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 | | | |
![A scatterplot with a regression line shows the relationship between number of Facebook friends and G P A. The horizontal axis is labeled, Number of Facebook friends and ranges from 0 to 1600 in increments of 200. The vertical axis is labeled, G P A and has markings from 2.50 to 4.00 in increments of 0.25. A regression line starts from (200, 3.675), decreases toward the right, and ends at (1500, 2.45). The dots are randomly scattered, such that a few dots lie above the regression line, a few dots lie below the regression line, and a few dots lie on the regression line. The dots are plotted between the points, 200 to 1500 on the horizontal axis and between the points, 2.10 to 3.95 on the vertical axis. The concentration of the dots is more between the points 300 and 1100 on the horizontal axis and between the points, 2.75 and 3.75 on the vertical axis. An outlier lie at the point, (1500, 2.30). All values are approximate.](data:image/png;base64, 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)
Use the following output to identify and interpret a 95% interval for the GPA of a single student 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.