Introduction to Scatter Plot and Bivariate data

Scatter Plot

1. Bivariate Data and Scatter Plots

2. Appreciate the importance of the application of bivariate data in their daily life and participate in the group activity with enthusiasm

3. Let’s Warm Up : univariate or Bivariate?

4. COOPERATIVE LEARNING Instructions : Group Formation: Divide the class into 10 small groups, with 3-4 members per group. Each group will receive a specific scatter plot scenario representing different types of correlation (positive, negative, no correlation, weak, strong).

5. COOPERATIVE LEARNING Data Analysis: Each group will carefully examine their scatter plot and the corresponding data table. Students needs to work together to complete the following tasks:  Identify the Pattern: Observe how the data points are distributed. Describe the Form : Is the pattern linear, curved, or scattered? Determine the Trend : Is the relationship positive, negative, or no correlation? Assess the Strength: Is the relationship strong, moderate, or weak? Provide Real-World Examples : Think of other real-life examples that might show similar correlations. Prediction: Each group will discuss and predict what might happen if more data points were collected. Would the correlation become clearer, weaker, or stay the same?

6. Presentation: Each group will present their analysis to the class. During the presentation, they should: Graph the scatter plot using a graphing software/Microsoft excel. Explain their scatter plot. Share their findings on form, trend, and strength. Present their real-world example. Share their prediction.  Peer Feedback: After each group presents, other groups are encouraged to ask questions, share comments, or suggest additional examples. This helps foster collaboration and deeper understanding.

7. Group Member Roles 1. Data Analyzer Responsible for examining the scatter plot and data table. Identifies the pattern and trends. Works with the group to describe the form, trend, and strength of the correlation. 2. Recorder Takes notes during the group discussion. Records key observations, descriptions, and the group’s conclusions. Writes down the real-world example and the group’s prediction. 3. Presenter Presents the group’s findings to the class. Explains the data, the analysis process, and the conclusions. Answers questions from other groups. 4. Peer Reviewer Reviews and double-checks all notes and conclusions. Ensures all parts of the activity are covered. Provides additional insights or examples if needed.

8. Group a

9. Group b

10. Group c

11. Lesson objectives 1. Illustrates the nature of bivariate data. 2. Describes shape (form), trend (direction), and variation (strength) based on a scatter plot. 3 Estimates strength of association between the variables based on a scatter plot. 4 . Constructs a scatter plot. 5. Appreciate the importance of the application of bivariate data in their daily life and participate in the group activity with enthusiasm.

12. Assignment Find a dataset(real-life scenarios) from online resources and create a scatter plot, including a written analysis of the shape, trend, and strength of association.

13. ASsignment 1. A group of students conducted an experiment to see if the height of seedlings has a relationship with its number of leaves. They planted several seedlings and measured the height after a certain number of weeks. The number of leaves was also counted. Below is a table of the height of seedlings and the number of leaves they have. Assigning the height as x-coordinates and number of leaves as y-coordinates, make a scatter plot of the results. Interpret the scatter plot according to form, direction, and strength. Make a statement about the relationship between the height of seedlings and its number of leaves. Height of seedlings (mm) 10 15 8 7 9 12 11 6 14 Number of leaves 5 8 5 2 4 7 6 3 8

14. Sw # 2. A study has been made about the height, in centimeters, of 9 female college students and their shoe sizes. The table of results is presented below. Assigning the height as x-coordinates and shoe size as y-coordinates, make a scatter plot of the results. Interpret the scatter plot according to form, direction, and strength. Make a statement about the relationship between height and shoe size.  Height of students (cm) 165 170 159 151 152 169 164 155 172 Shoes sizes 5 8 5 2 4 7 6 3 8