14 Achievement Tests The Academic PerformanceIndex (API) is a measure of school achievement based on the results of the Stanford 9 Achievement test Scores range from 200 to 1000, with 800 considered a long range goal for schools The following table shows the API (y) for eight elementary schools, along with the percent of students (x) at each school who are considered English Learners (EL) a Use a scatterplot to plot the data Is the assumption of a linear relationship between x and y reasonable b Assuming that x and y are linearly related, calculate the least squares regression line c Plot the line on the scatterplot in part a Does the line fit through the data points d Construct the ANOVA table for the linear regression School 1 2 3 4 5 6 7 8 745 808 798 791 854 688 801 751 EL 71 18 24 50 17 71 11 57

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Question: 14. Achievement Tests The Academic PerformanceIndex (API) is a measure of school achievement based on the results of the Stanford 9 Achievement test. Scores range

14. Achievement Tests The Academic PerformanceIndex (API) is a measure of school achievement based on the results of the Stanford 9 Achievement test. Scores range from 200 to 1000, with 800 considered a long-range goal for schools. The following table shows the API (y) for eight elementary schools, along with the percent of students (x) at each school who are considered “English Learners” (EL).

School 1 2 3 4 5 6 7 8 745 808 798

a. Use a scatterplot to plot the data. Is the assumption of a linear relationship between x and y reasonable?

b. Assuming that x and y are linearly related, calculate the least-squares regression line.

c. Plot the line on the scatterplot in part

a. Does the line fit through the data points?

d. Construct the ANOVA table for the linear regression.

School 1 2 3 4 5 6 7 8 745 808 798 791 854 688 801 751 EL 71 18 24 50 17 71 11 57

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