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QUESTION

]You have collected data from 20 of your MAT114 classmates. For each classmate you measured: height, average number of hours of sleep per night, average number hours spent studying per week, total num

]You have collected data from 20 of your MAT114 classmates. For each classmate you measured: height, average number of hours of sleep per night, average number hours spent studying per week, total number of MAT114 classes missed, and current MAT114 grade. The data is given below.

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For each of the relationships listed below, give an example of a pair of variables that you believe would demonstrate the indicated relationship. Justify your response with complete sentences.

  1. (10 points) Positive correlation.
  2. (10 points) Negative correlation.
  3. (10 points) No correlation.

(20 points) Create a histogram of the overall grades from the 20 students. Describe the shape.

(CONTINUED ON BACK)

Excel indicates the linear regression trendline for the relationship between hours spent studying per week (x) and overall grade (y) is =5.51 +64.

In an effort to support students and provide them with programming that can improve student success, the Office of Studnt Life decided to analyze the correlation between academic and extracurricular activites compared to the GPA of a freshman’s first semester and the cumulative GPA of a graduating senior. The following table displays correlation coefficients taken from linear regressions of specific relationships across several categories:

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d) (20 points) Calculating and/or stating any other quantities you believe are important, make and justify a recommendation for the Office of Student Life regarding which aspects they should put the most focus on in their programming to improve student success at NAU. Address any features of this context you believe are significant. For example, does it appear “academic” categories or “extracurricular” categories have a stronger influence on success? Is it more important for a student to attend class or to take fewer units? Would your recommendation change if the Office of Student Life wanted to focus on supporting students in their first semester at NAU versus supporting long-‐term student success? Show your work and justify your recommendation in a paragraph or more or discussion.

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