Liam and sarah have each drawn a line on the scatter plot shown below:
which line best represents the line of best fit?
line a, because it shows a positive association

line a, because it is closet to most data points

line b, because it is closest to most data points

line b, because it shows negative association

The answer is B) Line A, because it is closet to most data points.

That is your answer because Line A is the closest to most of the data points, while Line B is more farther away. Also, the line of best fit has nothing to do with the positive or negative association.

The correct answer is Line A, because it is closet to most data points.

Line A is in between most of the points and is a better line of best fit than compared with Line B.

Letter b hope it

and y≤ -x +4 .

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

.

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

y≤ -x +4 .