Question: I need help solving this problem. A researcher is interested in whether age, years of experience, or confidence predicts certification exam scores. Using the t,
I need help solving this problem. A researcher is interested in whether age, years of experience, or confidence predicts certification exam scores. Using the t, respond in paragraph format and APA guidleines to the following items from the tables below. Thank you.
1) Identify the recommended statistical test and provide justification.
2) Determine the best predictor of exam scores and justify with statistics.
3) Identify other variables (age, years of experience, or confidence) that improve prediction accuracy. Back up with statistics.
4) Identify variables (age, years of experience, or confidence) that do not predict exam performance. Back up your answer.
5) the best model in APA guidelines.
6) Using the coefficients table, write the regression equation and explain its meaning.
7) Suggest a figure that you would want to see to help interpret the data.
| Descriptive Statistics | |||
|---|---|---|---|
| Mean | Std. Deviation | N | |
| Certification Exam | 69.65 | 10.667 | 60 |
| Age | 37.38 | 8.988 | 60 |
| Years of Experience | 5.87 | 4.436 | 60 |
| Confidence | 21.43 | 5.518 | 60 |
| Correlations | |||||
|---|---|---|---|---|---|
| Certification Exam | Age | Years of Experience | Confidence | ||
| Pearson Correlation | Certification Exam | 1.000 | .610 | .444 | .596 |
| Age | .610 | 1.000 | .639 | .426 | |
| Years of Experience | .444 | .639 | 1.000 | .448 | |
| Confidence | .596 | .426 | .448 | 1.000 | |
| Sig. (1-tailed) | Certification Exam | . | .000 | .000 | .000 |
| Age | .000 | . | .000 | .000 | |
| Years of Experience | .000 | .000 | . | .000 | |
| Confidence | .000 | .000 | .000 | . | |
| N | Certification Exam | 60 | 60 | 60 | 60 |
| Age | 60 | 60 | 60 | 60 | |
| Years of Experience | 60 | 60 | 60 | 60 | |
| Confidence | 60 | 60 | 60 | 60 |
| Variables Entered/Removeda | |||
|---|---|---|---|
| Model | Variables Entered | Variables Removed | Method |
| 1 | Age | . | Stepwise (Criteria: Probability-of-F-to-enter = .100). |
| 2 | Confidence | . | Stepwise (Criteria: Probability-of-F-to-enter = .100). |
| a. Dependent Variable: Certification Exam |
| Model Summaryc | ||||
|---|---|---|---|---|
| Model | R | R Square | Adjusted R Square | Std. Error of the Estimate |
| 1 | .610a | .372 | .361 | 8.525 |
| 2 | .714b | .510 | .493 | 7.595 |
| a. Predictors: (Constant), Age | ||||
| b. Predictors: (Constant), Age, Confidence | ||||
| c. Dependent Variable: Certification Exam |
| ANOVAc | ||||||
|---|---|---|---|---|---|---|
| Model | Sum of Squares | Df | Mean Square | F | Sig. | |
| 1 | Regression | 2498.802 | 1 | 2498.802 | 34.386 | .000a |
| Residual | 4214.848 | 58 | 72.670 | |||
| Total | 6713.650 | 59 | ||||
| 2 | Regression | 3426.044 | 2 | 1713.022 | 29.700 | .000b |
| Residual | 3287.606 | 57 | 57.677 | |||
| Total | 6713.650 | 59 | ||||
| a. Predictors: (Constant), Age | ||||||
| b. Predictors: (Constant), Age, Confidence | ||||||
| c. Dependent Variable: Certification Exam |
| Coefficientsa | ||||||
|---|---|---|---|---|---|---|
| Model | Unstandardized Coefficients | Standardized Coefficients | ||||
| B | Std. Error | Beta | t | Sig. | ||
| 1 | (Constant) | 42.582 | 4.745 | 8.973 | .000 | |
| Age | .724 | .123 | .610 | 5.864 | .000 | |
| 2 | (Constant) | 33.324 | 4.817 | 6.918 | .000 | |
| Age | .517 | .122 | .435 | 4.248 | .000 | |
| Confidence | .794 | .198 | .411 | 4.010 | .000 | |
| a. Dependent Variable: Certification Exam |
| Excluded Variablesc | ||||||
|---|---|---|---|---|---|---|
| Model | Collinearity Statistics | |||||
| Beta In | t | Sig. | Partial Correlation | Tolerance | ||
| 1 | Years of Experience | .092a | .677 | .501 | .089 | .592 |
| Confidence | .411a | 4.010 | .000 | .469 | .819 | |
| 2 | Years of Experience | -.032b | -.254 | .800 | -.034 | .554 |
| a. Predictors in the Model: (Constant), Age | ||||||
| b. Predictors in the Model: (Constant), Age, Confidence | ||||||
c. Dependent Variable: Certification Exam | ||||||
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