Question

In: Statistics and Probability

Gender is coded as 0 for Female and 1 for Male. Why and what is this...

Gender is coded as 0 for Female and 1 for Male. Why and what is this called?

Perform a multiple regression analysis using Self Esteem (SE) as the dependent variable (Y) and Age, Months Unemployed, Wage at last job, Social Support, and Financial Hardship as independent variables (X).

   What is the Multiple Regression Equation?
   What is the Coefficient of Multiple Determination?

City County State Gender Age Months Unemployed Wage at last job Social support Financial Hardship SE GSE JSSE
Boise Ada ID 1 58 26.23 13 38 53 43 34 24
Parma Canyon ID 0 17 3.02 15 47 22 33 36 23
Vale Malhuer Or 0 18 3.25 8 40 44 38 36 27
Reno Washoe NV 0 19 2.36 12 21 37 38 35 18
Ontario Malhuer OR 1 20 2.33 9 50 21 46 45 12
Reno Washoe NV 1 20 0.71 11 41 57 40 44 30
Reno Washoe NV 1 20 2.92 16 50 46 47 45 30
Reno Washoe CA 0 23 0.71 9 50 50 50 45 29
Caldwell Canyon ID 0 24 0.62 22 50 40 50 45 30
Ontario Malhuer OR 0 25 7.29 9 40 46 44 44 27
Reno Washoe NV 0 25 6.83 18 40 52 38 32 28
Boise Ada ID 0 26 2.62 9 45 29 45 37 25
Reno Washoe NV 0 26 3.58 8 38 44 40 36 24
Ontario Malhuer OR 0 27 50.06 10 49 50 39 35 30
Reno Wahoe VN 0 27 4.73 11 39 55 43 40 27
Kuna Ada Id 1 27 26.75 16 21 59 25 26 16
Reno Washoe NV 1 29 59.30 10 46 47 32 32 21
Nampa Canyon ID 1 29 3.11 12 20 70 27 24 17
Nyssa Malhuer Or 1 30 3.28 8 27 42 45 42 29
Ontario Malhuer Or 0 30 2.46 23 34 45 29 33 22
Reno Washoe NV 1 30 4.79 20 41 45 41 16 19
Ontario Malhuer OR 1 31 17.32 8 39 41 35 35 19
Reno Washoe NV 0 31 28.86 14 36 48 35 27 17
Reno Washoe NV 0 31 8.31 26 50 44 48 45 29
boise united states id 0 31 7.82 12 27 59 33 45 30
Ontario Malhuer Or 0 32 13.44 24 40 38 40 34 21
Sparks Washoe NV 1 33 5.19 8 48 32 42 39 23
Reno Washoe NV 0 33 23.27 16 25 49 37 33 24
Nyssa Malhuer OR 1 34 0.32 14 46 50 31 26 26
Ontario Malhuer Or 1 35 2.85 14 31 47 36 33 20
Reno Washoe NV 1 36 11.56 14 30 50 30 37 17
boise ada id 0 36 12.98 13 46 42 36 30 20
Reno Washoe NV 0 37 3.74 11 50 63 50 40 30
Reno Washoe NV 1 37 3.08 15 50 68 13 13 30
Meridian Ada ID 0 38 12.65 15 47 34 48 36 25
Reno Washoe NV 0 38 17.91 12 32 51 31 26 19
Ontario Malhuer OR 0 39 2.13 9 32 53 35 29 25
Reno Wahoe NV 1 39 4.56 24 41 41 41 33 22
Sparks Washoe NV 1 41 2.26 9 50 66 50 38 23
Reno Washoe NV 0 41 6.27 8 33 46 38 34 13
Boise Ada ID 1 41 9.30 9 37 51 41 27 20
Parma Canyon ID 1 43 0.75 30 47 31 40 40 28
Sparks Washoe NV 1 44 3.81 15 39 35 31 24 25
nampa canyon id 1 44 11.60 9 49 51 44 43 25
Vale Malhuer Or 1 45 1.96 9 42 43 38 36 27
Reno Washoe NV 1 45 22.38 10 49 32 41 41 24
Meridian Ada ID 1 45 20.34 8 27 49 38 34 25
Reno Washoe NV 1 46 1.93 15 50 59 33 31 26
Ontario Malhuer Or 0 46 1.83 10 48 37 40 39 28
Reno Washoe NV 0 46 5.81 10 34 56 31 31 26
Ontario Malhuer OR 0 47 0.55 8 38 49 38 36 21
Nampa Canyon ID 1 47 46.25 12 38 60 20 20 19
