Question 2: The following is a table of the ages, in months, (X) of 7 infants and the number of hours (Y) each slept in a day. Table of ages in months(X) of infants and the number of hours (Y) each slept: X Y 1.5 16.5 2.0 15 7.0 13.5 5.0 14.5 4.5 14.5 6.0 12.5 9.0 11.5 a) Draw a scatter plot. b) Does this plot show a positive, negative, or no relationship between an infant's age in months and the number of hours sleep?
Question 2: The following is a table of the ages, in months, (X) of 7 infants and the number of hours (Y) each slept in a day. Table of ages in months(X) of infants and the number of hours (Y) each slept: X Y 1.5 16.5 2.0 15 7.0 13.5 5.0 14.5 4.5 14.5 6.0 12.5 9.0 11.5 a) Draw a scatter plot. b) Does this plot show a positive, negative, or no relationship between an infant's age in months and the number of hours sleep?
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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Transcribed Image Text:### Question 2:
The following is a table of the ages, in months, (X) of 7 infants and the number of hours (Y) each slept in a day.
#### Table of ages in months (X) of infants and the number of hours (Y) each slept:
| X (months) | 1.5 | 2.0 | 7.0 | 5.0 | 4.5 | 6.0 | 9.0 |
|------------|-----|-----|-----|-----|-----|-----|-----|
| Y (hours) | 16.5| 15 | 13.5| 14.5| 14.5| 12.5| 11.5|
a) Draw a scatter plot.
b) Does this plot show a positive, negative, or no relationship between an infant's age in months and the number of hours sleep?
### Detailed Explanation:
1. **Scatter Plot**:
- On the x-axis, plot the ages in months (X) of the infants.
- On the y-axis, plot the number of hours (Y) each infant slept in a day.
- Plot each pair (X, Y) as a point on the graph.
2. **Analysis of Relationship**:
- **Positive Relationship**: As the age (X) increases, the number of hours slept (Y) also increases.
- **Negative Relationship**: As the age (X) increases, the number of hours slept (Y) decreases.
- **No Relationship**: There is no apparent trend or correlation between the ages (X) and the number of hours slept (Y).
By plotting these points on a scatter plot, one can visually inspect the overall trend to determine whether there is a positive, negative, or no apparent relationship between the two variables.
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