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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 :

fichoh

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).

abidemiokin

The required linear model obtained will be ŷ = -0.27X + 13.79

Linear regression

From the given information we have the following data:

Distance from goal (X) :

20  

25

30  

35  

40  

45

50

Field goals made (Y) :  

9  

6  

7

4

1

2

 

From the given table, we can use the regression calculator to get the required equation.

Using a linear regression calculator, the required linear model obtained will be ŷ = -0.27X + 13.79

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

Learn more on regression here: https://brainly.com/question/25987747

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