Лабораторная работа №3

Простейшая обработка данных

x

y

1

11

25

2

13

27

3

15

31

4

18

30

5

20

38

6

22

43

7

24

44

8

25

42

9

27

49

10

29

77

среднее значение

=СРЗНАЧ(B3:B12)

=СРЗНАЧ(C3:C12)

Коэффициенты регрессии

a

b

7,9

1,47

Расчеты сумм

y_t

(y - y_ср

y - yt

yt - yср

=$A$17+$B$17*B3

=(C3-$C$13)^2

=(C3-E3)^2

=(E3-$C$13)^2

=$A$17+$B$17*B4

=(C4-$C$13)^2

=(C4-E4)^2

=(E4-$C$13)^2

=$A$17+$B$17*B5

=(C5-$C$13)^2

=(C5-E5)^2

=(E5-$C$13)^2

=$A$17+$B$17*B6

=(C6-$C$13)^2

=(C6-E6)^2

=(E6-$C$13)^2

=$A$17+$B$17*B7

=(C7-$C$13)^2

=(C7-E7)^2

=(E7-$C$13)^2

=$A$17+$B$17*B8

=(C8-$C$13)^2

=(C8-E8)^2

=(E8-$C$13)^2

=$A$17+$B$17*B9

=(C9-$C$13)^2

=(C9-E9)^2

=(E9-$C$13)^2

=$A$17+$B$17*B10

=(C10-$C$13)^2

=(C10-E10)^2

=(E10-$C$13)^2

=$A$17+$B$17*B11

=(C11-$C$13)^2

=(C11-E11)^2

=(E11-$C$13)^2

=$A$17+$B$17*B12

=(C12-$C$13)^2

=(C12-E12)^2

=(E12-$C$13)^2

Сумма квадратов

=СУММ(F3:F12)

=СУММ(G3:G12)

=СУММ(H3:H12)

Общая

Остаточная

Объясненная регрессией

Коэффициент детерминации

=1-G13/F13

Простейшая обработка данных

x

y

1

36

104

=LN(C3)

=LN(B3)

=D3*E3

=E3^2

2

28

77

=LN(C4)

=LN(B4)

=D4*E4

=E4^2

3

43

117

=LN(C5)

=LN(B5)

=D5*E5

=E5^2

4

52

137

=LN(C6)

=LN(B6)

=D6*E6

=E6^2

5

51

143

=LN(C7)

=LN(B7)

=D7*E7

=E7^2

6

54

144

=LN(C8)

=LN(B8)

=D8*E8

=E8^2

7

25

82

=LN(C9)

=LN(B9)

=D9*E9

=E9^2

8

37

101

=LN(C10)

=LN(B10)

=D10*E10

=E10^2

9

51

132

=LN(C11)

=LN(B11)

=D11*E11

=E11^2

10

29

77

=LN(C12)

=LN(B12)

=D12*E12

=E12^2

среднее значение

=СРЗНАЧ(B3:B12)

=СРЗНАЧ(C3:C12)

=СРЗНАЧ(D3:D12)

=СРЗНАЧ(E3:E12)

=СРЗНАЧ(F3:F12)

=СРЗНАЧ(G3:G12)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

Коэффициенты регрессии

A

b

=D13-B17*E13

=(F13-E13*D13)/(G13-E13^2)

Потенцирование

a

b

=EXP(A17)

=B17

Расчеты сумм

yt

y-yср

y-yt

yt-yср

=$A$20*B3^$B$20

=(C3-$C$13)^2

=(C3-I3)^2

=(I3-$C$13)^2

=$A$20*B4^$B$20

=(C4-$C$13)^2

=(C4-I4)^2

=(I4-$C$13)^2

=$A$20*B5^$B$20

=(C5-$C$13)^2

=(C5-I5)^2

=(I5-$C$13)^2

=$A$20*B6^$B$20

=(C6-$C$13)^2

=(C6-I6)^2

=(I6-$C$13)^2

=$A$20*B7^$B$20

=(C7-$C$13)^2

=(C7-I7)^2

=(I7-$C$13)^2

=$A$20*B8^$B$20

=(C8-$C$13)^2

=(C8-I8)^2

=(I8-$C$13)^2

=$A$20*B9^$B$20

=(C9-$C$13)^2

=(C9-I9)^2

=(I9-$C$13)^2

=$A$20*B10^$B$20

=(C10-$C$13)^2

=(C10-I10)^2

=(I10-$C$13)^2

=$A$20*B11^$B$20

=(C11-$C$13)^2

=(C11-I11)^2

=(I11-$C$13)^2

=$A$20*B12^$B$20

=(C12-$C$13)^2

=(C12-I12)^2

=(I12-$C$13)^2

Сумма квадратов

=СУММ(J3:J12)

