6. You compute the correlation coefficient between hours of TV watched each week and gradepoint index for a group of college students, and you obtain r= - 1.65. This means that (a) you made an arithmetic mistake. (b) students who watch more TV tend to get lower grades. (c) students who watch more TV tend to get higher grades. (d) there is little association between TV viewing and gradepoint index.

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### Correlation Coefficient Analysis

**6. Scenario:**
You compute the correlation coefficient between the hours of TV watched each week and the grade point index for a group of college students, and you obtain \( r = -1.65 \).

**Interpretation Options:**
- **(a)** You made an arithmetic mistake.
- **(b)** Students who watch more TV tend to get lower grades.
- **(c)** Students who watch more TV tend to get higher grades.
- **(d)** There is little association between TV viewing and grade point index.

**Explanation:**
A correlation coefficient (\( r \)) should range between -1 and +1. The value \( r = -1.65 \) is not possible, indicating an error in calculation or data collection, as a valid correlation coefficient cannot exceed these bounds.
Transcribed Image Text:### Correlation Coefficient Analysis **6. Scenario:** You compute the correlation coefficient between the hours of TV watched each week and the grade point index for a group of college students, and you obtain \( r = -1.65 \). **Interpretation Options:** - **(a)** You made an arithmetic mistake. - **(b)** Students who watch more TV tend to get lower grades. - **(c)** Students who watch more TV tend to get higher grades. - **(d)** There is little association between TV viewing and grade point index. **Explanation:** A correlation coefficient (\( r \)) should range between -1 and +1. The value \( r = -1.65 \) is not possible, indicating an error in calculation or data collection, as a valid correlation coefficient cannot exceed these bounds.
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