Sparks Washoe NV 0 48 11.70 32 46 50 44 41 30
Ontario Malhuer Or 0 48 1.93 9 24 56 33 27 22
Reno Washoe NV 0 48 45.99 14 34 60 35 40 27
Reno Washoe NV 1 48 30.30 10 26 46 34 27 20
Reno Washoe NV 0 48 3.64 9 35 42 29 32 25
Reno Washoe NV 1 48 3.35 12 38 60 37 34 30
Boise Ada ID 1 48 5.81 11 35 66 22 33 21
Sparks Washoe NV 0 49 10.25 9 45 34 45 40 24
Ontario Malhuer OR 0 50 9.79 16 30 42 38 32 24
Sparks Washoe NV 1 50 11.86 9 46 62 30 41 28
Sparks Washoe NV 1 50 13.31 13 47 63 29 36 30
Vale Malhuer Or 1 50 2.59 17 45 46 49 45 30
Ontario Malhuer OR 0 51 9.36 9 39 44 42 42 20
Ontario Malhuer Or 0 52 4.27 15 50 62 37 27 21
Reno Washoe NV 1 52 7.75 20 50 51 47 39 30
Reno Washoe NV 1 52 28.86 14 32 42 34 33 25
Ontario Malhuer Or 0 53 0.78 17 41 38 41 36 27
Reno Washoe NV 0 53 23.27 11 32 55 26 27 18
Ontario Malhuer Or 0 53 1.96 9 18 56 29 28 20
Ontario Malhuer Or 1 53 20.61 9 35 57 27 28 22
Reno Washoe NV 0 53 2.79 8 38 51 38 36 22
Garden City ADA ID 1 53 11.47 10 27 52 44 31 25
Vale Malhuer OR 0 54 0.71 10 34 63 26 30 16
Sparks Washoe NV 1 54 10.25 9 23 70 36 36 21
Reno Washoe NV 1 54 3.54 9 12 60 38 34 28
Reno Washoe NV 0 54 2.65 13 10 42 40 33 18
Nyssa Malhuer Or 1 54 1.44 10 46 38 44 29 23
Reno Washoe NV 0 54 10.25 14 30 46 26 23 26
Sparks Washoe NV 0 55 0.95 10 35 40 40 34 25
Reno Washoe NV 1 55 12.95 19 30 45 38 38 28
Sparks Washoe NV 1 55 10.64 15 49 45 46 35 24
Ontario Malhuer Or 0 55 1.67 11 38 50 39 35 20
Boise Ada Id 1 55 8.87 18 36 55 29 32 21
Nampa Canyon ID 0 55 14.33 21 42 51 40 35 23
Vale Malhuer Or 0 56 2.75 8 32 50 42 34 30
Reno Washoe NV 0 56 12.25 17 48 59 48 43 28
Reno Washoe NV 1 56 21.92 16 37 58 44 38 25
Reno Washoe NV 1 56 22.71 21 45 60 41 39 26
Sun Valley Washoe NV 1 56 11.17 15 30 62 30 28 19
Boise Ada ID 1 56 6.96 19 43 47 32 36 27
Sparks Washoe NV 0 57 1.50 12 43 26 36 35 25
Reno Washoe NV 1 57 1.80 9 46 40 32 29 30
Reno Washoe NV 1 57 15.28 14 29 46 30 24 29
Ontario Malhuer Or 0 57 1.44 9 33 44 37 33 22
Nampa Canyon ID 0 57 139.91 8 38 49 38 35 25
Reno Washoe NV 0 57 3.64 10 36 49 43 37 29
Reno Washoe NV 1 57 65.35 17 30 32 38 33 14
Ontario Mauhuer Or 1 58 6.30 13 31 42 26 30 30
Reno Washoe NV 1 58 30.30 13 49 31 48 41 30
Caldwell, Id Canyon ID 1 59 7.88 15 43 44 50 41 29
Parma Canyon ID 0 60 1.80 9 47 56 23 22 18
Sparks Washoe NV 0 60 0.75 11 39 45 40 36 26
Reno Washoe NV 1 60 40.30 14 40 34 40 34 23
Sparks Washoe NV 0 61 4.27 26 44 58 40 42 28
Reno Washoe NV 0 61 4.92 18 30 39 30 28 30
Boise ADA Id 1 61 9.85 17 40 64 33 34 23
Reno Washoe NV 1 64 55.85 13 24 56 32 34 29
Sparks Washoe NV 0 64 1.27 8 37 50 45 37 30
Reno Washoe NV 1 64 23.89 14 44 60 44 41 27
Nampa Canyon ID 1 64 24.22 16 40 35 42 36 25
Reno Washoe NV 1 67 24.39 10 48 38 39 38 26
Ontario Malhuer Or 0 68 1.31 11 44 51 40 42 30
Reno Washoe NV 0 75 1.73 10 49 38 50 37 26
Sparks Washoe NV 0 87 1.04 12 48 33 45 36 19
Ontario Malhuer Or 0 121 17.61 14 40 45 40 32 20

