A kicker recorded the number of field goals made (y) at different distances from the goal posts (x). Use the data to determine the regression equation to represent the relationship between the quantities. Round to the nearest hundredth. Distance from Goal Posts (yards) Field Goals Made

20 9

25 6

30 7

35 4

40 1

45 2

50 1

y=___x+___

ŷ = -0.27X + 13.79

Step-by-step explanation:

Given the data:

Distance from goal (X) :

20

25

30

35

40

45

50

Field goals made (Y) :

9

6

7

4

1

2

1

Using a linear regression calculator, the linear model obtained is :

ŷ = -0.27X + 13.79

The number of field goals, y decrease as distance from goal. Increases, this can also be observed in the value of the slope Coefficient (-0.27).

i believe it is c.y = 9x

rise over run. 9 units up over 1 unit right or 9/1

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