Statistics Group Project Jenny Petersen Jenn Andreason Charlee

Statistics Group Project Jenny Petersen Jenn Andreason Charlee Jones Kirstie Caston Makenzi Ford

Research Question Is a student’s GPA related to how many credit hours they take?

STUDY DESIGN To answer we will do the following: We are each going to collect data from 20 randomly selected students, totaling 100, and ask them what their GPA and number of credit hours was for Spring Semester of 2012. We plan to randomly and anonymously ask people to fill out our questionnaire asking them their GPA and number of credit hours for Spring Semester of 2012. We will create a graph to show the correlation between the two values.

HISTOGRAM SLCC Student's Credit Hours 35 30 Frequency 25 20 15 10 0 0 1 3 5 7 9 11 13 15 Credit Hours 17 19 21 23 25 More (CREDIT HOURS) 5

Credit Hours

GPA 4 M or e 3 3. 1 3. 2 3. 3 3. 4 3. 5 3. 6 3. 7 3. 8 3. 9 2 2. 3 2. 4 2. 5 2. 6 2. 7 2. 8 2. 9 2. Frequency 16 12 8 Frequency 4 0 Histogram (GPA) SLCC Student's GPA

GPA Hours

SCATTER PLOT 25 20 Credit Hours R 2 = 0, 0029 15 10 5 0 0 0, 5 1 1, 5 2 2, 5 GPA Linear Correlation Coefficient: R= -0. 0537 Line of Regression: ŷ= -0. 5054 x – 12. 266 3 3, 5 4 4, 5

§ The scatter plot shows a non-linear relation between the two variables, GPA and credit hours. R= -0. 0537 meaning that the graph is slightly negative but this is not a very strong outcome because the value is very close to 0. With the graph being slightly negative, this means that a student’s credit hours barely affects their GPA.

DIFFICULTIES/ SURPRISES ENCOUNTERED The overall conclusion from our group was that the most difficult part in the project surprisingly the scatter plot graph. Numerous members of the group found themselves watching tutorials to aid in the scatter plot. Others found easier to hand write their scatter plot graph. When beginning this project we anticipated that the difficult part would be to gather the data, but with group support we ended up with a sufficient amount of data to come to our conclusion We were surprised to see that there is no correlation between the amount of credit hours a student takes and their GPA. We were all expecting to see a somewhat significant decrease in the GPA when more credit hours are taken

CONCLUSION By looking at the scatter plot graph, it demonstrates a non-linear equation. This means that the two variables, GPA and credit hours, are not related to one another. However it is slightly negative indicating the more credit hours a student takes the lower their GPA, but this is not a very strong outcome. A students GPA is not affected by how many credit hours they are taking. The original question was, “Is a student’s GPA related to how many credit hours they are taking? ” The answer to this question is no, a student’s GPA is not related to how many credit hours they are taking.

JEN NY PETERSEN- DATA COLLECTION, ORGANI ZATI ON OF DATA INTO TABLES AND EMAILED TO PROFESSOR MA KENZ I FO RD- COLLEC TION OF DATA CHARLEE JO NES- COLL EC TION OF DATA, POW ERPO INT , POWERPOINT INFO KIRS TIE CAS TON- RESEAR CH QUESTION, CO LLEC TION OF DATA, POWERPOINT INFO JEN N AN DRE ASON- COLL ECTION OF DATA, POW ERPO INT INFO