=СУММ(K3:K12)

=СУММ(L3:L12)

Общая

Остаточная

Объясненная регрессией

Коэффициент детерминации

=1-K13/J13

Простейшая обработка данных

x

y

1

36

104

=LN(C3)

=B3

=D3*E3

=E3*E3

2

28

77

=LN(C4)

=B4

=D4*E4

=E4*E4

3

43

117

=LN(C5)

=B5

=D5*E5

=E5*E5

4

52

137

=LN(C6)

=B6

=D6*E6

=E6*E6

5

51

143

=LN(C7)

=B7

=D7*E7

=E7*E7

6

54

144

=LN(C8)

=B8

=D8*E8

=E8*E8

7

25

82

=LN(C9)

=B9

=D9*E9

=E9*E9

8

37

101

=LN(C10)

=B10

=D10*E10

=E10*E10

9

51

132

=LN(C11)

=B11

=D11*E11

=E11*E11

29

77

среднее значение

=СРЗНАЧ(B3:B11)

=СРЗНАЧ(C3:C11)

=СРЗНАЧ(D3:D11)

=СРЗНАЧ(E3:E11)

=СРЗНАЧ(F3:F11)

=СРЗНАЧ(G3:G11)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

Коэффициенты регрессии

A

b

=D13-B17*E13

=(F13-E13*D13)/(G13-E13^2)

Потенцирование

a

b

=EXP(A17)

=EXP(B17)

Расчеты сумм

yt

y-yср

y-yt

yt-yср

=$A$20*$B$20^B3

=(C3-$C$13)^2

=(C3-I3)^2

=(I3-$C$13)^2

=$A$20*$B$20^B4

=(C4-$C$13)^2

=(C4-I4)^2

=(I4-$C$13)^2

=$A$20*$B$20^B5

=(C5-$C$13)^2

=(C5-I5)^2

=(I5-$C$13)^2

=$A$20*$B$20^B6

=(C6-$C$13)^2

=(C6-I6)^2

=(I6-$C$13)^2

=$A$20*$B$20^B7

=(C7-$C$13)^2

=(C7-I7)^2

=(I7-$C$13)^2

=$A$20*$B$20^B8

=(C8-$C$13)^2

=(C8-I8)^2

=(I8-$C$13)^2

=$A$20*$B$20^B9

=(C9-$C$13)^2

=(C9-I9)^2

=(I9-$C$13)^2

=$A$20*$B$20^B10

=(C10-$C$13)^2

=(C10-I10)^2

=(I10-$C$13)^2

=$A$20*$B$20^B11

=(C11-$C$13)^2

=(C11-I11)^2

=(I11-$C$13)^2

Сумма квадратов

=СУММ(J3:J11)

=СУММ(K3:K11)

=СУММ(L3:L11)

Общая

Остаточная

Объясненная регрессией

Коэффициент детерминации

=1-K13/J13

Простейшая обработка данных

x

y

1

36

104

=1/C3

=B3

=D3*E3

=E3*E3

2

28

77

=1/C4

=B4

=D4*E4

=E4*E4

3

43

117

=1/C5

=B5

=D5*E5

=E5*E5

4

52

137

=1/C6

=B6

=D6*E6

=E6*E6

5

51

143

=1/C7

=B7

=D7*E7

=E7*E7

6

54

144

=1/C8

=B8

=D8*E8

=E8*E8

7

25

82

=1/C9

=B9

=D9*E9

=E9*E9

8

37

101

=1/C10

=B10

=D10*E10

=E10*E10

9

51

132

=1/C11

=B11

=D11*E11

=E11*E11

29

77

среднее значение

=СРЗНАЧ(B3:B11)

=СРЗНАЧ(C3:C11)

=СРЗНАЧ(D3:D11)

=СРЗНАЧ(E3:E11)

=СРЗНАЧ(F3:F11)

=СРЗНАЧ(G3:G11)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

Коэффициенты регрессии

A

b

=D13-B17*E13

=(F13-E13*D13)/(G13-E13^2)

Потенцирование

a

b

=A17

=B17

Расчеты сумм

yt

y-yср

y-yt

yt-yср

=1/($A$20+$B$20*B3)

=(C3-$C$13)^2

=(C3-I3)^2

=(I3-$C$13)^2

=1/($A$20+$B$20*B4)

=(C4-$C$13)^2

=(C4-I4)^2

=(I4-$C$13)^2

=1/($A$20+$B$20*B5)

=(C5-$C$13)^2

=(C5-I5)^2

=(I5-$C$13)^2

=1/($A$20+$B$20*B6)

