Regression Analysis
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Using Data set "G," choose the dependent variable (the response variable to be "explained") and the independent variable (the predictor or explanatory variable) as you judge appropriate. Use a spreadsheet or a statistical package (e.g., MegaStat or MINITAB) to obtain the bivariate regression and required graphs. Write your answers to exercises 12.28 through 12.43 (or those assigned) in a concise report, labeling your answers to each question. Insert tables and graphs in your report as appropriate.
12.28 Are the variables cross-sectional data or time-series data?
12.31 State your a priori hypothesis about the sign of the slope. Is it reasonable to suppose a cause and effect relationship?
12.35 Use Excel, MegaStat, or MINITAB to fit the regression model, including residuals and standardized residuals.
12.36 (a) Does the 95 percent confidence interval for the slope include zero? If so, what does it mean? If not, what does it mean? (b) Do a two-tailed t test for zero slope at α = .05. State the hypotheses, degrees of freedom, and critical value for your test. (c) Interpret the p-value for the slope. (d) Which approach do you prefer, the t test or the p-value? Why? (e) Did the sample support your hypothesis about the sign of the slope?
12.37 (a) Based on the R2 and ANOVA table for your model, how would you assess the fit? (b) Interpret the p-value for the F statistic. (c) Would you say that your model's fit is good enough to be of practical value?
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Solution Summary
The solution provides step by step method for the calculation of regression analysis. Formula for the calculation and Interpretations of the results are also included.
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