Research suggests that there is a strong correlation between the numbe

Question

Research suggests that there is a strong correlation between the number of hours a student spends playing video games per week and the student's GPA. The graph is a scatter plot with 40 points, each representing a student's self-reported weekly video game usage and GPA. Select the best answer to fill in the blanks in each of the statements based on the data shown in the graph.

Attachment:

2.jpg

The student who reported spending the most hours playing video games per week spent closest to % as many hours on video games as the student who reported the second-greatest number of hours.

The relationship between video game use and GPA is .

Data Insights (DI) Quiz-II 2023 [Question #6, Date: Oct-08-2023] [Click here for Details]

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p456 · Answer

130%, Negative

x-axis -> video_game_hours
y-axis -> GPA

1.  The student who reported spending the most hours playing video games per week spent closest to x% as many hours on video games as the student who reported the second-greatest number of hours.

to find x here, we need to consider x-axis only and can ignore y-axis for a while.
first highest = 40 hours
second highest = 29 hours

29(x/100) = 40
x =  137%, closest i can find in options is 130%.

2.  The relationship between video game use and GPA is   NEGATIVE . (linear curve with negative slope)

HarshaBujji · Answer

Most hrs spend on V.Games = 40 .

Second least = 28

12 hr more

12/40 *100 = 30%

mendax · Answer

Most number of hours spent by student on video games = 40 hours approx
Second greatest hours spent = 30 hours(approx)
Percentage= 40*100/30 = 133% =>  130%(approx)

The relationship seems to be  negative  as the number of video game hours are increased, GPA is decreasing.

hallfootball · Answer

Part 1 Question: The student who reported spending the most hours playing video games per week spent closest to _____ % as many hours on video games as the student who reported the second-greatest number of hours.

The student who reported spending the most hours playing video games per week = spent 40 hours per week.

Aas many hours on video games as the student who reported the second-greatest number of hours = 29 hours per week.

Therefore, the translation of the question is 40 hours is closest to x% of 29.
i.e. 40 = (x/100) * 29

Solving for x we get x = 137.93 (rounding to nearest hundredth)

Hence the closest value from the list is 130.

Part 2 Question: The relationship between video game use and GPA is _______

We can clearly see from the graph that as video game hours increase the GPA decreases.

Hence, there is a  negative  relationship between video game hours and GPA.

Elite097 · Answer

i) student who reported spending the most hours playing video games per week =40
hours on video games by the student who reported the second-greatest number of hours=29
Thus 40/29*100= 137.something % which is closest to 130%

ii) There is negative correlation- As the x value increases, y decreases

pintukr · Answer

A. The student who reported spending the most hours playing video games per week spent closest to _____________% as many hours on video games as the student who reported the second-greatest number of hours.

The student who reported spending the most hours playing video games per week spent = 40 hours
The student who reported spending the 2nd greatest hours playing video games per week spent = 29 hours

hence, 40/29 = 1.37 = 137% (closest to 130%)

130 is the correct answer

B. The relationship between video game use and GPA is _______________

As the video game use (hours) INCREASES, the GPA DECREASES

so, negative relationship

NEGATIVE is the correct answer

Abhishek_007 · Answer

Q1) Closest to 75%  .
The student who reported spending the most hours playing video games per week spent 40 hours.
The student who reported the second-greatest number of hours spent ≈ 28 hours.

The percentage of the most hours that the second-greatest number of hours represents is:

(28 hours / 40 hours) * 100% = 70%

Therefore, the answer to the question is = 70%  i.e. ≈ 75%

In other words, the student who reported the second-greatest number of hours spent  closest to 75%  as many hours on video games as the student who reported the most hours.

Q2) Negative.   The relationship between the number of hours spent on video games and GPA, as described in the graph, is negative. According to the graph, as the number of hours spent on video games increases, the GPA decreases, and conversely, as the number of hours spent on video games decreases, the GPA increases. This indicates an inverse relationship between video game hours and GPA, making it a negative correlation.

Sajjad1994 · Answer

Official Explanation

The answer to the first question is D. The greatest number of hours spent on video games was 40, and the second greatest was about 30. Forty is about 133% of 30.

The answer to the second question is A. GPA generally decreases as hours spent on video games increase, so the relationship between those variables is best described as negative.

arunbhati · Answer

Bunuel

in 1st Statement why 40 is not answer 37 is closet to 40% instead of 30%

Bunuel · Answer

The question asks what percent the greatest number of hours is of the second greatest number of hours. The greatest value is 40 hours, and the second greatest is about 29 hours.

40/29 * 100 ≈ 138%

Therefore, the closest answer is 130%.

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GMAT-Club-Forum-41gcjdqr.png

arunbhati · Answer

Bunuel

Still not able to understand I also got 138% answer but it is closet to 40% so I marked 40% in it

Bunuel · Answer

The question asks what percent  40 hours is of about 29 hours , not by what percent 40 exceeds 29.

40/29 * 100 ≈ 138%

You should not subtract 100% and treat this as 38%. That would answer a different question: “how many percent more?” Therefore, the closest answer is  130% , not 40%.

egmat · Answer

Hi arunbhati,

You did the hard part perfectly. You read the graph right (max ≈  40  hours, second-greatest ≈  29  hours) and computed 40/29 ≈  138% . So your  138%  is exactly correct.

The slip is in the very last step - matching  138  to the closest option. It looks like you focused on the trailing part, "...38," and thought "38 is near 40." But the value you're placing is the  whole number 138 , not 38. You have to compare all of  138  against each option.

Line them up and check the distance from 138: 
- To  130  - 138 - 130 =  8 
- To  160  - 160 - 138 =  22 
- To  75  - 138 - 75 =  63 
- To  40  - 138 - 40 =  98

The smallest gap is  8 , so  130  is by far the closest. The option 40 is a full  98  away - it isn't close at all. That's why the answer is  130 , not 40.

Quick rehearsal to lock the habit:  if your result were  162% , which option is closest -  160  or  130 ? Compare the whole numbers: 162 - 160 =  2  vs. 162 - 130 =  32 . Clearly  160 . Always match the entire figure, never just its last digits.

Answer: 130

Research suggests that there is a strong correlation between the numbe

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GMAT Graphs and Tables (G&T) Questions

Research suggests that there is a strong correlation between the numbe

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

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My Rewards