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The researcher is interested in learning how current family income influences ma

ID: 3268048 • Letter: T

Question

The researcher is interested in learning how current family income influences maintaining a positive attitude and life satisfaction. A MANOVA has been conducted to analyze the influence of current family income on maintaining a positive attitude and life satisfaction.

Question: In narrative form, discuss the results of this analysis.

Descriptive Statistics

current family income

Mean

Std. Deviation

N

life satisfaction

DTS

4.5429

1.04987

7

<10,000

4.3003

.90816

35

10-20,000

4.6212

.90083

51

20-30,000

5.0256

.74775

55

30-40,000

4.9982

.92114

40

40-50,000

5.0600

.82334

38

50,000+

5.3467

.59501

3

Total

4.8151

.89571

229

maintenance of positive attitude

DTS

5.00

1.414

7

<10,000

5.11

1.694

35

10-20,000

5.22

1.792

51

20-30,000

5.29

1.499

55

30-40,000

5.45

1.358

40

40-50,000

5.55

1.350

38

50,000+

6.33

.577

3

Total

5.32

1.539

229

Multivariate Testsa

Effect

Value

F

Hypothesis df

Error df

Sig.

Partial Eta Squared

Intercept

Pillai's Trace

.937

1644.283b

2.000

221.000

.000

.937

Wilks' Lambda

.063

1644.283b

2.000

221.000

.000

.937

Hotelling's Trace

14.880

1644.283b

2.000

221.000

.000

.937

Roy's Largest Root

14.880

1644.283b

2.000

221.000

.000

.937

income

Pillai's Trace

.111

2.181

12.000

444.000

.012

.056

Wilks' Lambda

.889

2.224b

12.000

442.000

.010

.057

Hotelling's Trace

.124

2.267

12.000

440.000

.009

.058

Roy's Largest Root

.117

4.337c

6.000

222.000

.000

.105

a. Design: Intercept + income

b. Exact statistic

c. The statistic is an upper bound on F that yields a lower bound on the significance level.

Tests of Between-Subjects Effects

Source

Dependent Variable

Type III Sum of Squares

df

Mean Square

F

Sig.

Partial Eta Squared

Corrected Model

life satisfaction

18.618a

6

3.103

4.193

.001

.102

maintenance of positive attitude

8.610b

6

1.435

.599

.731

.016

Intercept

life satisfaction

1934.535

1

1934.535

2613.859

.000

.922

maintenance of positive attitude

2426.000

1

2426.000

1013.349

.000

.820

income

life satisfaction

18.618

6

3.103

4.193

.001

.102

maintenance of positive attitude

8.610

6

1.435

.599

.731

.016

Error

life satisfaction

164.304

222

.740

maintenance of positive attitude

531.477

222

2.394

Total

life satisfaction

5492.225

229

maintenance of positive attitude

7029.000

229

Corrected Total

life satisfaction

182.922

228

maintenance of positive attitude

540.087

228

a. R Squared = .102 (Adjusted R Squared = .078)

b. R Squared = .016 (Adjusted R Squared = -.011)

Estimated Marginal Means

current family income

Dependent Variable

current family income

Mean

Std. Error

95% Confidence Interval

Lower Bound

Upper Bound

life satisfaction

DTS

4.543

.325

3.902

5.184

<10,000

4.300

.145

4.014

4.587

10-20,000

4.621

.120

4.384

4.859

20-30,000

5.026

.116

4.797

5.254

30-40,000

4.998

.136

4.730

5.266

40-50,000

5.060

.140

4.785

5.335

50,000+

5.347

.497

4.368

6.326

maintenance of positive attitude

DTS

5.000

.585

3.848

6.152

<10,000

5.114

.262

4.599

5.630

10-20,000

5.216

.217

4.789

5.643

20-30,000

5.291

.209

4.880

5.702

30-40,000

5.450

.245

4.968

5.932

40-50,000

5.553

.251

5.058

6.047

50,000+

6.333

.893

4.573

8.094

In narrative form, discuss the results of this analysis.

The researcher is interested in learning how current family income influences maintaining a positive attitude and life satisfaction. A MANOVA has been conducted to analyze the influence of current family income on maintaining a positive attitude and life satisfaction.

Based on your experience in this course, present tables to adequately report the results of this analysis.