=(C6-$C$13)^2

=(C6-I6)^2

=(I6-$C$13)^2

=1/($A$20+$B$20*B7)

=(C7-$C$13)^2

=(C7-I7)^2

=(I7-$C$13)^2

=1/($A$20+$B$20*B8)

=(C8-$C$13)^2

=(C8-I8)^2

=(I8-$C$13)^2

=1/($A$20+$B$20*B9)

=(C9-$C$13)^2

=(C9-I9)^2

=(I9-$C$13)^2

=1/($A$20+$B$20*B10)

=(C10-$C$13)^2

=(C10-I10)^2

=(I10-$C$13)^2

=1/($A$20+$B$20*B11)

=(C11-$C$13)^2

=(C11-I11)^2

=(I11-$C$13)^2

Сумма квадратов

=СУММ(J3:J11)

=СУММ(K3:K11)

=СУММ(L3:L11)

Общая

Остаточная

Объясненная регрессией

Коэффициент детерминации

=1-K13/J13

Простейшая обработка данных

x

y

1

36

104

=C3

=LN(B3)

=D3*E3

=E3*E3

2

28

77

=C4

=LN(B4)

=D4*E4

=E4*E4

3

43

117

=C5

=LN(B5)

=D5*E5

=E5*E5

4

52

137

=C6

=LN(B6)

=D6*E6

=E6*E6

5

51

143

=C7

=LN(B7)

=D7*E7

=E7*E7

6

54

144

=C8

=LN(B8)

=D8*E8

=E8*E8

7

25

82

=C9

=LN(B9)

=D9*E9

=E9*E9

8

37

101

=C10

=LN(B10)

=D10*E10

=E10*E10

9

51

132

=C11

=LN(B11)

=D11*E11

=E11*E11

29

77

среднее значение

=СРЗНАЧ(B3:B11)

=СРЗНАЧ(C3:C11)

=СРЗНАЧ(D3:D11)

=СРЗНАЧ(E3:E11)

=СРЗНАЧ(F3:F11)

=СРЗНАЧ(G3:G11)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

Коэффициенты регрессии

A

B

=D13-B17*E13

=(F13-E13*D13)/(G13-E13^2)

Потенцирование

a

b

=A17

=B17

Расчеты сумм

yt

y-yср

y-yt

yt-yср

=$A$20+$B$20*LN(B3)

=(C3-$C$13)^2

=(C3-I3)^2

=(I3-$C$13)^2

=$A$20+$B$20*LN(B4)

=(C4-$C$13)^2

=(C4-I4)^2

=(I4-$C$13)^2

=$A$20+$B$20*LN(B5)

=(C5-$C$13)^2

=(C5-I5)^2

=(I5-$C$13)^2

=$A$20+$B$20*LN(B6)

=(C6-$C$13)^2

=(C6-I6)^2

=(I6-$C$13)^2

=$A$20+$B$20*LN(B7)

=(C7-$C$13)^2

=(C7-I7)^2

=(I7-$C$13)^2

=$A$20+$B$20*LN(B8)

=(C8-$C$13)^2

=(C8-I8)^2

=(I8-$C$13)^2

=$A$20+$B$20*LN(B9)

=(C9-$C$13)^2

=(C9-I9)^2

=(I9-$C$13)^2

=$A$20+$B$20*LN(B10)

=(C10-$C$13)^2

=(C10-I10)^2

=(I10-$C$13)^2

=$A$20+$B$20*LN(B11)

=(C11-$C$13)^2

=(C11-I11)^2

=(I11-$C$13)^2

Сумма квадратов

=СУММ(J3:J11)

=СУММ(K3:K11)

=СУММ(L3:L11)

Общая

Остаточная

Объясненная регрессией

Коэффициент детерминации

=1-K13/J13

Простейшая обработка данных

x

y

1

36

104

=C3

=1/B3

=D3*E3

=E3*E3

2

28

77

=C4

=1/B4

=D4*E4

=E4*E4

3

43

117

=C5

=1/B5

=D5*E5

=E5*E5

4

52

137

=C6

=1/B6

=D6*E6

=E6*E6

5

51

143

=C7

=1/B7

=D7*E7

=E7*E7

6

54

144

=C8

=1/B8

=D8*E8

=E8*E8

7

25

82

=C9

=1/B9

=D9*E9

=E9*E9

8

37

101

=C10

=1/B10

=D10*E10

=E10*E10

9

51

132

=C11

=1/B11

=D11*E11

=E11*E11

29

77

среднее значение

=СРЗНАЧ(B3:B11)

=СРЗНАЧ(C3:C11)

