Simple Linear Regression
- Short Essay For each of these questions, your audience are persons that are not experts in statistics. Write with complete sentences and paragraphs. Cite any references that you use.
- Imagine you fit a regression model to a dataset and find that R-squared = 0.69. Is this a good regression model or not? If you cannot tell, what additional information do you need? Explain.
- Research and then explain the “regression fallacy”. Provide at least one example.
- QUASAR — A quasar is a distant celestial object (at least four billion light-years away) that provides a powerful source of radio energy. The Astronomical Journal (July 1995) reported on a study of 90 quasars detected by a deep space survey. The survey enabled astronomers to measure
several different quantitative characteristics of each quasar, including:
X1 – Redshift
X2 – Line Flux
X3 – Line Luminosity
X4 – AB1450 Magnitude
X5 – Absolute Magnitude
Y1 – Rest frame Equivalent Width- (10 pts.) Use R to perform a regression analysis on the QUASAR dataset (found on the D2L). For each of the explanatory variables create a regression model and copy/paste it into your submission.
- (10 pts.) Evaluate your models. For each discuss how well they predict the dependent variable. Your description should begin by reporting basic facts about your model; but should also include an analysis of the findings.
- (10 pts.) Of the models you built, what is the “best” model? Explain. Assume your audience is a fellow DSC423 student.
