Please solve - circle answers please. ● Question 12▼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.a. Find the correlation coefficient: r =b. The null and alternative hypotheses for correlation are:Ho: ?= 0H₁: ?0The p-value is:d. ² =e. Interpret ²c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the contextof the study.6262.3 2.5 3.1(Round to four decimal places)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 loversI will have a lower GPA than a student who has had fewer lovers.Round to 2 decimal places.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.(Round to two decimal places)288000F4071% of all students will have the average GPA.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 71%.O Given any group of students who have all had the same number of lovers, 71% of all of thesestudetns will have the predicted GPA.F5O There is a 71% chance that the regression line will be a good predictor for GPA based on thenumber of lovers a student has had.F6MacBook AirAAF7DIIF8F9 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.(Round to two decimal places)d. 2.e. Interpret ²:71% of all students will have the average GPA.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 71%.80F3O Given any group of students who have all had the same number of lovers, 71% of all of thesestudetns will have the predicted GPA.O There is a 71% chance that the regression line will be a good predictor for GPA based on thenumber of lovers a student has had.f. The equation of the linear regression line is:ŷ =g. Use the model to predict the GPA of a college student who as had 6 lovers.(Please round your answer to one decimal place.)GPA =(Please show your answers to two decimal places)h. Interpret the slope of the regression line in the context of the question:O For every additional lover students have, their GPA tends to decrease by 0.18.O As x goes up, y goes down.O The slope has no practical meaning since a GPA cannot be negative.i. Interpret the y-intercept in the context of the question:Olf a student has never had a lover, then that student's GPA will be 3.36.O The average GPA for all students is predicted to be 3.36.O The best prediction for the GPA of a student who has never had a lover is 3.36.O The y-intercept has no practical meaning for this study.000F4F5MacBook AirF6F7DIIF8F9

Question

Please solve - circle answers please. ● Question 12▼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.<Lovers 4 6 6 5 5 0GPA 2.4 1.9 2.6 2.6 2.1 3.420F3>a. Find the correlation coefficient: r =b. The null and alternative hypotheses for correlation are:Ho: ?= 0H₁: ?0The p-value is:d. ² =e. Interpret ²c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the contextof the study.6262.3 2.5 3.1(Round to four decimal places)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 loversI will have a lower GPA than a student who has had fewer lovers.Round to 2 decimal places.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.(Round to two decimal places)288000F4071% of all students will have the average GPA.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 71%.O Given any group of students who have all had the same number of lovers, 71% of all of thesestudetns will have the predicted GPA.F5O There is a 71% chance that the regression line will be a good predictor for GPA based on thenumber of lovers a student has had.F6MacBook AirAAF7DIIF8F9 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.(Round to two decimal places)d. 2.e. Interpret ²:71% of all students will have the average GPA.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 71%.80F3O Given any group of students who have all had the same number of lovers, 71% of all of thesestudetns will have the predicted GPA.O There is a 71% chance that the regression line will be a good predictor for GPA based on thenumber of lovers a student has had.f. The equation of the linear regression line is:ŷ =g. Use the model to predict the GPA of a college student who as had 6 lovers.(Please round your answer to one decimal place.)GPA =(Please show your answers to two decimal places)h. Interpret the slope of the regression line in the context of the question:O For every additional lover students have, their GPA tends to decrease by 0.18.O As x goes up, y goes down.O The slope has no practical meaning since a GPA cannot be negative.i. Interpret the y-intercept in the context of the question:Olf a student has never had a lover, then that student's GPA will be 3.36.O The average GPA for all students is predicted to be 3.36.O The best prediction for the GPA of a student who has never had a lover is 3.36.O The y-intercept has no practical meaning for this study.000F4F5MacBook AirF6F7DIIF8F9

Accepted Answer

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