COURSE: HOMEWORK: EDRS701 – EDUCATIONAL STATISTICS 1 ALL CALCULATIONS SHOULD BE PERFORMED USING SPSS You have reviewed the student log sheets for 20 students in College Algebra attending the mathematics lab and noticed the following: X Time Spent in Lab by student (minutes per week) 0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 Y Math Score on first Test for student attending X minutes per week 52 42 40 55 62 64 70 70 72 74 79 84 76 85 80 92 89 92 98 95 1. Looking at the data (not calculating anything yet!), would you expect a positive or negative correlation between X and Y? Why? 2. What is the mean score on the first test of all 20 students? 3. Produce a scatterplot of the data. 4. What is the Pearson correlation coefficient of the original X and Y data? 5. What type of correlation is there between time spent in lab and score on the first test? 6. Are you prepared to make any causality statements? Why or why not? 7. What statement are you willing to make about the number of minutes spent in the math lab? 8. Provide the regression equation for the data. 9. What is the predicted score on the first math test if you spend 62 minutes per week in the math lab? 10. What is the predicted score on the first math test if you spend 28 minutes per week in the math lab?