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42. a school collected data on student’s grade point average, gpa, and …

Question

  1. a school collected data on student’s grade point average, gpa, and average number of hours per day they were on their cell phone and recorded it in the table below.
average # of hours on cell phone / day122.533.544.5666.577.588.5

which conclusion about the relationship between student cell phone use and gpa is best supported by this data?

a. the more time students spend on their cell phones, the lower their gpa.
b. the more time students spend on their cell phones, the higher their gpa.
c. there is no relationship between student cell phone use and gpa.
d. the less time students spend on their cell phones, the lower their gpa.

Explanation:

Step1: Analyze the data trend

Looking at the table, as the average number of hours on cell phone per day increases (from 1 to 8.5), the GPA values generally decrease (from 3.8 to 2.0). For example, at 1 hour, GPA is 3.8; at 8.5 hours, GPA is 2.0. There are some minor fluctuations (like 2.5 hours having 3.7 which is higher than 2 hours' 3.6, and 6 hours having 2.6 vs 6 hours (another entry) 2.7, 6.5 hours 2.6), but the overall trend is a negative correlation.

Step2: Evaluate each option

  • Option A: Matches the overall trend of increasing cell phone hours leading to lower GPA.
  • Option B: Contradicts the trend (GPA decreases with more phone time).
  • Option C: The clear trend (even with small fluctuations) shows a relationship exists.
  • Option D: Contradicts the trend (less phone time is associated with higher GPA, not lower).

Answer:

A. The more time students spend on their cell phones, the lower their GPA.