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201 Bivariate Regression and Correlation 6 PROBLEMS General Problems 1. For the following data on 10 persons, construct a sca I need questions 1-3 & 6-10 answered with shown calculated work.
4. Fill in the missing values in the table below: 16.200 4,050 32.39 b. 72.60 471.30 c. 1,427 d. 411.6 59.78 5. A sociologist
203 Bivariate Regression and Correlation 6 Find B* for the following: 10. 0.25 5.65 78 4.70 a. 3.00 b.-6.39 c. 0.48 7.69
201 Bivariate Regression and Correlation 6 PROBLEMS General Problems 1. For the following data on 10 persons, construct a scatterplot showing the relationship between age and number of children. and describe the relationship in verbal terms Number o Children (Y) Age Person (i) 42 26 38 23 21 19 79 25 75 67 9 10 2. Using data from 60 adults, a community sociologist wants to estimate an equation for the linear relationship between number of friends in the community tX) and community involvement (Y He has the following statistics: X8. 16. Y -19.s25 36. Estimate the unstandardized regression equation, Give a substantive interpretation of the sociologist's findings. A ) 3. The 1998 General Social Survey asked respondents to rate their political views on a scale from I 'extremely liberal") to 7 "extremely conservative"). Regressing political views on age generates the following prediction equation: ,-3.68+0.009x, Using this equation, a. How conservative would you expect an 80-year-old to be? b. How conservative would you expect a 20-year-old to be?
4. Fill in the missing values in the table below: 16.200 4,050 32.39 b. 72.60 471.30 c. 1,427 d. 411.6 59.78 5. A sociologist studying work and organizations hypothesizes that part of the variance in employees' work satisfaction can he attributed to its linear regression on variety of work responsibilities. Data from 42 employees produced SSERROR .500 and s-175 for the dependent variable. Compute R for this bivariate equation and test whether this value is statistically different from zero at a01. Display your findings in an ANOVA-type format and state your decision. 6. If byx 1.1. sx 08, and sy 0.9, what do rxy and Rix equal? 7. Suppose a social psychologist collects the following data from five subjects: their scores on a test measuring the extent to which they trust other people and the number of altruistic acts they performed in the last month. Creale a bivariate regression equation for these variables. treating altruistic acts as the dependent variable. Subject Trust 70 85 Altruistic Acts 12 64 79 For the data in question 7, calculate the correlation coefficient, the coefficient of determination, and the coefficient of nondetermination. What can you conclude? 8. 9. If N-31, byx L.4. and s,60. test the null hypothesis that b-0 in the population, using a one-tailed test with a 05
203 Bivariate Regression and Correlation 6 Find B* for the following: 10. 0.25 5.65 78 4.70 a. 3.00 b.-6.39 c. 0.48 7.69
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