A collection of statistical methods for estimating relationships between a dependent variable and one or more independent variables are known as regression analysis (Skill Builder 17, Walden University). It can be used to determine the strength of a relationship between variables and to predict how they will interact in the future.
Variables
Afrobarometer data was utilized to complete this assignment. The mean age from the information given was 37.19 0.65 years. Two independent variables (age and gender) and one dependent variable (current level of democracy) were chosen. A regression analysis was done to establish the relationship between the independent and dependent variables.
An ordinal scale was used to measure the independent variable (age) while an interval ratio scale was used to measure the dependent variable (current level of democracy).
The research question for this research was; what is the influence of age, gender on their countrys current level of democracy? A study hypothesis was formulated from this research question as follows;
H1: there is a significant relationship between the respondents perception of their countrys current level of democracy and their age and gender.
H0: there is no significant relationship between the respondents perception of their countrys current level of democracy and their age and gender.
Findings
The R-value shows the multiple regression coefficients of the
model. The value, 0.011, measures the quality of the model prediction about respondents’ perception of the dependent variable (current level of democracy). The value shows a low or poor level of prediction. About Bruce and Peter (2017) on a scatterplot, the correlation coefficient r represents the intensity and direction of a linear relationship between two variables. The coefficient of (R2 = 0.000) shows the proportion of variance in the level of democracy for which the research can find explanations from age and gender.
The ANOVA table above indicates whether the regression model is fit for data results. The findings show that age and gender (independent variables) significantly predict the outcome of perception of the level of democracy (p < 0.05 = 0.000).
The respondents age, as indicated by (t=1.050, p<0.005=.002) were significant while gender was insignificant at (t= -.331, p>0.005=0.741).
This shows that the explanatory variables gender is no more useful in the model when the remaining variables are already included in the model.
The general model
Level of democracy = 9.108-0.02(Gender) + 0.002(age)
The the null hypothesis is rejected in favor of the alternative hypothesis based on the results of the model’s ANOVA table, as there is a statistically significant association between the respondents’ views on their country’s current level of democracy and their age and gender.
References
Bruce, Peter, and Andrew Bruce. 2017. Practical Statistics for Data Scientists. OReilly Media.
Laureate Education (Producer). (2016). Multiple regression: A demonstration [Video file]. Baltimore, MD: Author.
Frankfort-Nachmias, C., Leon-Guerrero, A., & Davis, G. (2020). Social statistics for a diverse society (9th ed.). Thousand Oaks, CA: Sage Publications.
Wagner, W. E. (2016). Using IBM SPSS statistics for research methods and social science statistics (6th ed.). Thousand Oaks, CA: Sage Publications.
