|
X |
Y |
(x-x?)² |
(y-y?)² |
(x-x?)(y-y?) |
|
5.5 |
9 |
1.3225 |
1049.76 |
37.26 |
|
6.25 |
38 |
0.16 |
11.56 |
1.36 |
|
6.75 |
38 |
0.01 |
11.56 |
-0.34 |
|
7.25 |
50 |
0.36 |
73.96 |
5.16 |
|
7.5 |
72 |
0.7225 |
936.36 |
26.01 |
|
|
?X |
?Y |
?(x-x?)² |
?(y-y?)² |
?(x-x?)(y-y?) |
| total
sum |
33.25 |
207 |
2.575 |
2083.2 |
69.45 |
|
mean |
6.65 |
41.4 |
SSxx |
SSyy |
SSxy |
sample size , n = 5
here, x? = 6.65 y?
= 41.4
SSxx = ?(x-x?)² = 2.575
SSxy= ?(x-x?)(y-y?) = 69.45
R² = (Sxy)²/(Sx.Sy) =
0.8992
so, 89.92 %variation in y can be explained by the corresponding
variation in x and the least-squares line
option a) is answer
