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A researcher is studying the relationship between age, income, and years of education. She collects data on these variables from twenty different individuals. She first
A researcher is studying the relationship between age, income, and years of education. She collects data on these variables from twenty different individuals. She first decides to make scatterplots of the relationship between age and educational level with income. These two scatterplots are shown below: 1. In basic terms, describe what the researcher is studying if she decides to look at correlation between these variables. 2. What is one caution that she needs to keep in mind when studying correlation? 3. In general, what do these scatterplots tell us about the relationship between age and education with personal income in terms of: a. Direction of relationship? b. Which relationship appears stronger? The chart below shows correlation stats for our variables of interest Correlations age age income .495* .697** .026 .001 20 20 20 Pearson Correlation .495* 1 .760** Sig. (2-tailed) .026 Pearson Correlation 1 Sig. (2-tailed) N income N education education Pearson Correlation Sig. (2-tailed) N .000 20 20 20 .697** .760** 1 .001 .000 20 20 20 *. Correlation is significant at the 0.05 level (2-tailed). **. Correlation is significant at the 0.01 level (2-tailed). 4. Based on the table above, which of the two variables has the strongest correlation, based on r ? 5. Looking at the correlation between age and income, how would you characterize the correlation between these variables in terms of: Direction: Strength
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