Facebook vs GPA - Clustering: You will need to use software to answer these ques
ID: 3267156 • Letter: F
Question
Facebook vs GPA - Clustering: You will need to use software to answer these 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.
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.
r =
(b) Is there a significant linear correlation between these 8 data pairs?
Yes 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.
r =
(d) Is there a significant linear correlation between these first 4 data pairs?
Yes 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.
r =
(f) Is there a significant linear correlation between these last 4 data pairs?
Yes No
index Facebook College Hours (x) GPA (y) 1 1.0 3.2 2 1.5 2.9 3 2.0 3.2 4 2.2 2.9 5 5.0 2.5 6 5.5 2.0 7 6.0 2.2 8 7.5 2.1Explanation / Answer
(a) Using all 8 data pairs for Facebook hours and GPA, calculate the correlation coefficient. Round your answer to 3 decimal places.
Ans: r = -0.933
(b) Is there a significant linear correlation between these 8 data pairs?
Ans: Yes (at 0.05 level of significance)
(c) Using only the first 4 data pairs for Facebook hours and GPA, calculate the correlation coefficient. Round your answer to 3 decimal places.
Ans: r = -0.376
(d) Is there a significant linear correlation between these first 4 data pairs?
Ans: 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.
Ans: r = -0.500
(f) Is there a significant linear correlation between these last 4 data pairs?
Ans: No
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