Question

Suppose the line of best fit for some data points a slope of 4.404 if the mean of the x-coordinates of the data points 8.891 and the mean of the y coordinates in 5.519 what is the y-intercept of the line to three decimal places

Answer 1

We need to solve for the y-intercept of the line and the given values are enumerated below:
point slope = m = 4.404
mean of the x coordinate of the data point = 8.891
mean of the y coordinate of the data point = 5.519
We can use the equation of the line in a point-slope form such as:
y = mx + c
Let us solve first the value of c:
5.519 = (4.404* 8.891) +c
c = 5.519 - (39.156)
c = -33.637
the y-intercept is when x is equal to zero, we have:
y = 4.404(0) + (-33.637)
y= -33.637

The answer is -33.637 for y-intercept.

Answer 2

The answer is -33.637 hope this helps