Question: i need help with this 11. Facebook vs GPA - Clustering: (This data is based on a real report but is not the actual data).

i need help with this

i need help with this 11. Facebook vs GPA - Clustering: (This

11. Facebook vs GPA - Clustering: (This data is based on a real report but is not the actual data). Eight college students are surveyed for the number of hours per week they spend on Facebook. This number is paired with the students GPA. The data is in the table below and presented in the scatter plot with the correlation coefficient, regression equation, and regression line. Facebook -vs- GPA r=facebook y = GPA y =-0.187 x + 3.34 r = -0.933 hours per week 1.0 3.2 3 1.5 2.9 2.0 3.2 College GPA 2 2.2 2.9 5.0 2.5 1 5.5 2.0 6.0 2.2 7.5 2.1 0 1 Facebook Hours (per week) 7 8 (a) Based on the information given, is there a linear correlation between weekly hours spent on Face- book and GPA? (b) Comment on the clustering of data here. (c) Find the correlation coefficient for the 4 data points in the higher GPA cluster (these are the first four in the data set). Is there a significant linear correlation for these four? (d) Find the correlation coefficient for the 4 data points in the lower GPA cluster (these are the last four in the data set). Is there a significant linear correlation for these four? (e) Tell the story here. What may be the lurking variables in this correlation

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