Dependent Variable and Variables

Run a linear regression of time spent studying (Study; independent) predicting time spent watching TV (TV; dependent). Copy and paste your output and answer the following questions.

Regression

Descriptive Statistics

Mean

Deviation

How much time do you spend watching TV per week (in hours)?

How much time do you spend studying per week (in hours)?

Correlations

How much time do you spend watching TV per week (in hours)?

How much time do you spend studying per week (in hours)?

Pearson Correlation

How much time do you spend watching TV per week (in hours)?

How much time do you spend studying per week (in hours)?

Sig. (1-tailed)

How much time do you spend watching TV per week (in hours)?

.002

How much time do you spend studying per week (in hours)?

.002

N

How much time do you spend watching TV per week (in hours)?

50

50

How much time do you spend studying per week (in hours)?

50

50

Variables Entered/Removeda

Model

Variables Entered

Variables Removed

Method

1

How much time do you spend studying per week (in hours)?b

Enter

a. Dependent Variable: How much time do you spend watching TV per week (in hours)?

b. All requested variables entered.

Model Summaryb

Model

R

R Square

Adjusted R Square

Std. Error of the Estimate

1

.397a

.158

.140

11.9242

a. Predictors: (Constant), How much time do you spend studying per week (in hours)?

b. Dependent Variable: How much time do you spend watching TV per week (in hours)?

ANOVAa

Model

Sum of Squares

df

Mean Square

F

Sig.

1

Regression

1

8.983

.004b

Residual

48

Total

49

a. Dependent Variable: How much time do you spend watching TV per week (in hours)?

b. Predictors: (Constant), How much time do you spend studying per week (in hours)?

Coefficientsa

Model

Unstandardized Coefficients

Standardized Coefficients

t

Sig.

95.0% Confidence Interval for B

B

Std. Error

Beta

Lower Bound

Upper Bound

1

(Constant)

2.386

2.756

.866

.391

-3.156

7.927

How much time do you spend studying per week (in hours)?

.878

.293

.397

2.997

.004

.289

1.467

a. Dependent Variable: How much time do you spend watching TV per week (in hours)?

Residuals Statisticsa

Minimum

Maximum

Mean

Std. Deviation

N

Predicted Value

2.386

28.734

8.920

5.1055

50

Residual

-19.9511

56.2662

.0000

11.8019

50

Std. Predicted Value

-1.280

3.881

.000

1.000

50

Std. Residual

-1.673

4.719

.000

.990

50

a. Dependent Variable: How much time do you spend watching TV per week (in hours)?

1. Is the model good (statistically significant)? Write a sentence, using the proper format, describing the results of the ANOVA test.

The model is statistically significant as there is moderate correlation between how much time a student studies and how much time a student spends watching TV, as R = .397, p < 0.05.

2. Would it be appropriate to report the value of R-squared in the Model Summary? Why or why not? If yes, report and interpret. If no, write N/A.

Yes, it is meaningful at slightly less than 16% but it is not a great predictor. R-squared = .158.

3. Is time spent studying a statistically significant predictor of time spent watching TV according to the coefficients box? Write a sentence, using the proper format, describing the results.

Yes, the standardized beta is .397, p < 0.05 and is statistically significant.

4. Look at the b coefficient. By how much would we predict time spent watching TV to change for every 1 hour increase in time spent studying? Will it increase or decrease by this amount?

.878 hours increase

Task 2. Run a linear regression of time spent studying and time spent working (Study and Work; independents) predicting time spent watching TV (TV; dependent). Copy and paste your output and answer the following questions.

Regression

Descriptive Statistics

Mean

Std. Deviation

N

How much time do you spend watching TV per week (in hours)?

7.511

6.8211

47

How much time do you spend studying per week (in hours)?

6.638

4.6680

47

How much time do you spend working per week (in hours)?

19.904

21.0451

47

Correlations

How much time do you spend watching TV per week (in hours)?

How much time do you spend studying per week (in hours)?

How much time do you spend working per week (in hours)?

Pearson Correlation

How much time do you spend watching TV per week (in hours)?

1.000

-.164

-.013

How much time do you spend studying per week (in hours)?

-.164

1.000

.061

How much time do you spend working per week (in hours)?

-.013

.061

1.000

Sig. (1-tailed)

How much time do you spend watching TV per week (in hours)?

.135

.466

How much time do you spend studying per week (in hours)?

.135

.343

How much time do you spend working per week (in hours)?

.466

.343

N

How much time do you spend watching TV per week (in hours)?

47

47

47

How much time do you spend studying per week (in hours)?

47

47

47

How much time do you spend working per week (in hours)?

47

47

47

Variables Entered/Removeda

Model

Variables Entered

Variables Removed

Method

1

How much time do you spend working per week (in hours)?, How much time do you spend studying per week (in hours)?b

Enter

a. Dependent Variable: How much time do you spend watching TV per week (in hours)?

b. All requested variables entered.

Model Summaryb

Model

R

R Square

Adjusted R Square

Std. Error of the Estimate

1

.164a

.027

-.017

6.8794

a. Predictors: (Constant), How much time do you spend working per week (in hours)?, How much time do you spend studying per week (in hours)?

b. Dependent Variable: How much time do you spend watching TV per week (in hours)?

ANOVAa

Model

Sum of Squares

df

Mean Square

F

Sig.

1

Regression

57.875

2

28.937

.611

.547b

Residual

2082.370

44

47.327

Total

46

a. Dependent Variable: How much time do you spend watching TV per week (in hours)?

b. Predictors: (Constant), How much time do you spend working per week (in hours)?, How much time do you spend studying per week (in hours)?