# Benchmark Assignment: Correlation and Regression Project

## Benchmark Assignment: Correlation and Regression Project

*Benchmark Assignment: Correlation and Regression Project*

The three variables selected included alcohol consumption, stress and social events. The variables have linear relationship as evident in the research conducted among 11 college students.

- Specify which variable is dependent and which are independent.

For the selected variables, the depended variable is alcohol consumption while the independent variables are stress and social events.

- Collect the data for these variables and describe your data collection technique and why it was appropriate as well as why the sample size was best.

The study participants were randomly selected and the data obtained used to explore the correlation between the variables. Both the independent and dependent variables were measured in terms of frequency on weekly basis.

- Submit the data collected by submitting the SPSS data file with your submission.
- Submit the data collected by submitting the SPSS data file with your submission.

Alcohol intake (times per month) | Stress level | Frequency of participating in social events (per month) |

8 | 9 | 20 |

9 | 13 | 19 |

7 | 14 | 13 |

3 | 4 | 7 |

5 | 7 | 17 |

8 | 11 | 18 |

12 | 13 | 24 |

9 | 10 | 22 |

7 | 5 | 14 |

6 | 6 | 11 |

8 | 11 | 16 |

3 | 7 | 9 |

1 | 2 | 2 |

9 | 17 | 20 |

3 | 6 | 13 |

10 | 19 | 22 |

9 | 15 | 17 |

4 | 7 | 9 |

9 | 13 | 16 |

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Model Summary |
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Model | R | R Square | Adjusted R Square | Std. Error of the Estimate | Change Statistics | |||||||||||||||||||

R Square Change | F Change | df1 | df2 | Sig. F Change | ||||||||||||||||||||

1 | .929^{a} |
.863 | .846 | 1.1506 | .863 | 50.357 | 2 | 16 | .000 | |||||||||||||||

a. Predictors: (Constant), Frequencyofparticipatinginsocialeventspermonth, Stresslevel | ||||||||||||||||||||||||

ANOVA^{a} |
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Model | Sum of Squares | df | Mean Square | F | Sig. | |||||||||||||||||||

1 | Regression | 133.343 | 2 | 66.671 | 50.357 | .000^{b} |
||||||||||||||||||

Residual | 21.183 | 16 | 1.324 | |||||||||||||||||||||

Total | 154.526 | 18 | ||||||||||||||||||||||

a. Dependent Variable: Alcoholintaketimespermonth | ||||||||||||||||||||||||

b. Predictors: (Constant), Frequencyofparticipatinginsocialeventspermonth, Stresslevel | ||||||||||||||||||||||||

Coefficients^{a} |
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Model | Unstandardized Coefficients | Standardized Coefficients | t | Sig. | Correlations | |||||||||||||||||||

B | Std. Error | Beta | Zero-order | Partial | Part | |||||||||||||||||||

1 | (Constant) | -.359 | .770 | -.466 | .647 | |||||||||||||||||||

Stresslevel | .201 | .087 | .317 | 2.318 | .034 | .811 | .501 | .215 | ||||||||||||||||

Frequencyofparticipatinginsocialeventspermonth | .342 | .070 | .670 | 4.890 | .000 | .904 | .774 | .453 | ||||||||||||||||

a. Dependent Variable: Alcoholintaketimespermonth | ||||||||||||||||||||||||

- Find the Correlation coefficient for each of the possible pairings of dependent and independent variables and describe the relationship in terms of strength and direction.

The correlation coefficient is as following, with a significant correlation of 0.01.

Correlations |
||||

Alcoholintaketimespermonth | Stresslevel | Frequencyofparticipatinginsocialeventspermonth | ||

Alcoholintaketimespermonth | Pearson Correlation | 1 | .811^{**} |
.904^{**} |

Sig. (2-tailed) | .000 | .000 | ||

Sum of Squares and Cross-products | 154.526 | 197.842 | 273.632 | |

Covariance | 8.585 | 10.991 | 15.202 | |

N | 19 | 19 | 19 | |

Stresslevel | Pearson Correlation | .811^{**} |
1 | .737^{**} |

Sig. (2-tailed) | .000 | .000 | ||

Sum of Squares and Cross-products | 197.842 | 384.947 | 352.211 | |

Covariance | 10.991 | 21.386 | 19.567 | |

N | 19 | 19 | 19 | |

Frequencyofparticipatinginsocialeventspermonth | Pearson Correlation | .904^{**} |
.737^{**} |
1 |

Sig. (2-tailed) | .000 | .000 | ||

Sum of Squares and Cross-products | 273.632 | 352.211 | 593.158 | |

Covariance | 15.202 | 19.567 | 32.953 | |

N | 19 | 19 | 19 | |

**. Correlation is significant at the 0.01 level (2-tailed). |

- Find a linear model of the relationship between the three (or more) variables of interest.

The relationship between the three variables can be explained in the following equation:

Y=bX+ɑ. Therefore the linear model is as following

Alcohol consumption=-0.359 stress level + 0.342

- Explain the validity of the model.

The correlation found is 0.8 with 0.00% significance. From the findings, there is a significant linear relationship between the variables; though, the external validity is limited and thus the findings cannot be generalized to the population (Khorsan & Crawford, 2014). The conclusion is that the alcohol consumption behavior among students is influenced by stress and social events and parties.

Directions: Use the following information to complete the questions below. While APA format is not required for the body of this

assignment, solid academic writing is expected, and documentation of sources should be presented using APA formatting guidelines, which can be found in the APA Style Guide, located in the Student Success Center.

1. Select at least three variables that you believe have a linear relationship.

a. Specify how you will measure each of these variables (i.e., what instrument will you use and provide an APA reference for the instrument)

2. Collect the data for these variables and describe the data collection technique and why it was appropriate as well as why the sample size was best.

a. Submit the data collected by submitting the SPSS data file with your submission.

3. Find the Correlation coefficient for each of the possible pairings of variables and describe the relationship in terms of strength and direction.

4. Find a linear model of the relationship between the three (or more) variables of interest. Identify the predictor variables and the criterion variable.

5. Provide an output of the SPSS results and interpret the results using correct APA style.

This benchmark assignment assesses the following programmatic competencies: 3.1: Interpret psychological phenomena using scientific reasoning

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