Facebook vs GPA - Clustering: You will need to use software to answer these questions. Below is the scatterplot, regress
-
- Site Admin
- Posts: 899603
- Joined: Mon Aug 02, 2021 8:13 am
Facebook vs GPA - Clustering: You will need to use software to answer these questions. Below is the scatterplot, regress
questions. Below is the scatterplot, regression line, and corresponding data for the weekly Facebook hours and College GPA's of 8 randomly selected students. You should notice something odd about the scatterplot. Facebook -VS- GPA Index Facebook College Hours (x) GPA (7) V 1 1.0 3.3 2 1.5 2.9 3 2.0 3.2 4 2.2 2.9 5 5.0 2.3 6 5.5 2.0 7 6.0 2.2 8 7.5 2.0 College GPA 0 0 2 Facebook Hours (per week) You should be able to copy and paste the data by highlighting the entire table. Answer the following questions regarding the relationship. Test at a 0.05 significance level. (a) Using all 8 data pairs for Facebook hours and GPA, calculate the correlation coefficient. Round your answer to 3 decimal places. a, . r= (b) Is there a significant linear correlation between these 8 data pairs? Yes O No (c) Using only the first 4 data pairs for Facebook hours and GPA, calculate the correlation coefficient. Round your answer to 3 decimal places. (d) Is there a significant linear correlation between these first 4 data pairs? Yes O No (e) Using only the last 4 data pairs for Facebook hours and GPA, calculate the correlation coefficient. Round your answer to 3 decimal places. (. (f) Is there a significant linear correlation between these last 4 data pairs? Yes O No (9) Which statement explains this situation? The data seems to be divided into two "clusters'; those who spend a lot of time on Facebook and those who don't The clustering of the data creates a significant correlation. Within each cluster there is not a significant correlation. It appears that the students who spend a lot of time on Facebook have a lower GPA than those students who do not. O All of these are valid statements.
Facebook vs GPA - Clustering: You will need to use software to answer these