=СРЗНАЧ(D3:D11)

=СРЗНАЧ(E3:E11)

=СРЗНАЧ(F3:F11)

=СРЗНАЧ(G3:G11)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

Коэффициенты регрессии

A

B

=D13-B17*E13

=(F13-E13*D13)/(G13-E13^2)

Потенцирование

a

b

=A17

=B17

Расчеты сумм

yt

y-yср

y-yt

yt-yср

=$A$20+$B$20/B3

=(C3-$C$13)^2

=(C3-I3)^2

=(I3-$C$13)^2

=$A$20+$B$20/B4

=(C4-$C$13)^2

=(C4-I4)^2

=(I4-$C$13)^2

=$A$20+$B$20/B5

=(C5-$C$13)^2

=(C5-I5)^2

=(I5-$C$13)^2

=$A$20+$B$20/B6

=(C6-$C$13)^2

=(C6-I6)^2

=(I6-$C$13)^2

=$A$20+$B$20/B7

=(C7-$C$13)^2

=(C7-I7)^2

=(I7-$C$13)^2

=$A$20+$B$20/B8

=(C8-$C$13)^2

=(C8-I8)^2

=(I8-$C$13)^2

=$A$20+$B$20/B9

=(C9-$C$13)^2

=(C9-I9)^2

=(I9-$C$13)^2

=$A$20+$B$20/B10

=(C10-$C$13)^2

=(C10-I10)^2

=(I10-$C$13)^2

=$A$20+$B$20/B11

=(C11-$C$13)^2

=(C11-I11)^2

=(I11-$C$13)^2

Сумма квадратов

=СУММ(J3:J11)

=СУММ(K3:K11)

=СУММ(L3:L11)

Общая

Остаточная

Объясненная регрессией

Коэффициент детерминации

=1-K13/J13

Простейшая обработка данных

x

y

1

36

104

=LN(C3)

=B3

=D3*E3

=E3*E3

2

28

77

=LN(C4)

=B4

=D4*E4

=E4*E4

3

43

117

=LN(C5)

=B5

=D5*E5

=E5*E5

4

52

137

=LN(C6)

=B6

=D6*E6

=E6*E6

5

51

143

=LN(C7)

=B7

=D7*E7

=E7*E7

6

54

144

=LN(C8)

=B8

=D8*E8

=E8*E8

7

25

82

=LN(C9)

=B9

=D9*E9

=E9*E9

8

37

101

=LN(C10)

=B10

=D10*E10

=E10*E10

9

51

132

=LN(C11)

=B11

=D11*E11

=E11*E11

29

77

среднее значение

=СРЗНАЧ(B3:B11)

=СРЗНАЧ(C3:C11)

=СРЗНАЧ(D3:D11)

=СРЗНАЧ(E3:E11)

=СРЗНАЧ(F3:F11)

=СРЗНАЧ(G3:G11)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

=ЛИНЕЙН(D3:D11;E3:E11;1;1)

Коэффициенты регрессии

A

b

=D13-B17*E13

=(F13-E13*D13)/(G13-E13^2)

Потенцирование

a

b

=EXP(A17)

=B17

Расчеты сумм

yt

y-yср

y-yt

yt-yср

=$A$20*EXP($B$20*B3)

=(C3-$C$13)^2

=(C3-I3)^2

=(I3-$C$13)^2

=$A$20*EXP($B$20*B4)

=(C4-$C$13)^2

=(C4-I4)^2

=(I4-$C$13)^2

=$A$20*EXP($B$20*B5)

=(C5-$C$13)^2

=(C5-I5)^2

=(I5-$C$13)^2

=$A$20*EXP($B$20*B6)

=(C6-$C$13)^2

=(C6-I6)^2

=(I6-$C$13)^2

=$A$20*EXP($B$20*B7)

=(C7-$C$13)^2

=(C7-I7)^2

=(I7-$C$13)^2

=$A$20*EXP($B$20*B8)

=(C8-$C$13)^2

=(C8-I8)^2

=(I8-$C$13)^2

=$A$20*EXP($B$20*B9)

=(C9-$C$13)^2

=(C9-I9)^2

=(I9-$C$13)^2

=$A$20*EXP($B$20*B10)

=(C10-$C$13)^2

=(C10-I10)^2

=(I10-$C$13)^2

=$A$20*EXP($B$20*B11)

=(C11-$C$13)^2

=(C11-I11)^2

=(I11-$C$13)^2

Сумма квадратов

=СУММ(J3:J11)

=СУММ(K3:K11)

=СУММ(L3:L11)

Общая

Остаточная

Объясненная регрессией

Коэффициент детерминации

=1-K13/J13