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Jet001 [13]
3 years ago
7

If you know how to do this please help me then will give brainliest

Mathematics
1 answer:
Sophie [7]3 years ago
7 0

Answer:

The required equation is:

y=\mathbf{-0.271}x+\mathbf{13.876}

Step-by-step explanation:

We have x = Distance of goal posts

y = field Goals made

The data given is:

x       y

20     9

25      6

30       7

35       4

40       1

45        2

50        1

We need to find the regression equation y = bx + a

Where b=\frac{SP}{SS_x}  \:and\: a=M_y-bM_x

Sum of all values of x = 245

Sum of all values of y = 30

Now, calculating mean using formula: Mean=\frac{Sum\:of\:all|\:values}{Number\:of\:values}

Mean of x (Mₓ) = 35

Mean of y (M_y) = 4.28

Sum of squares (SSₓ) = 700

Sum of products (SP) = -190

Now, finding b:

b=\frac{SP}{SS_x}  \\b=\frac{-190}{700}\\b=-0.271

Now, finding a:

a=M_y-bM_x\\a=4.28-(-0.271*35)\\a=13.786

So, the required equation is:

y=\mathbf{-0.271}x+\mathbf{13.876}

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