Descriptive Statistics

current family income

Mean

Std. Deviation

N

life satisfaction

DTS

4.5429

1.04987

7

<10,000

4.3003

.90816

35

10-20,000

4.6212

.90083

51

20-30,000

5.0256

.74775

55

30-40,000

4.9982

.92114

40

40-50,000

5.0600

.82334

38

50,000+

5.3467

.59501

3

Total

4.8151

.89571

229

maintenance of positive attitude

DTS

5.00

1.414

7

<10,000

5.11

1.694

35

10-20,000

5.22

1.792

51

20-30,000

5.29

1.499

55

30-40,000

5.45

1.358

40

40-50,000

5.55

1.350

38

50,000+

6.33

.577

3

Total

5.32

1.539

229

Multivariate Testsa

Effect

Value

F

Hypothesis df

Error df

Sig.

Partial Eta Squared

Intercept

Pillai's Trace

.937

1644.283b

2.000

221.000

.000

.937

Wilks' Lambda

.063

1644.283b

2.000

221.000

.000

.937

Hotelling's Trace

14.880

1644.283b

2.000

221.000

.000

.937

Roy's Largest Root

14.880

1644.283b

2.000

221.000

.000

.937

income

Pillai's Trace

.111

2.181

12.000

444.000

.012

.056

Wilks' Lambda

.889

2.224b

12.000

442.000

.010

.057

Hotelling's Trace

.124

2.267

12.000

440.000

.009

.058

Roy's Largest Root

.117

4.337c

6.000

222.000

.000

.105

a. Design: Intercept + income

b. Exact statistic

c. The statistic is an upper bound on F that yields a lower bound on the significance level.

Tests of Between-Subjects Effects

Source

Dependent Variable

Type III Sum of Squares

df

Mean Square

F

Sig.

Partial Eta Squared

Corrected Model

life satisfaction

18.618a

6

3.103

4.193

.001

.102

maintenance of positive attitude

8.610b

6

1.435

.599

.731

.016

Intercept

life satisfaction

1934.535

1

1934.535

2613.859

.000

.922

maintenance of positive attitude

2426.000

1

2426.000

1013.349

.000

.820

income

life satisfaction

18.618

6

3.103

4.193

.001

.102

maintenance of positive attitude

8.610

6

1.435

.599

.731

.016

Error

life satisfaction

164.304

222

.740

maintenance of positive attitude

531.477

222

2.394

Total

life satisfaction

5492.225

229

maintenance of positive attitude

7029.000

229

Corrected Total

life satisfaction

182.922

228

maintenance of positive attitude

540.087

228

a. R Squared = .102 (Adjusted R Squared = .078)

b. R Squared = .016 (Adjusted R Squared = -.011)

Estimated Marginal Means

current family income

Dependent Variable

current family income

Mean

Std. Error

95% Confidence Interval

Lower Bound

Upper Bound

life satisfaction

DTS

4.543

.325

3.902

5.184

<10,000

4.300

.145

4.014

4.587

10-20,000

4.621

.120

4.384

4.859

20-30,000

5.026

.116

4.797

5.254

30-40,000

4.998

.136

4.730

5.266

40-50,000

5.060

.140

4.785

5.335

50,000+

5.347

.497

4.368

6.326

maintenance of positive attitude

DTS

5.000

.585

3.848

6.152

<10,000

5.114

.262

4.599

5.630

10-20,000

5.216

.217

4.789

5.643

20-30,000

5.291

.209

4.880

5.702

30-40,000

5.450

.245

4.968

5.932

40-50,000

5.553

.251

5.058

6.047

50,000+

6.333

.893

4.573

8.094

Descriptive Statistics

current family income

Mean

Std. Deviation

N

life satisfaction

DTS

4.5429

1.04987

7

<10,000

4.3003

.90816

35

10-20,000

4.6212

.90083

51

20-30,000

5.0256

.74775

55

30-40,000

4.9982

.92114

40

40-50,000

5.0600

.82334

38

50,000+

5.3467

.59501

3

Total

4.8151

.89571

229

maintenance of positive attitude

DTS

5.00

1.414

7

<10,000

5.11

1.694

35

10-20,000

5.22

1.792

51

20-30,000

5.29

1.499

55

30-40,000

5.45

1.358

40

40-50,000

5.55

1.350

38

50,000+

6.33

.577

3

Total

5.32

1.539

229

Explanation / Answer

The given Multivariate analysis of variance consists of one independent variable “Income” and two dependent variable “Positive Attitude” and “Life Satisfaction”.

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