Week 4, Discussion 2 PDF

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Discussion 2 (of 2) for Week 4 (of 4)...

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Week 4, Discussion 2: Regression - What is the predicted optimism score? Reexamine the women's optimism score data we used in Week 2 Discussion 1. Using this data set, perform a correlation analysis using age as a predictor of the Optimism Score of all subjects. The data contained was collected from 1,000 women in the area around downtown Philadelphia. 1. Plot the data with a regression line and perform a regression with the appropriate statistical test in StatCrunch. Copy and paste your graph and regression output into your Word for posting. a. See below 2. What is the correlation coefficient r and what is the coefficient of determination here? What does the coefficient of determination mean in this case? a. R (correlation coefficient) = -0.157605 b. Coefficient of determination (r2 )= 0.024839337, which means that 2.5% of the variation we see in Optimism Scores can be explained by age. It can also be phrased as, “For women surveyed in the downtown area of Philadelphia, 2.5% of the Optimism Scores is explained by the age.” 3. Is there a statistically significant correlation between age and optimism in this sample? a. Yes. We know this because the P-value is less than 0.05 (our P-value is...