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III. Performance Task. Encircle the letter of the best answer. (10 points) Refer on the situation below. A researcher wants to know the relationship on how much the savings of a household depends on their monthly income. Data was collected from 10 households. Both savings and income are reported in thousands of P in the following table. Income 19 16 14 17 25 27 35 39 22 50 Savings 4 3 2 3.5 4.9 6 4 8.6 5.5 10 1. Plot the data in this study on a scatter plot. Describe the association of the variables based on its form. a. no association b. linear association C. nonlinear association d. strong association 2. What is the independent variable of the study? a. amount of savings b. amount of income c. number of households d. number of pesos 3. Solve for the Pearson's correlation coefficient. a. -0.89 b. -0.43 C. 0.43 d. 0.89 4. Describe the correlation between the amount of income to the amount of savings in a household. very strong positive b. moderate positive C. moderate negative d. very strong negative correlation correlation correlation correlation 5. Compute for the mean of the independent variable and dependent variable respectively. a. x = 2.5 and y = 11.63 b. x = 5.15 and y = 26.4 c. x = 26.4 andy =5.15 d. x = 11.63 and y = 2.5 6. Compute for the standard deviation of the independent variable and dependent variable respectively. a. Sx = 2.5 and sy = 11.63 b. Sx = 5.15 and sy = 26.4 c. Sx = 26.4 and sy = 5.15 d. Sx = 11.63 and sy = 2.5 7. Solve for the slope of the regression line. a. 0.17 b. 0.19 c. 4.14 d. 4.56 8, Solve for the y-intercept of the regression line. a. 0.13 0.29 c. 11.15 d. 25.42 9. Is it reliable to use the equation of the regression line to predict the amount a household saves if you know the amount of income they earn? a. Yes, because the b. Yes, because the eq. of c. No, because the slope d. No, because the mean correlation coefficient the regression line is close to a straight of "x" is higher than is higher than 0.50. can be solved. line. the mean of "y". 10. If the regression line is reliable, predict the amount of savings a household have if they earn P30,000 a month. a. 5700.13 b. 5,830.00 C. 6,347.03 d. It is not reliable