Direction: Complete the missing values on the table and compute for the answers on a separate sheet of paper. (For easier computation, use a scientific calculator.) 1. Survey tests on leadership skills and self-concept were given to student leaders. Both tests used a 10-point Likert scale with 10 indicating the highest scores for each test. The table below contains scores of the student-leaders on the tests. What is the leadership skill of a student-leader whose self-concept is 1.57 Self-concept (x) Leadership skill (y) xy 9.5 9.2 87.40 9.2 8.8 84.64 6.3 7.3 45.99 4.1 3.4 16.81 5.4 6.0 32.4 8.3 7.8 68.89 7.8 8.8 68.64 6.8 7.0 46.24 5.6 6.5 36.40 7.1 8.3 50.41 Substitute the solved values to the formula for finding the slope and y-intercept of the regression equation. n=10 Solving for slope: Solving for y-intercept: Therefore, the regression equation is From the regression equation, we can now predict the leadership skill scores given the self-concept score. If a student-leader got a score of 1.5 on the self-concept, then x = 1.5. Solution: Therefore,PERFORMANCE TASK : Solve It for Me! Direction: Read the following situations. Using each data, calculate the Pearson's sample correlation coefficient. After obtaining Pearson's r, analyze and interpret the result. Write your solution on a separate sheet. 1. 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. Student Hours (X) Score (Y) A 25 B 2 5 C 3 20 D 4 40 E 5 25 F 6 9 2. 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. Age of a tricycle, in yrs (X) 0.5 1.5 2 3 4 Mileage, in km/liter (Y) 16 14 10 12 10 12