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The Iowa Tests of Educational Development Are Given Each Year

question 20

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The Iowa Tests of Educational Development are given each year to students around the country. Let x = the previous year's math scores and y = the current year's math scores for a sample of current sophomores who took the test both years. b = estimated slopw of the regression line = 0.9 a = estimated y intercept of the regression line = 35.0 ​
a) What is the equation of the estimated regression line?
b) On the graph below, sketch the estimated regression line using the information above. Be sure to label and scale your axes correctly. The Iowa Tests of Educational Development are given each year to students around the country. Let x = the previous year's math scores and y = the current year's math scores for a sample of current sophomores who took the test both years. b = estimated slopw of the regression line = 0.9 a = estimated y intercept of the regression line = 35.0 ​ a) What is the equation of the estimated regression line? b) On the graph below, sketch the estimated regression line using the information above. Be sure to label and scale your axes correctly. c) For a students with a score of 250 the previous year, what is the predicted score for the current year? d) What is the average difference in math score that is associated with a 10-point difference in the previous year's math score? e) The value of r<sup>2</sup> is 0.74; interpret r<sup>2</sup> in the context of this problem. f) The value of s<sub>e</sub> is 20.5. Interpret s<sub>e</sub> in the context of this problem.
c) For a students with a score of 250 the previous year, what is the predicted score for the current year?
d) What is the average difference in math score that is associated with a 10-point difference in the previous year's math score?
e) The value of r2 is 0.74; interpret r2 in the context of this problem.
f) The value of se is 20.5. Interpret se in the context of this problem.

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