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Use the following to answer the questions below:Data were collected on GPA and number of Facebook ...

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Use the following to answer the questions below:

Data were collected on GPA and number of Facebook friends for students in a small statistics class. Some summary statistics, partial output from the regression analysis, and a scatterplot of the data (with regression line) are provided. Assume that students in this class are typical of all students at the university.

Use three decimal places when reporting the results from any calculations, unless otherwise specified.

 Variable Mean StDev Minimum Maximum GPA 3.2067 0.4118 2.4000 3.9500 FacebookFriends 677.9 307.2 185.0 1500.0

The regression equation is GPA = 3.830 - 0.000919 FacebookFriends

 Source DF SS MS F P Regression 1 2.31193 2.31193 24.85 0.000 Error 28 2.60534 0.09305 ​ ​ Total 29 4.91727 ​ ​ ​

Use the information in the ANOVA table to compute and interpret R2.

R2 = 0.470
About 53% of the variability in GPA for students in this sample is explained by number of Facebook friends.

R2 = 0.686
About 31% of the variability in GPA for students in this sample is explained by number of Facebook friends.

R2 = 0.686
About 69% of the variability in GPA for students in this sample is explained by number of Facebook friends.

R2 = 0.470
About 47% of the variability in GPA for students in this sample is explained by number of Facebook friends.
Textbook

Statistics: Unlocking the Power of Data

Edition: 3rd
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melryandionmelryandion
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