Question

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+___

Answer 1

Answer:

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).