A study was done to look at the relationship between number of lovers college students have had in their lifetimes and their GPAs. The results of the survey are shown below. Lovers777764165GPA121.61.51.323.31.62.3 r2r2 = (Round to two decimal places) Interpret r2r2 : 74% of all students will have the average GPA.There is a large variation in students' GPAs, but if you only look at students who have had a fixed number of lovers, this variation on average is reduced by 74%.Given any group of students who have all had the same number of lovers, 74% of all of these studetns will have the predicted GPA.There is a 74% chance that the regression line will be a good predictor for GPA based on the number of lovers a student has had.The equation of the linear regression line is: ˆyy^ = + xx (Please show your answers to two decimal places) Use the model to predict the GPA of a college student who as had 3 lovers.GPA = (Please round your answer to one decimal place.)

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 10CYU

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A study was done to look at the relationship between number of lovers college students have had in their lifetimes and their GPAs. The results of the survey are shown below.

Lovers	7	7	7	7	6	4	1	6	5
GPA	1	2	1.6	1.5	1.3	2	3.3	1.6	2.3

r2r2 = (Round to two decimal places)
Interpret r2r2 :
- 74% of all students will have the average GPA.
- There is a large variation in students' GPAs, but if you only look at students who have had a fixed number of lovers, this variation on average is reduced by 74%.
- Given any group of students who have all had the same number of lovers, 74% of all of these studetns will have the predicted GPA.
- There is a 74% chance that the regression line will be a good predictor for GPA based on the number of lovers a student has had.
The equation of the linear regression line is:
ˆyy^ = + xx (Please show your answers to two decimal places)
Use the model to predict the GPA of a college student who as had 3 lovers.
GPA = (Please round your answer to one decimal place.)

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