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 7 2GPA 2.5 2.7 3.62 8 7 12.1 2.7 3.682.18 62.5 2.9Round to 2 decimal places.Find the correlation coefficient: r =The null and alternative hypotheses for correlation are:Ho: ? = 0H₁: ? #0The p-value is:(Round to four decimal places)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 there is a correlation between thenumber of lovers students have had in their lifetimes and their GPA. Thus, the regression line isuseful.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 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.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.7² =(Round to two decimal places) (Round to two decimal places)Interpret 7¹² :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.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.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 71% of all students will have the average GPA.The equation of the linear regression line is:ŷ-=* (Please show your answers to two decimal places)Use the model to predict the GPA of a college student who as had 4 lovers.GPA =(Please round your answer to one decimal place.)Interpret the slope of the regression line in the context of the question:As x goes up, y goes down.For every additional lover students have, their GPA tends to decrease by 0.16.The slope has no practical meaning since a GPA cannot be negative.Interpret the y-intercept in the context of the question:O The y-intercept has no practical meaning for this study.O The average GPA for all students is predicted to be 3.61.

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