ELEVATE 2022 Cluster 4 DT-Jade Christyn Magaling

CORRELATION ANALYSIS

Statistics & Probability

PISAY ELEVATE 2022 | Cluster 4 Demonstration Teaching | Jade Christyn Magaling

Draw

Activity 1: Draw an emoji that would best describe how you are feeling right now.

• Solves problems involving correlation analysis

Statistics & Probability​

Most Essential Learning Competency:

​

​Learning Objectives:

At the end of the lesson, the students should be able to:

1. recall their knowledge on scatter plots and correlation coefficient;

2. interpret the linear relationship between the variables of a bivariate data by examining its correlation coefficient;

3. solve problems involving correlation analysis; and

4. actively participate in the class discussion.

Home

Open in new tab

Copy link

​Correlation Coefficient

The Pearson’s sample correlation coefficient (also known as Pearson r), denoted by r, is a test statistic that measures the strength of the linear relationship between two variables.

​The correlation coefficient is a number between -1 and 1 that describes both the strength and the direction of correlation. In symbols, we write -1 ≤ r ≤ 1.

PISAY ELEVATE 2022 | Cluster 4 Demonstration Teaching | Jade Christyn Magaling

Correlation Scale - Google Jamboard

You can open this webpage in a new tab.

Copy link

Open in new tab

Scenario: Filipino employees are known for being persistent and hardworking. That is why they truly value every single cent of their salary. Here are some situations showing the relationship between the salary and spending of a Filipino employee.

Situation 1: There is a survey wherein the correlation coefficient r between salary and spending of employee was found to be 0.97.​

​

PISAY ELEVATE 2022 | Cluster 4 Demonstration Teaching | Jade Christyn Magaling

PISAY ELEVATE 2022 | Cluster 4 Demonstration Teaching | Jade Christyn Magaling

Multiple Choice

r = 0.97.

Interpretation: ​There is a _____ correlation between salary and spending of employees.

• weak negative

• strong negative

• weak positive

• strong positive

Scenario: Filipino employees are known for being persistent and hardworking. That is why they truly value every single cent of their salary. Here are some situations showing the relationship between the salary and spending of a Filipino employee.

Situation 2: In another survey, the correlation coefficient r between salary and spending of employee was found to be -0.19.​

PISAY ELEVATE 2022 | Cluster 4 Demonstration Teaching | Jade Christyn Magaling

Multiple Choice

r = -0.19​

Interpretation: ​There is a _____ correlation between salary and spending of employees.

• weak negative

• strong negative

• weak positive

• strong positive

Try This! A Mathematics teacher is interested in finding out if critical and scientific thinking exists among students who are good in Mathematics and Science. Thus, he conducted research and gathered scores of his respondents in Math and Science. The following data have been obtained:

PISAY ELEVATE 2022 | Cluster 4 Demonstration Teaching | Jade Christyn Magaling

PISAY ELEVATE 2022 | Cluster 4 Demonstration Teaching | Jade Christyn Magaling

Using the given data, calculate the Pearson’s sample correlation coefficient. After obtaining Pearson’s r, analyze and interpret the result.

Home

Open in new tab

Copy link

Your Turn!

Read the following situation. Using the given data, calculate the Pearson’s sample correlation coefficient. After obtaining Pearson’s r, analyze and interpret the result.

The table shows the data obtained from six students of Mapalad Integrated High School in a study about the number of hours a student exercises each week and the score s/he gets in a test.

PISAY ELEVATE 2022 | Cluster 4 Demonstration Teaching | Jade Christyn Magaling

Read the following situation. Using the given data, calculate the Pearson’s sample correlation coefficient. After obtaining Pearson’s r, analyze and interpret the result.

A group of Senior High School students is conducting collaborative research and they want to determine whether there is a correlation between the age of tricycles (in years) in a certain city and the mileage it runs (in kilometers). The data are shown below.

PISAY ELEVATE 2022 | Cluster 4 Demonstration Teaching | Jade Christyn Magaling

PISAY ELEVATE 2022 | Cluster 4 Demonstration Teaching | Jade Christyn Magaling

#YesYouCan

Multiple Choice

Which of the following Pearson coefficients is considered having the strongest positive correlation?

• -0.93

• -0.81

• 0.58

• 0.75

Multiple Choice

A recent study was conducted in school and it was found out that as a student’s number of absences increase, the academic performance tends to decline. Which of the following values of r is appropriate to represent the correlation of the variables in the given statement?

• -0.48

• 0

• 0.15

• 1

Multiple Choice

Researchers found out that the correlation coefficient r between the number of hours people watch television and their body weight was nearly 0. Which of the following best describes the result?

• The longer time a person watches television, the more s/he gains weight.

• The longer time a person watches television, the more s/he loses weight.

• The less time a person watches television, the more s/he gains weight.

• There is no relationship between the number of hours watching television and weight of a person.

CORRELATION ANALYSIS

Statistics & Probability

PISAY ELEVATE 2022 | Cluster 4 Demonstration Teaching | Jade Christyn Magaling

Thank you!