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 1 GPA 3.1 1.5 8 3 0 3.2 3.1 = 6 6 8 1.3 2.2 1.7 a. Find the correlation coefficient: decimal places. b. The null and alternative hypotheses for correlation are: Ho: po 0 H₁: + 0 The p-value is: T = Round to 2 (Round to four decimal places)

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Find R, R^2 and P Value
### Study on the Relationship Between Number of Lovers and GPA among College Students

A study was conducted to examine the relationship between the number of lovers college students have had in their lifetimes and their GPAs. The survey results are presented in the table below:

|     Lovers     |  1  |  8  |  3  |  0  |  6  |  6  |  8  |
|:--------------:|:---:|:---:|:---:|:---:|:---:|:---:|:---:|
|      GPA       | 3.1 | 1.5 | 3.2 | 3.1 | 1.3 | 2.2 | 1.7 |

**Tasks:**

a. **Find the Correlation Coefficient:** Calculate the correlation coefficient (\( r \)) and round your answer to 2 decimal places.

b. **Hypothesis Testing for Correlation:**
- Null Hypothesis (\( H_0 \)): \( \rho = 0 \)
- Alternative Hypothesis (\( H_1 \)): \( \rho \ne 0 \)

Identify the p-value (round to four decimal places).
Transcribed Image Text:### Study on the Relationship Between Number of Lovers and GPA among College Students A study was conducted to examine the relationship between the number of lovers college students have had in their lifetimes and their GPAs. The survey results are presented in the table below: | Lovers | 1 | 8 | 3 | 0 | 6 | 6 | 8 | |:--------------:|:---:|:---:|:---:|:---:|:---:|:---:|:---:| | GPA | 3.1 | 1.5 | 3.2 | 3.1 | 1.3 | 2.2 | 1.7 | **Tasks:** a. **Find the Correlation Coefficient:** Calculate the correlation coefficient (\( r \)) and round your answer to 2 decimal places. b. **Hypothesis Testing for Correlation:** - Null Hypothesis (\( H_0 \)): \( \rho = 0 \) - Alternative Hypothesis (\( H_1 \)): \( \rho \ne 0 \) Identify the p-value (round to four decimal places).
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