Question

what is the equation for the linear model in the scatter plot obtained by choosing the two points closest to the line ? Variable X: 25,4, 6, 15, 7, 20, 8Variable Y: 35,12,36,22, 29,36, 9A: y= -1.5 +6B: y= 1.5x +6C: y= 1.5x - 12D: y=2x +6

Answer 1

We would pick the coordinates of x and y for the points closest to the line.

Looking at the first point at the bottom, x1 = 4, y1 = 12

Looking at the second point at the top, x2 = 20, y2 = 36

Slope, m = (y2 - y1)/(x2 - x1)

m = (36 - 12)/(20 - 4) = 24/16

m = 1.5

The equation of the line in the slope intercept form is written as

y = mx + c

Where c represents the y intercept

Substituting m = 1.5, x = 20 and y = 36 into the slope intercept equation, it becomes

36 = 1.5 * 20 + c

36 = 30 + c

c = 36 - 30

c = 6

Substituting c = 6 and m = 1.5 into the slope intercept equation, it becomes

y = 1.5x + 6

The correct option is B