Construct a research question using the General Social Survey dataset, which can
ID: 2931515 • Letter: C
Question
Construct a research question using the General Social Survey dataset, which can be answered by a Pearson correlation and bivariate regression.
Use SPSS to answer the research question. Post your response to the following:
What is your research question?
What is the null hypothesis for your question?
What research design would align with this question?
If you found significance, what is the strength of the effect?
I used data from the High School Longitudinal Survey to conduct the tests, whose results are below.
Table 8.0
Correlations
Years math teacher has taught high school math
T2 Scale of student's mathematics self-efficacy
Years math teacher has taught high school math
Pearson Correlation
1
.028**
Sig. (2-tailed)
.001
N
17020
14482
T2 Scale of student's mathematics self-efficacy
Pearson Correlation
.028**
1
Sig. (2-tailed)
.001
N
14482
19771
**. Correlation is significant at the 0.01 level (2-tailed).
Table 8.1
Variables Entered/Removeda
Model
Variables Entered
Variables Removed
Method
1
T2 Scale of student's mathematics self-efficacyb
.
Enter
a. Dependent Variable: Years math teacher has taught high school math
b. All requested variables entered.
Table 8.2
Model Summary
Model
R
R Square
Adjusted R Square
Std. Error of the Estimate
1
.028a
.001
.001
8.519
a. Predictors: (Constant), T2 Scale of student's mathematics self-efficacy
Table 8.3
ANOVAa
Model
Sum of Squares
df
Mean Square
F
Sig.
1
Regression
806.152
1
806.152
11.107
.001b
Residual
1050975.028
14480
72.581
Total
1051781.180
14481
a. Dependent Variable: Years math teacher has taught high school math
b. Predictors: (Constant), T2 Scale of student's mathematics self-efficacy
Table 8.4
Coefficientsa
Model
Unstandardized Coefficients
Standardized Coefficients
t
Sig.
B
Std. Error
Beta
1
(Constant)
10.266
.071
144.872
.000
T2 Scale of student's mathematics self-efficacy
.234
.070
.028
3.333
.001
a. Dependent Variable: Years math teacher has taught high school math
Correlations
Years math teacher has taught high school math
T2 Scale of student's mathematics self-efficacy
Years math teacher has taught high school math
Pearson Correlation
1
.028**
Sig. (2-tailed)
.001
N
17020
14482
T2 Scale of student's mathematics self-efficacy
Pearson Correlation
.028**
1
Sig. (2-tailed)
.001
N
14482
19771
**. Correlation is significant at the 0.01 level (2-tailed).
Explanation / Answer
What is your research question?
The research question is given as below:
Is there any statistically significant linear relationship exists between the dependent variable or response variable years math teacher has taught high school math and independent variable or explanatory variable T2 scale of student’s mathematics self-efficacy?
What is the null hypothesis for your question?
The null hypothesis for the test is given as below:
Null hypothesis: H0: There is no any statistically significant linear relationship exists between the dependent variable or response variable years math teacher has taught high school math and independent variable or explanatory variable T2 scale of student’s mathematics self-efficacy.
Alternative hypothesis: Ha: There is a statistically significant linear relationship exists between the dependent variable or response variable years math teacher has taught high school math and independent variable or explanatory variable T2 scale of student’s mathematics self-efficacy.
H0: = 0 Vs Ha: 0
What research design would align with this question?
We would align the correlational and regression analysis for the given scenario.
If you found significance, what is the strength of the effect
For the given scenario, the correlation coefficient found to be statistically significant at the 1% level of significance. There would be high strength of the effect or response variable.