
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
expand_more
expand_more
format_list_bulleted
Topic Video
Question
thumb_up100%
GPA and study hours: A survey was conducted on 193 Duke University undergraduates who took an introductory statistics course in 2012. Among many other questions, this survey asked them about their GPA, which can
a) What is the explanatory variable?
b) What is the response variable?
c) Describe the relationship between the variables.
d) Is this an experiment or an observational study?
e) Can we conclude that studying longer hours leads to higher GPAs?

Transcribed Image Text:### Relationship Between Study Hours and GPA
The scatter plot displayed above illustrates the relationship between the number of study hours per week and the Grade Point Average (GPA) of students.
**Axes:**
- The x-axis represents the number of study hours per week, ranging from 0 to approximately 70.
- The y-axis represents the GPA, ranging from 2.5 to 4.0.
**Data Points:**
- Each dot in the scatter plot represents an individual student.
- The concentration of data points lies between 10 and 30 hours of study per week with GPA values ranging primarily between 3.0 and 4.0.
- As the number of study hours increases beyond 30, the data points become sparser.
**Observations:**
- There is a notable concentration of GPAs between 3.0 and 3.5 for students studying between 10 to 20 hours per week.
- Several outliers can be observed, particularly with students studying over 60 hours per week, although these instances are rare.
### Conclusion
While there appears to be some positive correlation between study hours per week and GPA, the relationship is not entirely clear-cut. The scatter plot suggests that while studying more may generally associate with higher GPAs, there are numerous factors in play, and excessive studying does not guarantee a higher GPA.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 2 steps

Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- Question: In a class of 50 students, the scores on a statistics exam are as follows: 10 students scored 80, 15 students scored 70, 20 students scored 60, and the rest scored 50. What is the mean score on the exam?arrow_forwardThe table below shows the grades of the 20 students of a martial arts class. There are three grades: satisfactory(S), unsatisfactory(U), and incomplete(I) Question: Which measure of central tendency is appropriate for the variable? Mode Median Meanarrow_forwardCris Turlock owns and manages a small business in San Francisco, California. The business provides breakfast and brunch food, via carts parked along sidewalks, to people in the business district of the city. Being an experienced businessperson, Cris provides incentives for the salespeople operating the food carts. This year, she plans to offer monetary bonuses to her salespeople based on their individual mean daily sales. Her first task is to see if there is a significant difference in the mean daily sales among the different salespeople. She chooses a "sample" of days for each salesperson and records the sales for each day. She then runs a one-way, independent-samples ANOVA test to determine whether or not she can conclude that at least one salesperson's performances is significantly different from the others. (Otherwise, she'll split the bonuses evenly among all the salespeople.) In her ANOVA, the "groups" are the different salespeople, and the variable of interest is the daily sales…arrow_forward
- A study was conducted to examine the impact of speaking in public on college students. A class of 15 statistics students participated in the study. At the beginning of a lecture the students recorded their systolic blood pressure. During the lecture the instructor called on each student to stand and answer questions about topics in the lecture. After speaking the students once again recorded their blood pressure. The resulting values are given below along with summary statistics. before 100 123 128 125 136 108 130 113 105 136 146 138 108 149 132 after 141 142 146 136 144 111 132 114 103 133 140 130 100 133 113 difference -41 -19 -18 -11 -8 -3 -2 -1 2 3 6 8 8 16 19 before after difference mean 125.1 127.9 -2.733 st dev 15.26 15.45 15.23 Does this information indicate that blood pressure increased because of speaking? Conduct an appropriate hypothesis test and show appropriate steps. Let μ1 mean systolic blood pressure before speaking in public, and μ2 mean…arrow_forwardQuestion: Can you give an example of variable for which the mean would not be appropriate to describe the data (that is, tell me a circumstance in which you would not want to use the mean to describe a dataset).arrow_forwardThe following data were collected in a survey of 8th graders and summarize their cell phone status. What proportion of the 8th graders have cell phones? No cell phone Conventional cell phone Smartphone Boys 50 65 33 Girls 31 76 27arrow_forward
- ASK YOUR TEACHER The superintendent of a school district wants to determine if there is a statistically significant correlation between expenditures and test scores. She finds the top 10 Sonoma County school districts, ranked by spending, and the test scores shown in the table. Top 10 Sonoma County School Districts by Spending f dollars District Expenditure Test Score (API) Horicon $20,136 676 Fort Ross 17,123 767 Montgomery 16,539 844 Monte Fio 14,280 872 Kenwood 13,248 871 Geyserville 12,499 776 Alexander Valley 11,640 894 Harmony 11,353 863 Two Rock 10,406 866 Roseland 10,059 779 What is the correlation between the expenditure (x) and the test score (y)? (Round your answer to four decimal places.) r = Is this correlation significant at either the 5% or the 1% significance level? Yes, there is a correlation. It is significant at the 1% level. Yes, there is a correlation. It is significant at the 5% level. O No, there is no significant correlation. Need Help? Reid it Additional…arrow_forwardHospitals In a study of births in New York State, data were collected from four hospitals coded as follows: (1) Albany Medical Center; (1438) Bellevue Hospital Center; (66) Olean General Hospital; (413) Strong Memorial Hospital. Does it make sense to calculate the average (mean) of the numbers 1, 1438, 66, and 413?arrow_forwardgrade 12 data management. question : What is the weighted average score for Larry?arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman

MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc

Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning

Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning

Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON

The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman

Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman