Question

What is the value of r^2 for the following data to three decimal places

Answer 1

Answer:

Step-by-step explanation:

Given that x and y are two variables as listed below

We have to find r^2 the coefficient of determination

x     y       xy       x^2    y^2

1      2       2            1      4

2      4       8           4     16

5       7      35         25   49

7      10      70         49   100

10     20    200      100  400

------------------------------------------

25     33    315      179    569

Mean x = 5:  Var X= 35.8-25 =10.8:  std devX =3.286

Mean Y = 6.6 Var Y=113.8-43.56=70.24L std dev Y = 8.381

Cov (XY) = 63-5(6,6) = 27

r = cov/S_x S_y

r=0.980

r^2 =0.9612

Answer 2

B. 0.930 ~Apex ;) .....................................