Statistics for Business and Economics (13th Edition)
13th Edition
ISBN: 9780134506593
Author: James T. McClave, P. George Benson, Terry Sincich
Publisher: PEARSON
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Textbook Question
Chapter 11, Problem 11.113ACI
FCAT scores and poverty. In the state of Florida, elementary school performance is based on the average score obtained by students on a standardized exam, called the Florida Comprehensive Assessment Test (FCAT). An analysis of the link between FCAT scores and sociodemographic factors was published in the Journal of Educational and Behavioral Statistics (Spring 2004). Data on average math and reading FCAT scores of third graders, as well as the percentage of students below the poverty level, for a sample of 22 Florida elementary schools are listed in the table below.
- a. Propose a straight-line model relating math score (y) to percentage (x) of students below the poverty level.
- b. Fit the model to the data using the method of least squares.
- c. Graph the least squares line on a
scatterplot of the data. Is there visual evidence of a relationship between the two variables? Is the relationship positive or negative? - d. Interpret the estimates of the y-intercept and slope in the words of the problem.
- e. Conduct a test (at α = .05) to determined math score (y) and percentage (x) below the poverty level are linearly related.
- f. Now consider a model relating reading score (y) to percentage (x) of students below the poverty level. Repeat parts a-e for this model.
- g. Consider the simple linear regression relating math score (y) to percentage (X) of students below the poverty level. Find and interpret the value of s for this regression.
- h. Consider the simple linear regression relating reading score (y) to percentage (X) of students below the poverty level. Find and interpret the value of s for this regression.
- i. Which dependent variable, math score or reading score, can be more accurately predicted by percentage (x) of students below the poverty level? Explain.
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Chapter 11 Solutions
Statistics for Business and Economics (13th Edition)
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