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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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3 months ago
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 following output to identify and interpret a 95% interval for the mean GPA for all students with 500 Facebook friends.

Predicted Values for New Observations

 FacebookFriends Fit SE Fit 95% CI 95% PI 500 3.3702 0.0646 (3.2378, 3.5026) (2.7315, 4.0089)

▸ CI: (3.2378, 3.5036)
We are 95% sure that the mean GPA for all students with 500 Facebook friends is between 3.2378 and 3.5036.

▸ PI: (2.7315, 4.0089)
We are 95% sure that the GPA of a student with 500 Facebook friends is between 2.7315 and 4.0089.
Textbook

## Statistics: Unlocking the Power of Data

Edition: 3rd
Authors:
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ricyoungricyoung
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