e following data represents students' measured level of grumpiness (Y) and their ore on a measure of junk food consumption (X) for 10 sampled students: Junk Food (X) Grumpiness (Y) X-X Y-Y (X-X) (Y-Y) 7 6 6 4 9 9 4 1 6 7 1 3 1 2 4 3 1 4 3 5 4.20 4.40 2.78 2.41 Mean Std. dev. Complete the missing cells in the table and use this to compute the covariance between junk food consumption and grumpiness. CoVxy = Sum= Use the information provided and your covariance above to compute the correlation between junk food consumption and grumpiness. Is this correlation significant? (Circle one; use a non-directional test) Y N r df = In one sentence APA formatted, state your conclusion about the relationship between junk food consumption and grumpiness. rcrit =

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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The following table represents students' measured level of grumpiness (Y) and their score on a measure of junk food consumption (X) for 10 sampled students:

| Junk Food (X) | Grumpiness (Y) | \(X - \bar{X}\) | \(Y - \bar{Y}\) | \((X - \bar{X}) \times (Y - \bar{Y})\) |
|---------------|----------------|-----------------|-----------------|---------------------------------------|
| 7             | 6              |                 |                 |                                       |
| 6             | 4              |                 |                 |                                       |
| 9             | 9              |                 |                 |                                       |
| 1             | 1              |                 |                 |                                       |
| 6             | 7              |                 |                 |                                       |
| 3             | 3              |                 |                 |                                       |
| 2             | 3              |                 |                 |                                       |
| 1             | 2              |                 |                 |                                       |
| 4             | 3              |                 |                 |                                       |
| 3             | 5              |                 |                 |                                       |

Mean:

- Junk Food (X): 4.20
- Grumpiness (Y): 4.40

Standard Deviation:

- Junk Food (X): 2.78
- Grumpiness (Y): 2.41

Sum: 
- \((X - \bar{X}) \times (Y - \bar{Y})\) = 

1. Complete the missing cells in the table and use this to compute the covariance between junk food consumption and grumpiness.

\[ \text{CoV}_{xy} = \]

2. Use the information provided and your covariance above to compute the correlation between junk food consumption and grumpiness.

\[ r = \]

3. Is this correlation significant? (Circle one; use a non-directional test)

\[ Y \quad N \]

\[ df = \]

\[ r_{crit} = \]

4. In one sentence APA formatted, state your conclusion about the relationship between junk food consumption and grumpiness.
Transcribed Image Text:The following table represents students' measured level of grumpiness (Y) and their score on a measure of junk food consumption (X) for 10 sampled students: | Junk Food (X) | Grumpiness (Y) | \(X - \bar{X}\) | \(Y - \bar{Y}\) | \((X - \bar{X}) \times (Y - \bar{Y})\) | |---------------|----------------|-----------------|-----------------|---------------------------------------| | 7 | 6 | | | | | 6 | 4 | | | | | 9 | 9 | | | | | 1 | 1 | | | | | 6 | 7 | | | | | 3 | 3 | | | | | 2 | 3 | | | | | 1 | 2 | | | | | 4 | 3 | | | | | 3 | 5 | | | | Mean: - Junk Food (X): 4.20 - Grumpiness (Y): 4.40 Standard Deviation: - Junk Food (X): 2.78 - Grumpiness (Y): 2.41 Sum: - \((X - \bar{X}) \times (Y - \bar{Y})\) = 1. Complete the missing cells in the table and use this to compute the covariance between junk food consumption and grumpiness. \[ \text{CoV}_{xy} = \] 2. Use the information provided and your covariance above to compute the correlation between junk food consumption and grumpiness. \[ r = \] 3. Is this correlation significant? (Circle one; use a non-directional test) \[ Y \quad N \] \[ df = \] \[ r_{crit} = \] 4. In one sentence APA formatted, state your conclusion about the relationship between junk food consumption and grumpiness.
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