Floor Space (sq. ft.) 6,060 5,230 4,280 5,580 5,670 5,020 5,410 4,990 4,220 4,160 4,870 5,470 Weekly Sales (dollars) 16,380 14,400 13,820 18,230 14, 200 12,800 15,840 16,610 13,610 10,050 15,320 13,270 Click here for the Excel Data File (0) Using the table above, select the most appropriate scatter plot from the given choices. Scatter Plot A Scatter Plot B Scatter Plot C Floor Space and We ekly Sales Floor Space and We ekly Sales Floor Space and We ekly Sales 20,000 18,000 * 16.000 E 14,000 5 12.000 > 10,000 8,000 6,000 4,000 2,000 0. 20,000 18,000 16,000 14,000 * 12,000 10,000 8,000 6,000 4,000 2,000 20,000 18,000 16,000 14,000 * 12,000 10,000 8,000 6,000 4,000 2,000 1,000 2,000 3,000 4000 5,000 6,000 7.000 1,000 2,000 3,000 4,000 FLOOR SPACE 5,000 6,000 7,000 FLOOR SPACE 1,000 2.000 3,000 4,000 5,000 6,000 FLOOR SPACE • Scatter Plot A O Scatter Plot B O Scatter Plot C (b) Define the relationship between X and Y. (You may select more than one answer. Click the box with a check mark for the correct answer and double click to empty the box for the wrong answer.) 2 Negative 7 Strong Mc Graw Hill saVSA MIM

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
### Relationship Between Floor Space and Weekly Sales

**Data Table:**
```
Floor Space (sq. ft.) | Weekly Sales (dollars)
-----------------------|------------------------
6,060                  | 16,380
5,980                  | 14,820
4,528                  | 13,200
5,470                  | 18,480
5,250                  | 18,620
5,678                  | 17,220
4,500                  | 11,150
5,670                  | 19,700
5,980                  | 14,010
5,600                  | 18,260
4,120                  | 15,680
4,500                  | 13,050
4,876                  | 15,810
5,450                  | 16,350
```

**Downloadable Content:**
- [Click here for the Excel Data File](#)

**Instructions:** 
- Using the table above, select the most appropriate scatter plot from the given choices.

**Scatter Plots:**

1. **Scatter Plot A:** 
   - Title: Floor Space and Weekly Sales
   - X-Axis: Floor Space (0 - 7,000 sq. ft.)
   - Y-Axis: Weekly Sales (0 - 20,000 dollars)
   - Pattern: Points with a positive correlation, indicating that as Floor Space increases, Weekly Sales tend to increase.

2. **Scatter Plot B:**
   - Title: Floor Space and Weekly Sales
   - X-Axis: Floor Space (0 - 7,000 sq. ft.)
   - Y-Axis: Weekly Sales (0 - 20,000 dollars)
   - Pattern: Points showing a scattered and weak correlation, suggesting no clear relationship between Floor Space and Weekly Sales.

3. **Scatter Plot C:**
   - Title: Floor Space and Weekly Sales
   - X-Axis: Floor Space (0 - 7,000 sq. ft.)
   - Y-Axis: Weekly Sales (0 - 20,000 dollars)
   - Pattern: Points showing a weak or non-existent dispersion indicating no clear correlation between Floor Space and Weekly Sales.

**Question (a):**
- Using the table above, select the most appropriate scatter plot from the given choices.
  - **Options:**
    - Scatter Plot A
    - Scatter Plot B
    - Scatter Plot C
Transcribed Image Text:### Relationship Between Floor Space and Weekly Sales **Data Table:** ``` Floor Space (sq. ft.) | Weekly Sales (dollars) -----------------------|------------------------ 6,060 | 16,380 5,980 | 14,820 4,528 | 13,200 5,470 | 18,480 5,250 | 18,620 5,678 | 17,220 4,500 | 11,150 5,670 | 19,700 5,980 | 14,010 5,600 | 18,260 4,120 | 15,680 4,500 | 13,050 4,876 | 15,810 5,450 | 16,350 ``` **Downloadable Content:** - [Click here for the Excel Data File](#) **Instructions:** - Using the table above, select the most appropriate scatter plot from the given choices. **Scatter Plots:** 1. **Scatter Plot A:** - Title: Floor Space and Weekly Sales - X-Axis: Floor Space (0 - 7,000 sq. ft.) - Y-Axis: Weekly Sales (0 - 20,000 dollars) - Pattern: Points with a positive correlation, indicating that as Floor Space increases, Weekly Sales tend to increase. 2. **Scatter Plot B:** - Title: Floor Space and Weekly Sales - X-Axis: Floor Space (0 - 7,000 sq. ft.) - Y-Axis: Weekly Sales (0 - 20,000 dollars) - Pattern: Points showing a scattered and weak correlation, suggesting no clear relationship between Floor Space and Weekly Sales. 3. **Scatter Plot C:** - Title: Floor Space and Weekly Sales - X-Axis: Floor Space (0 - 7,000 sq. ft.) - Y-Axis: Weekly Sales (0 - 20,000 dollars) - Pattern: Points showing a weak or non-existent dispersion indicating no clear correlation between Floor Space and Weekly Sales. **Question (a):** - Using the table above, select the most appropriate scatter plot from the given choices. - **Options:** - Scatter Plot A - Scatter Plot B - Scatter Plot C
### Educational Content: Understanding Scatter Plot Relationships

