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 3 7 GPA 3.9 2.7 3 1.6 2.5 3.5 a. Find the correlation coefficient: r = Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Ho: pv▼ H1: pv = 0

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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
2
7
GPA
3.9
2.7
3
1.6
2.5
3.5
2
a. Find the correlation coefficient: r =
Round to 2 decimal places.
b. The null and alternative hypotheses for correlation are:
Но: ру
= 0
H1:
The p-value is:
(Round
four decimal places)
c. Use a level of significance of a =
of the study.
0.05 to state the conclusion of the hypothesis test in the context
There is statistically insignificant evidence to conclude that there is a correlation between the
number of lovers students have had in their lifetimes and their GPA. Thus, the use of the
regression line is not appropriate.
There is statistically significant evidence to conclude that there is a correlation between the
number of lovers students have had in their lifetimes and their GPA. Thus, the regression line
is useful.
O There is statistically insignificant evidence to conclude that a student who has had more lovers
will have a lower GPA than a student who has had fewer lovers.
There is statistically significant evidence to conclude that a student who has had more lovers
will have a lower GPA than a student who has had fewer lovers.
d. r?
(Round to two decimal places)
Transcribed Image Text: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 2 7 GPA 3.9 2.7 3 1.6 2.5 3.5 2 a. Find the correlation coefficient: r = Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Но: ру = 0 H1: The p-value is: (Round four decimal places) c. Use a level of significance of a = of the study. 0.05 to state the conclusion of the hypothesis test in the context There is statistically insignificant evidence to conclude that there is a correlation between the number of lovers students have had in their lifetimes and their GPA. Thus, the use of the regression line is not appropriate. There is statistically significant evidence to conclude that there is a correlation between the number of lovers students have had in their lifetimes and their GPA. Thus, the regression line is useful. O There is statistically insignificant evidence to conclude that a student who has had more lovers will have a lower GPA than a student who has had fewer lovers. There is statistically significant evidence to conclude that a student who has had more lovers will have a lower GPA than a student who has had fewer lovers. d. r? (Round to two decimal places)
f. The equation of the linear regression line is:
ŷ =
x (Please show your answers to two decimal places)
%3D
+
g. 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.)
Transcribed Image Text:f. The equation of the linear regression line is: ŷ = x (Please show your answers to two decimal places) %3D + g. 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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