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Including multiple choice answers to help answer each question on worksheet.

6-2 CAUTIONS IN REGRESSION: CURVED RELATIONSHIPS AND MULTIPLE VARIABLES PRE-ACTIVITY 1. The correlation between x and y in all of the data sets pictured is 0.816, and they all have the same regression line. (Anscombe, Francis J. (1973) Graphs in statistical analysis. American Statistician, 27, 17-21.) 10 8 8 + 4 6 8 10 12 14 16 18 6 8 10 12 14 16 18 12 10 00 X 8- we.. . . + 4 6 8 10 12 14 16 18 6 8 10 12 14 16 18 X3 a. Circle the graph showing data for which the regression line is valid to use for prediction. b. The correlation between x, and y, is r = . The correlation between x, and y2 is r = c. In the scatterplot showing y, VS. X,, the type of equation that should be used to model the data is d. In the scatterplot showing y, vs. x,, identify the influential point. Draw a line in that graph that depicts where the regression line would be without that point. What should the researcher do before proceeding with further analysis using this data? Learning Through Practice: Statistical Reasoning 2276-2 Cautions in Regression: Curved Relationships and Multiple Variables: Pre-Activity e. In the scatterplot showing y, vs. x, identify the influential point. Should least squares regression analysis be used for this data? Explain. f. Does a high r-value mean that the relationship must be linear? Explain. NOTES 228 Learning Through Practice: Statistical Reasoning