MSCA 31000: Introduction to Statistical Concepts Assignment 1
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MSCA 31000: Introduction to Statistical Concepts
Assignment 1
SAT and College GPA – data is in chapter 20, #11 at the bottom of the page
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Exercises: |
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1. What are the descriptive statistics that can be applied to this data and what are the inferential statistics? 2. What are the dependent and independent variables? 3. Draw a scatterplot comparing the students' high school GPAs to their overall university GPAs. What does the relationship appear to be? (4.1) 4. What is the correlation between high school GPA and overall university GPA? (4.5) 5. What is the mean math and verbal SAT score in this sample? (3.2) 6. What are the standard deviations of the math and verbal SAT scores? (3.10) 7. What would you expect the correlation between math and verbal SAT scores to be? Now calculate this correlation. (4.2, 4.5) 8. What is the correlation between the students' overall university GPAs and their computer science GPAs? (4.5) 9. Did the students have higher overall GPAs or higher GPAs in their computer science classes? 1. Calculate each of these means. (3.2)
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Stereograms - data is in chapter 20, #12 at the bottom of the page Exercises: |
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1. What is the independent variable? What is the dependent variable? (1.6) 2. Create box plots comparing the time it takes to fuse the image for the NV group to the time it takes for the VV group. (2.7) 3. Draw histograms of the fusion time for each group. (2.5) 4. What do you notice about the distributions? Do they appear to be positively or negatively skewed? (1.11) 5. Compute the mean, variance, and standard deviation of the time for each group. Do the variances appear to be equal? (3.6, 3.10) 6. Take the log transformation of the fusion time. Then draw box plots for each group. (2.7) How did the log transformation affect the distributions? (1.11) |
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Angry Moods - data is in chapter 20, #1 at the bottom of the page Exercises: |
1. Which variables are the participant variables? (They act as independent variables in this study.) (1.7)
2. What are the dependent variables? (1.7)
3. Is Anger-Out a quantitative or qualitative variable? (1.7)
4. Is there a difference in how much males and females use aggressive behavior to improve an angry mood? For the "Anger-Out" scores:
5. Create parallel box plots for the Anger-In scores by sports participation.
6. Plot a histogram of the distribution of the Control-Out scores.
7. Create a bar graph comparing the mean Control-In score for the athletes and the non-athletes. What would be a better way to display this data?
8. Plot parallel box plots of the Anger Expression Index by sports participation. Does it look like there are any outliers? Which group reported expressing more anger?
9. Does Anger-Out have a positive skew, a negative skew, or no skew?
10. What is the range of the Anger-In scores? What is the interquartile range?
11. a. What is the overall mean Control-Out score?
a. b. What is the mean Control-Out score for the athletes?
b. What is the mean Control-Out score for the non-athletes?
12. a. What is the variance of the Control-In scores for the athletes?
c. What is the variance of the Control-In scores for the non-athletes?
13. What is the correlation between the Control-In and Control-Out scores?
14. Would you expect the correlation between the Anger-Out and Control-Out scores to be positive or negative? Compute this correlation.
2022-09-01