Achievement Tests The AcademicPerformance Index (API) is a

Chapter 12, Problem 13

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Achievement Tests The AcademicPerformance Index (API) is a measure of schoolachievement based on the results of the Stanford 9Achievement test. Scores range from 200 to 1000,with 800 considered a long-range goal for schools. Thefollowing table shows the API for eight elementaryschools in Riverside County, California, along with thepercent of students at that school who are consideredEnglish Learners (EL).3School 1 2 3 4 5 6 7 8API 745 808 798 791 854 688 801 751EL 71 18 24 50 17 71 11 57a. Which of the two variables is the independent variableand which is the dependent variable? Explainyour choice.b. Use a scatterplot to plot the data. Is the assumptionof a linear relationship between x and yreasonable?c. Assuming that x and y are linearly related, calculatethe least-squares regression line. d. Plot the line on the scatterplot in part b. Does theline fit through the data points?

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