Week 11 project
Running Head: MULTIPLE REGRESSION 1
MULTIPLE REGRESSION
MULTIPLE REGRESSION
Jamiah Riddick
Walden University RSCH - 8260F; Advanced Quantitative
Dr. Marker
June 21st, 2021
Overview
We'll use a computer to run a series of multiple regression studies to look at the proposed theoretical model with predictor variables and multiple independent variables. Lower-income families with guns in the home are dependent factors, while citizens, races, and age are independent variables.
Research question
Based on race, age, and citizenship, how likely are lower-class households to have a gun in their home?
Literature Review
Three out of every ten adults in the United States stated they now possessed a gun, while another 11% stated they did not claim to own a gun but lived with someone who did. (K. Parker et al., 2020). About half of respondents who do not presently own a gun indicated they plan to purchase one in the future (Parker, K., et al. 2020). Men are more likely than women to own weapons, and white men are particularly likely to own registered guns (Parker, K., et al. 2020). 46 percent of persons living in low-income housing indicated they possessed firearms, 28 percent claimed they were middle-class, and 19 percent said they were upper-class (Levine, P, 2020).
White men are particularly vulnerable to being gun owners: nearly half (48%) own a gun, compared to a quarter of white women and non-white men (24%) and 16 percent of non-white women (K. Parker et al., 2020). Despite the lack of a report, I believe that more than half of young blacks in lower-class families own guns due to security concerns. Because most of these guns are unregistered, this may or may not be consistent with the evidence. The most significant increase in gun sales occurred among blacks, who raised their purchases by 58.2 percent in the first half of 2020. (Carlson, 213).
Data
Data was gathered from the General Social Survey Dataset, which serves a range of multiple variables set to examine several ways and contains several characteristics of homes as well as social.
Model Specification
Lower class income
Guns
Age, Citizen, Races
The model represents and displays a process in which lower-income families' attitudes on firearms change over time. Guns determine or have an impact on people's ages, citizenship, and race. Furthermore, age, citizenship, and color are all influenced by lower-class income. In the graph above, the Guns variables serve as mediators.
Results and Discussion
We need to get the correlation coefficients of these three relationships to see if these three conditions are met. In Appendix 01, the Pearson Product-Moment correlation coefficient will be calculated, and the two-tailed significance test will be presented. Each path's correlation coefficient, or the link between variables, is statistically significant. Lower-income people report a very strong association between their factors and other variables. These findings show that, at the bivariate level, all of the necessary conditions for the test mediator's likely role have been met.
The original regression coefficient and standard error of this regression coefficient for the association between the IV and the intermediary and the association between the intermediary and the DV were then calculated using two simple linear regressions (adjusted for IV). Appendices 02 and 03 can be used to obtain the regression coefficient and standard error of the correlation between IV and the intermediate. Gun is the dependent variable in the first regression model, with all other factors acting as independent variables.
The findings reveal that the age coefficient has a negative impact on firearms. The number of guns drops as people get older, although this does not affect the model. Citizenship has a beneficial effect on guns but does not affect the model. Furthermore, Races has a beneficial effect on Guns, with a minimal effect on the model. Furthermore, the value of the constant in the second model has a substantial impact on the model. Furthermore, the value of weapons has a detrimental influence on low-income people, because those with higher wealth will buy fewer firearms for security reasons, and the number of persons buying weapons for security purposes will decrease by 1%. Citizen and Guns are unaffected by any of the other variables in this model.
The key purpose is to use these two regressions to assess the analysis's intermediate impacts. We use the Sobel test to accomplish this (see Appendix 05). The Sobel test statistics are 0.34, 0.54, and 0.46, with related p-values, indicating IV and DV (in this example, guns, and age) and associated p-values, that is, the observed p-value is not lower than the specified alpha 0.05 level, suggesting IV and DV (in this case, guns and age). Because of intermediates (weapons), the relationship between citizens and ethnicity in low-income homes is not included in the model; in other words, there is no evidence of mediation.
References
Carlson, J. (2013). Clinging to their guns? The new politics of gun carry in everyday life (Doctoral dissertation, UC Berkeley).
Parker, Kim, et al. 2020. The Demographics of Gun Ownership in the U.S. Pew Research Center's Social & Demographic Trends Project, Pew Research Center, 30 May, www.pewresearch.org/social-trends/2017/06/22/the-demographics-of-gun-ownership/.
Stadtmauer, E. A., Fraietta, J. A., Davis, M. M., Cohen, A. D., Weber, K. L., Lancaster, E., ... & June, C. H. (2020). CRISPR-engineered T cells in patients with refractory cancer. Science, 367(6481).
