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 3 6 4 0 GPA 2.7 2.1 2 4 6 4 6 1.4 1.9 2.2 a. Find the correlation coefficient: r = -0.88 Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Ho: (p) H₁: = 0 #0 The p-value is: 0.1239 x (Round to four decimal places)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Need help finding the P-Value
### Relationship Between Number of Lovers and GPA

A study was conducted to examine the relationship between the number of romantic partners college students have had in their lifetimes and their Grade Point Averages (GPAs). The results of the survey are displayed below:

| Lovers | 3 | 6 | 4 | 0 | 6 | 4 | 6 |
|--------|---|---|---|---|---|---|---|
| GPA    | 2.7 | 2.1 | 2.0 | 4.0 | 1.4 | 1.9 | 2.2 |

#### Key Findings:

a. **Correlation Coefficient:**
   - The correlation coefficient (\( r \)) is calculated to be **-0.88**. This value is rounded to two decimal places.

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

The **p-value** is reported as **0.1239** (rounded to four decimal places).
Transcribed Image Text:### Relationship Between Number of Lovers and GPA A study was conducted to examine the relationship between the number of romantic partners college students have had in their lifetimes and their Grade Point Averages (GPAs). The results of the survey are displayed below: | Lovers | 3 | 6 | 4 | 0 | 6 | 4 | 6 | |--------|---|---|---|---|---|---|---| | GPA | 2.7 | 2.1 | 2.0 | 4.0 | 1.4 | 1.9 | 2.2 | #### Key Findings: a. **Correlation Coefficient:** - The correlation coefficient (\( r \)) is calculated to be **-0.88**. This value is rounded to two decimal places. b. **Hypothesis Testing:** - **Null Hypothesis (\( H_0 \)):** \( \rho = 0 \) - **Alternative Hypothesis (\( H_1 \)):** \( \rho \neq 0 \) The **p-value** is reported as **0.1239** (rounded to four decimal places).
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