Simple Regression Data Analysis and Report

The overall objective of this assignment is to use simple regression modeling and meta-analysis to find six good stand-alone predictors of SWB. The assignment details are as follows.

1. For each of your six OECD or WHR predictors, develop five single-year simple re- gression models on OECD or WHR data, selecting either the OECD variable “Life Satisfaction” or WHR variable “Life Ladder” as the dependent variable. That is, you could develop simple regressions on WHR data for each of the predictors of “Life Lad- der” for each year of data that you consider. We are using data from five separate years in order to obtain five models for each predictor for meta analysis.

2. Document your regression results in a table showing the model coefficient (b1), R2, p-value, and confidence interval of the slope.

3. Perform a meta analysis (using the “Single r” tab in the Excel-based ESCI Meta Analysis tool – available as a free download) of each predictor using the five year mod- els. Include the “synthesis forest plot, synthesized confidence interval, and associated p-value in your report for each predictor you study.

4. Use your results to select six predictors that you think are the “best,” and moti- vate your choices. Discuss the requirements for regression (linearity, normality, ho- moskedasticity, and independence) for each and include scatterplots for each of the six predictors you select.

The assignment case is attached, as well as the OECD better life data. In order to successfully complete this assignment, you must:

• You are free to use any software to do the analysis, although it is strongly recommended you use Minitab 18 (on a Windows machine) or Minitab Express (on a Mac).
• Develop and defend at least one thesis. Clearly articulate your thesis and its primary support in the executive summary.
• Submit reports in Word format. Also submit your spreadsheet and/or Minitab files.
• Bring all practical considerations to bear. Develop reasonable assumptions and estimates where necessary.
• Write your cases in English prose (paragraphs and sentences). Create and appropriately label and reference tables for data and figures for charts.
  • Write a maximum of 5 pages (everything included).
    • Pick your battles wisely.
    • No cover pages.
    • Includes the following sections:
      • Introduction
      • Variables
      • Meta-Analysis
      • Regression Models and Discussion
      • Conclusion
    • Formatting Guidelines: 1-inch margins, single-spaced, 12 point font.