Question
11. Interpret the results of the following regression table for the category of college-educated: Y = quality of life scale, with higher values indicating a
11. Interpret the results of the following regression table for the category of college-educated: Y = quality of life scale, with higher values indicating a better quality of life that ranges from 0 to 100, X = education dummy variable where 0=less than a college education and 1=college educated (4 pts)
= 67.4 + 11.3X
12. Using the correlation matrix below, is there a correlation between adjustment to single life for recently divorced men (adjustment, Y) and the number of years they were married (X) controlling for income (Z)? (6 pts) Adjustment (Y) Years Married (X) Income (Z) Adjustment (Y) 1.00 -0.62 0.62 Years Married (X) 1.00 -0.49 Income (Z) 1.00
13. A researcher speculates that individuals who experience many disappointments in their lives, such as serious illness, troubled relationships, difficulty paying bills, and deaths of friends and relatives, would be more religious than others. The theory is that religiosity is a coping mechanism. The data for the number of disappointments in life and a religiosity scale score is in the spreadsheet below. (26 pts overall) a) Decide which variable is independent and which is dependent and draw the scatterplot. b) Calculate the regression line statistics and plot the line. (Insert sums in the space below.) c) Calculate the Pearson's r correlation coefficient. d) Using the 5 steps of hypothesis testing, address the hypothesis that a higher written test score is related to a higher driving test score. Disappoint-ments Religiosity Score X - X Y - Y (X - X ) (Y - Y ) (X - X )2 (Y - Y )2 4 16 7 20 5 17 6 15 5 19 8 24 4 12 n = 7
a. IV = _____________________________ DV =_______________________________ Scatterplot
b. Regression line statistics:
slope =
Y-intercept =
Plotting the line=
X
c. Pearson's r correlation coefficient r =
d. Hypothesis test 5-steps
Part 3: SPSS Interpretation Questions (worth 13 points total) 14. The following correlation and regression output is addressing the hypothesis that LGBT people who are out to more people (measured by the "outness scale") experience fewer symptoms of depression. (Worth 12 points) a. What is the Pearson's r correlation coefficient?
b. What does this correlation coefficient tell us about the relationship between outness and depression?
c. What is the regression equation for this relationship?
d. Assuming an alpha of .05, what would your rejection decision be for this relationship and why?
15. The following SPSS output takes the same two variables as above (depression scale and outness), but I have added a number of other independent variables into a multiple regression analysis. Answer the following questions based on the output: (10 pts) a. What is the advantage of a multiple regression approach to this analysis?
b. What has happened to the relationship between outness and depression?
c. Which of the independent variables is the strongest predictor of depression?
d. How much of the variation in depression scores have we explained in this analysis?
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