A Statistic question?

Question

i Xi Yi

--------------------------------------...

1 3 -5

2 1 4

3 4 2

4 -1 0

5 3 3

6 -2 1

7 -1 -3

Use data to answer the following questions.

This thing { stands for the greek letter sigam our S.

" i " stands for the observation number.

A. { (yi^2)=

B. ( { yi)^2

C. ( { (xi + yi))^2

D. { (xi) + 2

E. { (3- xi)

F. { (Xi + 1)

G. { yi

Can anyone show me how to do these?

Answer 1

A.

Σ [i=1 to 7] Yi² =

(-5)² + 4² + 2² + 0² + 3² + 1² + (-3)² =

25 + 16 + 4 +0 + 9 + 1 + 9 =

64

B.

(Σ [i=1 to 7] Yi)² =

(-5 + 4 + 2 + 0 + 3 + 1 - 3)² =

2² =

4

C.

(Σ [i=1 to 7] (Xi+Yi))² =

((3-5) + (1+4) + (4+2) + (-1+0) + (3+3) + (-2+1) + (-1-3))² =

((-2) + (5) + (6) + (-1) + (6) + (-1) + (-4))² =

9² =

81

D.

(Σ [i=1 to 7] (Xi)) + 2 =

(3 + 1 + 4 -1 + 3 - 2 - 1) + 2 =

7 + 2 =

9

E.

Σ [i=1 to 7] (3 - Xi) =

(3-3) + (3-1) + (3-4) + (3-(-1)) + (3-3) + (3-(-2)) + (3-(-1)) =

(0) + (2) + (-1) + (4) + (0) + (5) + (4) =

14

F.

Σ [i=1 to 7] (Xi + 1) =

(3+1) + (1+1) + (4+1) + (-1+1) + (3+1) + (-2+1) + (-1+1) =

(4) + (2) + (5) + (0) + (4) + (-1) + (0) =

14

G.

Σ [i=1 to 7] Yi =

-5 + 4 + 2 + 0 + 3 + 1 - 3 =

2

Answer 2

Yi ----- (Yi)^2

-5 ----- 25

4 ----- 16

2 ----- 4

0 ----- 0

3 ----- 9

1 ----- 1

-3 ----- 9

=== ----- ===

2 ----- 64

SUM(Yi) = 2

SUM(Yi^2) = 64