Pictures attached eHarmony Up to 12-hour battery life 14" FHD IPS displayA Week 14: Chapter 12 - Linear Rec X1//nightingale.instructure.com/courses/3057255/assignments/28988705?module_item_id=62437114rintable Flash.Question 4<>A study was done to look at the relationship between number of lovers college students have had in theirlifetimes and their GPAS. The results of the survey are shown below.Lovers6684GPA2.72.33.41.72.73.3 2.92.52.7a. Find the correlation coefficient: r =Round to 2 decimal places.b. The null and alternative hypotheses for correlation are:Ho: ? v = 0H1: ?The p-value is:(Round to four decimal places)c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the contextof the study.O There is statistically significant evidence to conclude that a student who has had more loverswill have a lower GPA than a student who has had fewer lovers.O There is statistically insignificant evidence to conclude that a student who has had more loverswill have a lower GPA than a student who has had fewer lovers.O There is statistically significant evidence to conclude that there is a correlation between thenumber of lovers students have had in their lifetimes and their GPA. Thus, the regression line isuseful.O There is statistically insignificant evidence to conclude that there is a correlation between thenumber of lovers students have had in their lifetimes and their GPA. Thus, the use of theregression line is not appropriate.d. p2 =(Round to two decimal places)e. Interpret r2O 80% of all students will have the average GPA.hingacer TrueHarmony Up to 12-hour battery life 14" FHD IPS display* Week 14: Chapter 12 - Linear Re Xps://nightingale.instructure.com/courses/3057255/assignments/28988705?module_item_id%3D62437114e Printable Flash..e. Interpret r2:O 80% of all students will have the average GPA.O Given any group of students who have all had the same number of lovers, 80% of all of thesestudetns will have the predicted GPA.O There is a 80% chance that the regression line will be a good predictor for GPA based on thenumber of lovers a student has had.O There is a large variation in students' GPAS, but if you only look at students who have had afixed number of lovers, this variation on average is reduced by 80%.f. The equation of the linear regression line is:=r (Please show your answers to two decimal places)g. Use the model to predict the GPA of a college student who as had 7 lovers.(Please round your answer to one decimal place.)GPA =h. Interpret the slope of the regression line in the context of the question:O As x goes up, y goes down.O The slope has no practical meaning since a GPA cannot be negative.O For every additional lover students have, their GPA tends to decrease by 0.19.i. Interpret the y-intercept in the context of the question:O The best prediction for the GPA of a student who has never had a lover is 3.56.O The average GPA for all students is predicted to be 3.56.O The y-intercept has no practical meaning for this study.O If a student has never had a lover, then that student's GPA will be 3.56.Hint: Helnful Video on the Linear Rearession Line L1ningacer

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Description: Pictures attached eHarmony Up to 12-hour battery life 14" FHD IPS displayA Week 14: Chapter 12 - Linear Rec X1//nightingale.instructure.com/courses/3057255/assignments/28988705?module_item_id=62437114rintable Flash.Question 4<>A study was done to loo

let us consider x: lovers college have had in there lifetime y: GPA a) correlation=cov(x,y)σxσy for…

Math

Statistics

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 8 4 0 3.3 2.9 2 4 GPA 2.7 2.3 3.4 1.7 2.7 2.5 2.7 a. Find the correlation coefficient: r Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Ho: ? H1: ? The p-value is: (Round to 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

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 8 4 0 3.3 2.9 2 4 GPA 2.7 2.3 3.4 1.7 2.7 2.5 2.7 a. Find the correlation coefficient: r Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Ho: ? H1: ? The p-value is: (Round to 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

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Pictures attached

eHarmony Up to 12-hour battery life 14" FHD IPS display
A Week 14: Chapter 12 - Linear Rec X
1//nightingale.instructure.com/courses/3057255/assignments/28988705?module_item_id=62437114
rintable Flash.
Question 4
<>
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
6
6
8
4
GPA
2.7
2.3
3.4
1.7
2.7
3.3 2.9
2.5
2.7
a. Find the correlation coefficient: r =
Round to 2 decimal places.
b. The null and alternative hypotheses for correlation are:
Ho: ? v = 0
H1: ?
The p-value is:
(Round to four decimal places)
c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context
of the study.
O 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.
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.
O 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 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.
d. p2 =
(Round to two decimal places)
e. Interpret r2
O 80% of all students will have the average GPA.
hing
acer

TrueHarmony Up to 12-hour battery life 14" FHD IPS display
* Week 14: Chapter 12 - Linear Re X
ps://nightingale.instructure.com/courses/3057255/assignments/28988705?module_item_id%3D62437114
e Printable Flash..
e. Interpret r2:
O 80% of all students will have the average GPA.
O Given any group of students who have all had the same number of lovers, 80% of all of these
studetns will have the predicted GPA.
O There is a 80% chance that the regression line will be a good predictor for GPA based on the
number of lovers a student has had.
O 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 80%.
f. The equation of the linear regression line is:
=
r (Please show your answers to two decimal places)
g. Use the model to predict the GPA of a college student who as had 7 lovers.
(Please round your answer to one decimal place.)
GPA =
h. Interpret the slope of the regression line in the context of the question:
O As x goes up, y goes down.
O The slope has no practical meaning since a GPA cannot be negative.
O For every additional lover students have, their GPA tends to decrease by 0.19.
i. Interpret the y-intercept in the context of the question:
O The best prediction for the GPA of a student who has never had a lover is 3.56.
O The average GPA for all students is predicted to be 3.56.
O The y-intercept has no practical meaning for this study.
O If a student has never had a lover, then that student's GPA will be 3.56.
Hint: Helnful Video on the Linear Rearession Line L1
ning
acer

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