Write an equation of the trend​ line, rounding to two decimal places as needed. For this​ problem, choose the points ​(1990​,251​) and ​(2002​,325​). Choose the correct answer below.

Answer 1

The equation of the trend line can be found using the slope-intercept form:
y = mx + b
where m is the slope of the line and b is the y-intercept.

To find the slope (m), we can use the formula:
m = (y2 - y1) / (x2 - x1)

Using the points (1990, 251) and (2002, 325):
m = (325 - 251) / (2002 - 1990)
m = 74 / 12
m = 6.17

Now, let's use the y-intercept (b) and one of the points to find its value. We can rearrange the equation y = mx + b to solve for b:
b = y - mx

Using the point (1990, 251):
b = 251 - 6.17 * 1990
b ≈ -12238.23

Therefore, the equation of the trend line is:
y ≈ 6.17x - 12238.23