instructions in photo **Choosing the Correct Scatter Plot: Exploring Correlations**In this exercise, you will choose the correct scatter plot based on the data provided. After selecting the correct plot, you will determine if there is a positive correlation, negative correlation, or if there is no correlation between the two sets of data.**Given Data:**| x | y ||---|----|| 6 | 1 || 1 | 0.2|| 2 | 7 || 3 | 1.5|| 4 | 3.2|| 5 | 4 || 2 | 2.1|**Scatter Plot Options:**1. Graph A (Left): - This graph shows a scatter plot with x-axis labeled from 0 to 8 and y-axis labeled from 0 to 8. The plotted points do not show any clear trend; they are scattered randomly across the grid. This suggests **no correlation** between x and y. 2. Graph B (Right): - This graph also has the x-axis and y-axis labeled from 0 to 8. In this scatter plot, the points show a noticeable upward trend, indicating that as the values of x increase, the values of y tend to increase as well. This suggests a **positive correlation** between x and y.**Task:**Based on the given data, analyze which scatter plot correctly represents the data. Then determine whether the data shows a positive correlation, negative correlation, or no correlation.**Instructions:**1. Compare the points in the given table with the plotted points in each scatter plot.2. Choose the scatter plot (A or B) that accurately reflects the provided data points.3. Identify the type of correlation based on the scatter plot.**Conclusion:**Upon selecting the appropriate scatter plot, students should be able to articulate their reasoning behind identifying the type of correlation:- **No Correlation:** Data points are randomly scattered.- **Positive Correlation:** Data points trend upwards.- **Negative Correlation:** Data points trend downwards.This exercise helps students understand visual data representation and the relationships between data sets. This image features a person's arm with a white wristband. The wristband has a DNA double helix symbol printed on it, indicating a possible focus on genetics or medical studies. The arm appears to be placed over a laptop screen displaying two scatter plot graphs.### Graphs Description:1. **Left Scatter Plot:** - **X-Axis (Horizontal):** Labeled from 0 to 8. - **Y-Axis (Vertical):** Labeled from 0 to 8. - **Data Points:** There are several data points plotted, forming a pattern that suggests no clear correlation between the variables. The points are scattered randomly across the graph. - **Label:** "negative correlation", indicating that as one variable increases, the other does not follow a clear pattern of decrease.2. **Right Scatter Plot:** - **X-Axis (Horizontal):** Labeled from 0 to 8. - **Y-Axis (Vertical):** Labeled from 0 to 8. - **Data Points:** This graph includes data points that linearly increase from the bottom-left to the top-right, suggesting a positive correlation between the two variables. - **Label:** "positive correlation", indicating that as one variable increases, so does the other.These graphs are used to visually represent correlations between two sets of data points. Positive correlation means that as one variable increases, the other variable also increases. In contrast, negative correlation means that as one variable increases, the other variable tends to decrease.The context in which these graphs are displayed, along with the DNA-themed wristband, suggests a possible application in studying genetic data or medical statistics. These educational tools could be used to teach students about statistical correlations in the field of genetics or medical research.

As we can observe from the data of x and y is that x and y both are moving in the same direction…

41100 4495 8 2. Choose the correct scatter plot of the data below. Is there a positive correlation, negative c 1 2 7 5 4 y 0.2 3 1.5 4 3.2 2.1 A. 8 y ; positive correlation 2 0 1 2 3 45 6 7 8 O B. y 7. no correlation 3 01234 5 67 8 2o search

41100 4495 8 2. Choose the correct scatter plot of the data below. Is there a positive correlation, negative c 1 2 7 5 4 y 0.2 3 1.5 4 3.2 2.1 A. 8 y ; positive correlation 2 0 1 2 3 45 6 7 8 O B. y 7. no correlation 3 01234 5 67 8 2o search

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 15PPS

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Concept explainers

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.

Question

instructions in photo

**Choosing the Correct Scatter Plot: Exploring Correlations**

In this exercise, you will choose the correct scatter plot based on the data provided. After selecting the correct plot, you will determine if there is a positive correlation, negative correlation, or if there is no correlation between the two sets of data.

**Given Data:**

| x | y |
|---|----|
| 6 | 1 |
| 1 | 0.2|
| 2 | 7 |
| 3 | 1.5|
| 4 | 3.2|
| 5 | 4 |
| 2 | 2.1|

**Scatter Plot Options:**

1. Graph A (Left):
- This graph shows a scatter plot with x-axis labeled from 0 to 8 and y-axis labeled from 0 to 8. The plotted points do not show any clear trend; they are scattered randomly across the grid. This suggests **no correlation** between x and y.

2. Graph B (Right):
- This graph also has the x-axis and y-axis labeled from 0 to 8. In this scatter plot, the points show a noticeable upward trend, indicating that as the values of x increase, the values of y tend to increase as well. This suggests a **positive correlation** between x and y.

**Task:**
Based on the given data, analyze which scatter plot correctly represents the data. Then determine whether the data shows a positive correlation, negative correlation, or no correlation.

**Instructions:**
1. Compare the points in the given table with the plotted points in each scatter plot.
2. Choose the scatter plot (A or B) that accurately reflects the provided data points.
3. Identify the type of correlation based on the scatter plot.

**Conclusion:**
Upon selecting the appropriate scatter plot, students should be able to articulate their reasoning behind identifying the type of correlation:

- **No Correlation:** Data points are randomly scattered.
- **Positive Correlation:** Data points trend upwards.
- **Negative Correlation:** Data points trend downwards.

This exercise helps students understand visual data representation and the relationships between data sets.

This image features a person's arm with a white wristband. The wristband has a DNA double helix symbol printed on it, indicating a possible focus on genetics or medical studies. The arm appears to be placed over a laptop screen displaying two scatter plot graphs.

### Graphs Description:

1. **Left Scatter Plot:**
- **X-Axis (Horizontal):** Labeled from 0 to 8.
- **Y-Axis (Vertical):** Labeled from 0 to 8.
- **Data Points:** There are several data points plotted, forming a pattern that suggests no clear correlation between the variables. The points are scattered randomly across the graph.
- **Label:** "negative correlation", indicating that as one variable increases, the other does not follow a clear pattern of decrease.

2. **Right Scatter Plot:**
- **X-Axis (Horizontal):** Labeled from 0 to 8.
- **Y-Axis (Vertical):** Labeled from 0 to 8.
- **Data Points:** This graph includes data points that linearly increase from the bottom-left to the top-right, suggesting a positive correlation between the two variables.
- **Label:** "positive correlation", indicating that as one variable increases, so does the other.

These graphs are used to visually represent correlations between two sets of data points. Positive correlation means that as one variable increases, the other variable also increases. In contrast, negative correlation means that as one variable increases, the other variable tends to decrease.

The context in which these graphs are displayed, along with the DNA-themed wristband, suggests a possible application in studying genetic data or medical statistics. These educational tools could be used to teach students about statistical correlations in the field of genetics or medical research.

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