y-intercept (b) to be -6.

Step-by-step explanation:

To find the y-intercept of the prediction equation, we can use the given slope (m=2) and the coordinate point (5,4). The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. To find b, we can substitute the given values into the equation:

4 = (2)(5) + b

4 = 10 + b

b = 4 - 10

b = -6

Therefore, the y-intercept of the prediction equation is -6.