Statistics and Probability Module: Interpreting the Calculated Slope and Y-Intercept of the Regression Line

This Self-Learning Module (SLM) is prepared so that you, our dear learners, can continue your studies and learn while at home. Activities, questions, directions, exercises, and discussions are carefully stated for you to understand each lesson.

Each SLM is composed of different parts. Each part shall guide you step-by-step as you discover and understand the lesson prepared for you.

Pre-tests are provided to measure your prior knowledge on lessons in each SLM. This will tell you if you need to proceed on completing this module or if you need to ask your facilitator or your teacher’s assistance for better understanding of the lesson. At the end of each module, you need to answer the post-test to self-check your learning. Answer keys are provided for each activity and test. We trust that you will be honest in using these.

Please use this module with care. Do not put unnecessary marks on any part of this SLM. Use a separate sheet of paper in answering the exercises and tests. And read the instructions carefully before performing each task.

In the previous module, you started to learn about regression analysis specifically linear regression. You calculated the slope and y-intercept from given data values using statistical formulas. Furthermore, you found the equation of the regression line that shows relationships between an independent variable and a dependent variable.

This module will help you master how to interpret the calculated slope and y-intercept of a regression line. Also, you will learn to make interpretations based on real-life scenarios typical in statistics problems and research applications. Then, you will progress to formulating predictions about dependent variables based on independent variables.

After going through this module, you are expected to:

1. determine the relationship between variables based on the slope;

2. interpret the computed slope and y-intercept of the regression equation; and

3. realize the relevance of the y-intercept based on given situations.

Before you proceed to the lesson, make sure to answer first the questions in the next page (What I Know).

Statistics and Probability Quarter 4 Self-Learning Module: Interpreting the Calculated Slope and Y-Intercept of the Regression Line


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