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 0 3 1 2 5 1 8 GPA 3.3 2.9 3.4 3.3 2.5 2.8 0.7 1. The p-value is: _____ (Round to four decimal places) 2. Use a level of significance of α=0.05 to state the conclusion of the hypothesis test in the context of the study (pick one). a. 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. b. 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. c. 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. d. 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. 3. Interpret r2 = 0.82 (pick one): a. There is a 83% chance that the regression line will be a good predictor for GPA based on the number of lovers a student has had. b. 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 83%. c. 83% of all students will have the average GPA. d. Given any group of students who have all had the same number of lovers, 83% of all of these studetns will have the predicted GPA.
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 | 0 | 3 | 1 | 2 | 5 | 1 | 8 |
|---|---|---|---|---|---|---|---|
| GPA | 3.3 | 2.9 | 3.4 | 3.3 | 2.5 | 2.8 | 0.7 |
1. The p-value is: _____ (Round to four decimal places)
2. Use a level of significance of α=0.05 to state the conclusion of the hypothesis test in the context of the study (pick one).
a. There is statistically significant evidence to conclude that there is a
b. 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.
c. 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.
d. 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.
3. Interpret r2 = 0.82 (pick one):
a. There is a 83% chance that the regression line will be a good predictor for GPA based on the number of lovers a student has had.
b. 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 83%.
c. 83% of all students will have the average GPA.
d. Given any group of students who have all had the same number of lovers, 83% of all of these studetns will have the predicted GPA.
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