K The accompanying table shows the 4th-grade reading and math scores for a sample of states from the National Assessment of Educational Progress. The scores represent the percentage of 4th-graders each state who scored at or above basic level in reading and math. A scatterplot of the data suggests a linear trend. Complete parts (a) through (c) below. Click the icon to view the data for the reading and math scores. a. Find and report the value for the correlation coefficient and the regression equation for predicting the math score from the reading score. Use the words Reading and Math in the regression equati find the predicted math score for a state with a reading score of 79. The correlation coefficient is (Round to three decimal places as needed.) Find the regression equation. Predicted Math = + Reading (Round to two decimal places as needed.) Find the predicted math score for a state with a reading score of 79. The predicted math score is (Round to the nearest whole number as needed.) b. Find and report the value for the correlation coefficient and the regression equation for predicting the reading score from the math score. Then find the predicted reading score for a state of 79. The correlation coefficient is (Round to three decimal places as needed.) Find the regression equation. Predicted Reading = + Math (Round to two decimal places as needed.) Time Remaining ows the 4th-grade re above basic level in e data for the readi Reading and Math Scores sessment of Educational P Complete parts (a) throu For the correlation c for a state with a r TUT Reading Scores 73 Math Scores 81 from the reading score. 66 77 69 79 70 83 es as needed.) 56 71 71 80 74 89 Reading 74 87 as needed.) 63 73 67 81 for a state with a 70 81 63 73 umber as needed 68 76 61 73 re from the math sco r the correlation c 61 73 80 87 ] 62 79 s as needed.) 72 81 56 71 74 79 Math as needed.) Print Done The correlation coefficient is Progress. The scores represent the percentage of 4th-graders in Jata suggests a linear trend. Complete parts (a) through (c) below. for the reading and math scores. (Round to three decimal places as needed.) Find the regression equation. Predicted Reading = + ( Math (Round to two decimal places as needed.) Find the predicted reading score for a state with a math score of 79. The predicted reading score is (Round to the nearest whole number as needed.) c. Discuss the effect of changing the choice of dependent and independent variable on the value of r and on the regression equation. Choose the correct answer below. OA. The correlation coefficient will not change, because the formula for the correlation coefficient does not depend on which variable is the dependent variable. The regression equation will change, because the formulas for the slope and intercept depend on which variable is the dependent variable. OB. The correlation coefficient will change, because the formula for the correlation coefficient depends on which variable is the dependent variable. The regression equation will change, because the formulas for the slope and intercept depend on the correlation coefficient. OC. The correlation coefficient will change, because the formula for the correlation coefficient depends on which variable is the dependent variable. The regression equation will not change, because formulas for the slope and intercept do not depend on which variable is the dependent variable. OD. The correlation coefficient will not change, because the formula for the correlation coefficient does not depend on which variable is the dependent variable. The regression equation will not chan because the formulas for the slope and intercept do not depend on which variable is the dependent variable. Time Remaining: 00:37:23