Solutions

Expert Solution

Result:

Gender is coded as 0 for Female and 1 for Male. Why and what is this called?

Gender is binary categorical variable and is coded as 0 for Female and 1 for Male. This is called dummy variable.

Perform a multiple regression analysis using Self Esteem (SE) as the dependent variable (Y) and Age, Months Unemployed, Wage at last job, Social Support, and Financial Hardship as independent variables (X).

   What is the Multiple Regression Equation?
  

Regression Equation

SE

=

36.66 + 0.0167 Age - 0.0292 Months Unemployed + 0.010 Wage at last job
+ 0.2591 Social support - 0.1985 Financial Hardship

What is the Coefficient of Multiple Determination?

R square = Coefficient of Multiple Determination = 0.2295

or 22.95%

MINITAB used

Regression Analysis: SE versus Age, Months ... port, Financial Hardship

Analysis of Variance

Source

DF

Adj SS

Adj MS

F-Value

P-Value

Regression

5

1400.55

280.110

6.61

0.000

Age

1

7.34

7.339

0.17

0.678

Months Unemployed

1

30.45

30.447

0.72

0.398

Wage at last job

1

0.26

0.261

0.01

0.938

Social support

1

572.94

572.941

13.53

0.000

Financial Hardship

1

456.64

456.638

10.78

0.001

Error

111

4701.45

42.355

Total

116

6102.00

Model Summary

S

R-sq

R-sq(adj)

R-sq(pred)

6.50810

22.95%

19.48%

13.84%

Coefficients

Term

Coef

SE Coef

T-Value

P-Value

VIF

Constant

36.66

4.91

7.47

0.000

Age

0.0167

0.0400

0.42

0.678

1.02

Months Unemployed

-0.0292

0.0344

-0.85

0.398

1.02

Wage at last job

0.010

0.126

0.08

0.938

1.03

Social support

0.2591

0.0705

3.68

0.000

1.09

Financial Hardship

-0.1985

0.0605

-3.28

0.001

1.05

Regression Equation

SE

=

36.66 + 0.0167 Age - 0.0292 Months Unemployed + 0.010 Wage at last job
+ 0.2591 Social support - 0.1985 Financial Hardship

orchestra answered 1 year ago
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