**Question:**
(b) Define the relationship between X and Y. (You may select more than one answer. Click the box with a check mark for the correct answer and double click to empty the box for the wrong answer.)

**Options:**
- [ ] Negative
- [ ] Strong
- [ ] Positive
- [ ] Moderate
- [ ] Nonlinear
- [ ] Linear

---

**Detailed Explanation:**

When analyzing scatter plots, understanding the type of relationship between the two variables X and Y is crucial. Here are the definitions for each type of relationship that you might identify in a scatter plot:

1. **Negative Relationship:**
   - This occurs when, as X increases, Y decreases. The data points trend downwards from left to right.

2. **Strong Relationship:**
   - The data points lie very close to a clear form, whether it be linear or nonlinear. There is little scatter in the data points around the form.

3. **Positive Relationship:**
   - This occurs when, as X increases, Y also increases. The data points trend upwards from left to right.

4. **Moderate Relationship:**
   - The data points lie moderately close to a form, but there is still some scatter away from the form.

5. **Nonlinear Relationship:**
   - The data points follow a clear pattern, but the pattern is not a straight line. Examples include parabolic or sinusoidal trends.

6. **Linear Relationship:**
   - The data points fall along a straight line, either sloping upwards or downwards.

Understanding these definitions will help you select the correct type of relationship observed in scatter plot data. Make sure to closely examine the scatter plot presented to determine which characteristics are shown by the data points, allowing you to accurately define the relationship between X and Y.

For the given question, you need to select the correct characteristic(s) of the scatter plot relationship between X and Y. Remember, multiple choices might be correct, and you may need to consider if the relationship is linear or nonlinear, strong or moderate, and whether it is positive or negative.
Transcribed Image Text:### Educational Content: Understanding Scatter Plot Relationships **Question:** (b) Define the relationship between X and Y. (You may select more than one answer. Click the box with a check mark for the correct answer and double click to empty the box for the wrong answer.) **Options:** - [ ] Negative - [ ] Strong - [ ] Positive - [ ] Moderate - [ ] Nonlinear - [ ] Linear --- **Detailed Explanation:** When analyzing scatter plots, understanding the type of relationship between the two variables X and Y is crucial. Here are the definitions for each type of relationship that you might identify in a scatter plot: 1. **Negative Relationship:** - This occurs when, as X increases, Y decreases. The data points trend downwards from left to right. 2. **Strong Relationship:** - The data points lie very close to a clear form, whether it be linear or nonlinear. There is little scatter in the data points around the form. 3. **Positive Relationship:** - This occurs when, as X increases, Y also increases. The data points trend upwards from left to right. 4. **Moderate Relationship:** - The data points lie moderately close to a form, but there is still some scatter away from the form. 5. **Nonlinear Relationship:** - The data points follow a clear pattern, but the pattern is not a straight line. Examples include parabolic or sinusoidal trends. 6. **Linear Relationship:** - The data points fall along a straight line, either sloping upwards or downwards. Understanding these definitions will help you select the correct type of relationship observed in scatter plot data. Make sure to closely examine the scatter plot presented to determine which characteristics are shown by the data points, allowing you to accurately define the relationship between X and Y. For the given question, you need to select the correct characteristic(s) of the scatter plot relationship between X and Y. Remember, multiple choices might be correct, and you may need to consider if the relationship is linear or nonlinear, strong or moderate, and whether it is positive or negative.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Area of a Circle
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman