- 01 Apr, 2021
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Statistics Exam 1
3. Find the mean, min, Q1, Q2, Q3, max, range, and interquartile range of the X distribution. (16 points)
Exam 1 5
Marc D. Kinon, Ph.D. PRMA 130
4. Provide a one sentence definition of the mean, min, Q1, Q2, Q3, max, range, and interquartile range in the context
of the X distribution. (16 points)
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Marc D. Kinon, Ph.D. PRMA 130
5. Construct a boxplot of the X distribution. Be sure to label each aspect of the boxplot. (7 points)
6. Indicate the shape of the X distribution. Be sure to provide 2 thoroughly described arguments for your conclusion.
(6 points)
7. Identify all data points (in the X distribution) that are considered outliers based on the following definition: Lower
Outlier: 25th percentile minus (1.5 x IQR); Upper Outlier: 75th percentile plus (1.5 x IQR). (6 points)
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Marc D. Kinon, Ph.D. PRMA 130
8. Find all z-scores for the X distribution. (20 points)
9. Identify all data points that are considered outliers based on the following definition: Z is greater than or equal to
±3σ. How does this method of identifying outliers relate to the “Quartile Method (i.e., did the methods identify the
same outliers)?” (6 points)
10. Create a scatterplot. Be sure to put “Satisfaction with Life” (Y) on the y-axis and “Perception of Meaning in Life” (X)
on the x-axis. (5 points) Do you think there is a negative, positive, or no relationship between these variables? Be
sure to provide evidence for your conclusion. (2 points)
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Marc D. Kinon, Ph.D. PRMA 130
11. Calculate the correlation between the X and Y distributions. (12 points) Be sure to provide a complete
interpretation. That is, indicate the direction (i.e., positive, negative, or no relationship), the size (i.e., .1 = small; .3
= medium; .5 = large), and define what the correlation means in the context of these two variables. (8 points)
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Marc D. Kinon, Ph.D. PRMA 130
12. Create a regression equation to predict “Satisfaction with Life” (Y) from “Perception of Meaning in Life” (X). (6
points) Be sure to provide a complete interpretation of the y-intercept and slope. (4 points) If an undergraduate
scored a 3 on “Perception of Meaning in Life” what would be his/her predicted score on the “Satisfaction with
Life?” (3 points)
13. Add the appropriate regression line to the scatterplot created in question #10. Be sure to label all necessary
components (e.g., note the equation). (4 points)