What is the relationship between the number of minutes per day a woman spends talking on the phone and the woman's weight? The time on the phone and weight for 7 women are shown in the table below. Time 31 51 24 22 83 54 62 Pounds 111 130 121 120 155 119 132 a. Find the correlation coefficient: r = decimal places. b. The null and alternative hypotheses for correlation are: Ho: 0 = H₁: 0 The p-value is: pû Round to 2 (Round to four decimal places)
What is the relationship between the number of minutes per day a woman spends talking on the phone and the woman's weight? The time on the phone and weight for 7 women are shown in the table below. Time 31 51 24 22 83 54 62 Pounds 111 130 121 120 155 119 132 a. Find the correlation coefficient: r = decimal places. b. The null and alternative hypotheses for correlation are: Ho: 0 = H₁: 0 The p-value is: pû Round to 2 (Round to four decimal places)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Find R, R^2 and P Value
![**Exploring the Relationship Between Time Spent on the Phone and Weight**
**Objective:**
To examine the relationship between the number of minutes per day a woman spends talking on the phone and her weight. Data for time on the phone and weight for 7 women are shown in the table below.
**Dataset:**
| Time (minutes) | Weight (pounds) |
|----------------|-----------------|
| 31 | 111 |
| 51 | 130 |
| 24 | 121 |
| 22 | 120 |
| 83 | 155 |
| 54 | 119 |
| 62 | 132 |
**Tasks:**
**a. Calculate the correlation coefficient (r):**
The correlation coefficient (r) quantifies the degree to which the two variables, time on the phone and weight, are related.
\[ r = \boxed{\phantom{Number here.}} \]
*Round the correlation coefficient to 2 decimal places.*
**b. Formulate Hypotheses for Correlation Analysis:**
- **Null Hypothesis (H₀):** There is no correlation between the time spent on the phone and the weight of the woman.
\[ H_0: \rho = 0 \]
- **Alternative Hypothesis (H₁):** There is a correlation between the time spent on the phone and the weight of the woman.
\[ H_1: \rho \ne 0 \]
**c. Determine the p-value:**
The p-value helps to determine the statistical significance of the observed correlation.
\[ \text{The p-value is:} \boxed{\phantom{Number here.}} \]
*Round the p-value to four decimal places.*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3e3e6b4e-0217-4ed3-ab94-f15d27a86457%2Fe8e7eef8-2be9-4577-ae75-860a7005b138%2Fkolvdih_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Exploring the Relationship Between Time Spent on the Phone and Weight**
**Objective:**
To examine the relationship between the number of minutes per day a woman spends talking on the phone and her weight. Data for time on the phone and weight for 7 women are shown in the table below.
**Dataset:**
| Time (minutes) | Weight (pounds) |
|----------------|-----------------|
| 31 | 111 |
| 51 | 130 |
| 24 | 121 |
| 22 | 120 |
| 83 | 155 |
| 54 | 119 |
| 62 | 132 |
**Tasks:**
**a. Calculate the correlation coefficient (r):**
The correlation coefficient (r) quantifies the degree to which the two variables, time on the phone and weight, are related.
\[ r = \boxed{\phantom{Number here.}} \]
*Round the correlation coefficient to 2 decimal places.*
**b. Formulate Hypotheses for Correlation Analysis:**
- **Null Hypothesis (H₀):** There is no correlation between the time spent on the phone and the weight of the woman.
\[ H_0: \rho = 0 \]
- **Alternative Hypothesis (H₁):** There is a correlation between the time spent on the phone and the weight of the woman.
\[ H_1: \rho \ne 0 \]
**c. Determine the p-value:**
The p-value helps to determine the statistical significance of the observed correlation.
\[ \text{The p-value is:} \boxed{\phantom{Number here.}} \]
*Round the p-value to four decimal places.*
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