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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...
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)?
Coefficientsa
Model
Unstandardized Coefficients
Standardized Coefficients
t
Sig.
95.0% Confidence Interval for B
B
Std. Error
Beta
Lower Bound
Upper Bound
1
(Constant)
9.122
1.962
4.649
.000
5.167
13.077
How much time do you spend studying per week (in hours)?
-.240
.218
-.164
-1.103
.276
-.679
.199
How much time do you spend working per week (in hours)?
-.001
.048
-.003
-.019
.985
-.098
.096
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
4.295
9.099
7.511
1.1217
47
Residual
-7.9074
31.5980
.0000
6.7282
47
Std. Predicted Value
-2.867
1.416
.000
1.000
47
Std. Residual
-1.149
4.593
.000
.978
47
a. Dependent Variable: How much time do you spend watching TV per week (in hours)?
1. Is the model as a whole good (statistically significant)? Write a sentence, using the proper format, describing the results of the…
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