Biology Forums - Study Force

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	​	​	​

The correlation between GPA and number of Facebook friends is -0.686. Use the correlation and α = 0.05 to test for a negative linear association between GPA and number of Facebook friends. Include all details of the test.

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