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