23:49 6.00 KB/S 26 11 44 Quarter: 4 Week: 7 MELC(s): 1. Calculates the Pearson's sample correlation coefficient (M11/12SP-IVh-2); and 2. Solves problems involving correlation analysis (M11/12SP-IVh-3) > Title of Textbook/LM to Study: Statistics and Probability > Chapter: _5_Pages: 220-246 Topic: Correlation and Regression Objectives: 1. To define correlation analysis. 2. To identify the strength and direction of correlation. 3. To calculate the Pearson's sample correlation coefficient r. 4. To solve problems involving correlation analysis. Let Us Discover This Simplified Self-Learning Module (SSLM) will help you understand how to calculate the Pearson's sample correlations coefficient and solve problems involving correlation analysis. Correlation analysis is a statistical method used to determine whether a relationship between two variables exist. Direction of Correlation Graph of Correlation Description Coefficient . Positive Correlation exists when the value of one variable increases, the other value also increases. Likewise, as one variable decreases, the other variable also decreases. . Negative Correlation exists when the value of one variable increases and the other variable decreases or vice-versa. . Zero Correlation exists when high values in one variable corresponds to either high or low values in another variable. GSC-CID-LRMS-ESSLM, v.r. 02.00, Effective April 21, 2021 Strength of Correlation We will use the given table to determine the strength of the computed r. Pearson r Qualitative Description +1 Perfect +0.75 to 0 to > Let Us Try Activity 1. "r You With Me!" Calculate for r and interpret the result. X 2 4 6 10 8 10 12 6 16 Let Us Do Activity 2. "Call Me Maybe" O K23:50 0.03 KB/S 43 Let Us Do Activity 2. "Call Me Maybe" The data below shows the number of times a customer calls for a customer service in a mobile phone company versus the customer satisfaction rating, with 10 as the highest. Number of Calls (X) Satisfaction Rating (Y) 8 4 18 17 4 15 5 9 7 CI A C0 00 11 16 1. What is n? 2. The value of E X2 is equal to 3. What is the value of EXY? 4. What is the coefficient of r? 5. Using the value of r in item 4, what will best describe the correlation? GSC-CID-LRMS-ESSLM, v.r. 02.00, Effective April 21, 2021 Let Us Apply Activity 3. "Grades Be With You" You wanted to help your mathematics teacher to determine the strength of association between the student's Quarter 1(X) and Quarter 2(Y) grade in General Mathematics. You surveyed 10 Grade 11 students and gathered the data below. Quarter 1 (X) 79 85 84 89 89 91 90 92 93 95 Quarter 2 (Y) 80 82 79 83 89 91 89 90 94 95 Rubrics 10 7 4 1 The student shows The student shows The student shows some The student shows complete understanding of understanding of the understanding of the limited to no the problem; identifies, problem; identifies, problem; identifies, understanding of the relates, and uses all relates, and uses all relates, and uses all problem; fails to important components of important components of important components of identify, relate, or use the problem; performs the problem; performs the problem; performs important components computations completely computations that are computations that contain | of the problem; uses an and correctly but may take generally correct but may major computational | inappropriate strategy one minor error; and uses take some minor error; errors; and shows some | for solving the problem; an appropriate strategy and uses an appropriate evidence of a strategy to and attempts an that should lead to a strategy that should lead | solve a problem answer correct solution to a reasonable solution References Statistics and Probability Pages 220 - 246 SSLM Development Team E