4. Correct. The
answer is false.
Sy.x2= 1/n Compute `y=5
a. Explained variation=Σ(yest-`y)2= (1.181 - 5)2+(2.453-5)2+ . . .+(9.449-5)2=53.3935
b. Unexplained variation = Σ(y-yest)2=nsy.x2=8*2.5455=2.5455
c. Total variation=Σ(y-`y)2=56
Given the data and the estimated equation,
compute yest.
x |
1 |
3 |
4 |
6 |
8 |
9 |
11 |
14 |
y |
1 |
2 |
4 |
4 |
5 |
7 |
8 |
9 |
y=0.545 + 0.636x
x |
1 |
3 |
4 |
6 |
8 |
9 |
11 |
14 |
y |
1 |
2 |
4 |
4 |
5 |
7 |
8 |
9 |
yest |
1.181 |
2.453 |
3.089 |
4.361 |
5.633 |
6.269 |
7.541 |
9.449 |
y-yest |
0.181 |
0.453 |
-.911 |
0.361 |
0.633 |
-0.731 |
-0.459 |
0.449 |
Sy.x2= 1/8 * 0.1812+0.5432+ . . . + 0.4492 = 0.3182
sy.x=(2.5455)0.5=0.5641