chapter 14 assignment B

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Feb 20, 2024

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Abigail Cates Chapter 14 Homework To complete these exercises, load your ADVENTURES.SAV data file. Produce a correlation matrix for the variables MAEDUC, PAEDUC, and EDUC. 1. Which two variables have the strongest correlation with each other? MAEDUC and PAEDUC 2. Pearson’s r for MAEDUC and EDUC is: 0.395 3. Fill in the blank: AS PAEDUC increases, EDUC __increases______(increases/decreases). 4. Is the correlation between PAEDUC and EDUC weak or strong? How do you know? The correlation between PAEDUC and EDUC is strong because it has a Pearson’s r of 0.413. 5. Produce a scatterplot with a fit line for the variables MAEDUC (independent) and EDUC (dependent). Copy and paste your scatterplot here: 6. Run a regression for MAEDUC and EDUC. What is the regression equation for MAEDUC (independent) and EDUC (dependent)? Y = _10.080_______ + __0.307______ × X 7. What is R 2 for MAEDUC and EDUC? 0.156 8. How do you interpret that number? What does it mean? Squaring the r (.395 = .156) yields the coefficient of determination and tells us that 16% of the variance in education completed can be accounted for by how much education a persons mother completed. Do an analysis of EDUC and TVHOURS using correlation, regression, and a scatterplot in order to answer the following questions:

9. Which of the two variables is the independent variable? TVHOURS 10. What is Pearson’s R for these two variables? -.178 11. Are they weakly, moderately, or strongly associated? Moderately 12. Fill in the blank: AS EDUC increases, TVHOURS _decreases_______(increases/decreases). 13. Produce a scatterplot with a fit line for the two variables. Copy and paste your scatterplot here: 14. What is the regression equation for these two variables? EDUC= 14.280 - .187 (TVHOURS) 15. What percentage of the variation in TVHOURS can be explained by the variation in EDUC? 3% of the variation in TVHOURS can be explained by the variation in EDUC.

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