Web Links
http://quantpsy.org/sobel/sobel.htm
Appendix
Appendix 01
|
Descriptive Statistics |
|||
|
|
Mean |
Std. Deviation |
N |
|
AGE OF RESPONDENT |
48.27 |
17.145 |
505 |
|
FAMILY INCOME IN CONSTANT DOLLARS |
62354.62 |
52512.386 |
457 |
|
ARE YOU A CITIZEN OF AMERICA? |
1.10 |
.304 |
254 |
|
RACE OF RESPONDENT |
1.50 |
.766 |
507 |
|
HAVE GUN IN HOME |
1.89 |
.381 |
344 |
Appendix 02
|
Correlations |
||||||
|
|
AGE OF RESPONDENT |
FAMILY INCOME IN CONSTANT DOLLARS |
ARE YOU A CITIZEN OF AMERICA? |
RACE OF RESPONDENT |
HAVE GUN IN HOME |
|
|
AGE OF RESPONDENT |
Pearson Correlation |
1 |
.104* |
-.145* |
-.246** |
-.061 |
|
|
Sig. (2-tailed) |
|
.027 |
.021 |
.000 |
.257 |
|
|
N |
505 |
456 |
253 |
505 |
342 |
|
FAMILY INCOME IN CONSTANT DOLLARS |
Pearson Correlation |
.104* |
1 |
-.200** |
-.147** |
-.307** |
|
|
Sig. (2-tailed) |
.027 |
|
.002 |
.002 |
.000 |
|
|
N |
456 |
457 |
228 |
457 |
312 |
|
ARE YOU A CITIZEN OF AMERICA? |
Pearson Correlation |
-.145* |
-.200** |
1 |
.224** |
.065 |
|
|
Sig. (2-tailed) |
.021 |
.002 |
|
.000 |
.399 |
|
|
N |
253 |
228 |
254 |
254 |
170 |
|
RACE OF RESPONDENT |
Pearson Correlation |
-.246** |
-.147** |
.224** |
1 |
.154** |
|
|
Sig. (2-tailed) |
.000 |
.002 |
.000 |
|
.004 |
|
|
N |
505 |
457 |
254 |
507 |
344 |
|
HAVE GUN IN HOME |
Pearson Correlation |
-.061 |
-.307** |
.065 |
.154** |
1 |
|
|
Sig. (2-tailed) |
.257 |
.000 |
.399 |
.004 |
|
|
|
N |
342 |
312 |
170 |
344 |
344 |
|
*. Correlation is significant at the 0.05 level (2-tailed). |
||||||
|
**. Correlation is significant at the 0.01 level (2-tailed). |
Appendix 03
Simple Linear Regression Model 1
|
Coefficients |
||||||
|
Model |
Unstandardized Coefficients |
Standardized Coefficients |
t |
Sig. |
||
|
|
B |
Std. Error |
Beta |
|
|
|
|
1 |
(Constant) |
1.889 |
.132 |
|
14.302 |
.000 |
|
|
AGE OF RESPONDENT |
-.001 |
.001 |
-.060 |
-.748 |
.455 |
|
|
ARE YOU A CITIZEN OF AMERICA? |
.054 |
.086 |
.050 |
.636 |
.526 |
|
|
RACE OF RESPONDENT |
.025 |
.033 |
.061 |
.761 |
.448 |
|
a. Dependent Variable: HAVE GUN IN HOME |
Appendix 04
Simple Linear regression Model 2
|
Coefficientsa |
||||||
|
Model |
Unstandardized Coefficients |
Standardized Coefficients |
t |
Sig. |
||
|
|
B |
Std. Error |
Beta |
|
|
|
|
1 |
(Constant) |
169736.508 |
33963.063 |
|
4.998 |
.000 |
|
|
AGE OF RESPONDENT |
142.900 |
250.055 |
.046 |
.571 |
.569 |
|
|
ARE YOU A CITIZEN OF AMERICA? |
-30686.398 |
15438.142 |
-.156 |
-1.988 |
.049 |
|
|
RACE OF RESPONDENT |
-1576.148 |
5614.884 |
-.023 |
-.281 |
.779 |
|
|
HAVE GUN IN HOME |
-41158.648 |
13263.404 |
-.245 |
-3.103 |
.002 |
|
a. Dependent Variable: FAMILY INCOME IN CONSTANT DOLLARS |
Appendix 05
Sobel Test (For Age and Having Gun)
Sobel Test (For Citizen and Having Gun)
Sobel Test (For Races and Having Gun)