Question

In: Statistics and Probability

The National Assessment for Educational Progress (NAEP) is a U.S. government organization that assesses the performance...

The National Assessment for Educational Progress (NAEP) is a U.S. government organization that assesses the performance of students and schools at all levels across the United States. The following table presents the percentage of eighth-grade students who were found to be proficient in mathematics, and the percentage who were found to be proficient in reading in each of the ten most populous states.

State

Percentage proficient in Reading

Percentage proficient in Mathematics

California

60

59

Texas

73

78

New York

75

70

Florida

66

68

Illinois

75

70

Pennsylvania

79

77

Ohio

79

76

Michigan

73

66

Georgia

67

64

North Carolina

71

73

a. Identify the explanatory variable (x) and the response variable (y).

Explanatory variable:

Response variable

b. Use your calculator to find the correlation coefficient ?. Based on the correlation coefficient, what can you say about the association between proficiency in reading and proficiency math?

? =

c. State the least squares regression line ?̂. (Use your calculator)

d. Within the context of the problem give an interpretation of the intercept of ?̂.

e. Find the best predicted percentage proficiency in Math for a student who has a proficiency of 70 percent in Reading.

Solutions

Expert Solution

a)

Explanatory variable:   Percentage proficient in Reading

Response variable : Percentage proficient in Mathematics

b) Correlation Coefficient:

c) Regression equation:

d) Slope = 0.8226 which is >0 therefore there is positive correlation between percentage proficiency in Math and Percentage proficient in Reading

i.e. As Percentage proficient in Reading increases 1 unit of time, percentage proficiency in Math is also increased by 0.8226.

Intercept: 11.0358

If Percentage proficient in Reading is zero then percentage proficiency in Math will be 11.0358

but this interpretation is meaningless since Zero is not in Percentage proficient in Reading variable of the data

e) The best predicted percentage proficiency in Math for a student who has a proficiency of 70 percent in Reading is


Related Solutions

The National Assessment for Educational Progress (NAEP) is a U.S. government organization that assesses the performance...
The National Assessment for Educational Progress (NAEP) is a U.S. government organization that assesses the performance of students and schools at all levels across the United States. The following table presents the percentage of eighth-grade students who were found to be proficient in mathematics, and the percentage who were found to be proficient in reading in each of the ten most populous states. state Percentage proficient in reading percentage proficient in mathematics California 60 59 Texas 66 78 New york...
The National Assessment of Educational Progress (NAEP) is an assessment of student learning that involves samples...
The National Assessment of Educational Progress (NAEP) is an assessment of student learning that involves samples of students from every state. Scores are reported in four performance categories: Below Basic, Basic, Proficient, and Advanced. A researcher wanted to know if there was a relationship between state of residence and performance on NAEP. The researcher obtained the following data from the NAEP website. (You do not have to do follow up procedure.) State Below Basic Basic Proficient Advanced VA 360 1200...
The National Assessment of Educational Progress (NAEP) gave a test of basic arithmetic and the ability...
The National Assessment of Educational Progress (NAEP) gave a test of basic arithmetic and the ability to apply it in everyday life to a sample of 840 men 21 to 25 years of age. Scores range from 0 to 500; for example, someone with a score of 325 can determine the price of a meal from a menu. The mean score for these 840 young men was x⎯⎯⎯x¯ = 272. We want to estimate the mean score μμ in the...
The National Assessment of Educational Progress (NAEP) includes a mathematics test for eighth‑grade students. Scores on...
The National Assessment of Educational Progress (NAEP) includes a mathematics test for eighth‑grade students. Scores on the test range from 0 to 500 . Demonstrating the ability to use the mean to solve a problem is an example of the skills and knowledge associated with performance at the Basic level. An example of the knowledge and skills associated with the Proficient level is being able to read and interpret a stem‑and‑leaf plot. In 2015, 136,900 eighth‑graders were in the NAEP...
answer all 3 for best answer 1.The National Assessment of Educational Progress (NAEP) includes a mathematics...
answer all 3 for best answer 1.The National Assessment of Educational Progress (NAEP) includes a mathematics test for eighth-graders. Scores on the test range from 0 to 500. Suppose that you give the NAEP test to an SRS of 1225 eighth-graders from a large population in which the scores have mean μ = 281 and standard deviation σ = 129. The mean x will vary if you take repeated samples. The sampling distribution of x is approximately Normal. It has...
4. The National Assessment of Education Progress (NAEP) tested a sample of students who had used...
4. The National Assessment of Education Progress (NAEP) tested a sample of students who had used a computer in their mathematics classes and another sample of students who had not used a computer. The sample mean score for students using the computer was 309 with a sample standard deviation 29. For students not using computer, the sample mean was 303 and sample standard deviation was 32. Assume there were 60 students in the computer sample and 40 students in the...
4. The National Assessment of Education Progress (NAEP) tested a sample of students who had used...
4. The National Assessment of Education Progress (NAEP) tested a sample of students who had used a computer in their mathematics classes and another sample of students who had not used a computer. The sample mean score for students using the computer was 309 with a sample standard deviation 29. For students not using computer, the sample mean was 303 and sample standard deviation was 32. Assume there were 60 students in the computer sample and 40 students in the...
Every few years, the National Assessment of Educational Progress asks a national sample of eighth-graders to...
Every few years, the National Assessment of Educational Progress asks a national sample of eighth-graders to perform the same math tasks. The goal is to get an honest picture of progress in math. Suppose these are the last few national mean scores, on a scale of 0 to 500 . Year 1990 1992 1996 2000 2003 2005 2008 2011 2013 Score 263 266 272 273 277 278 280 286 288 (a) Make a time plot of the mean scores, by...
A national organization that promotes good local government management (ICMA) is interested if a city’s region...
A national organization that promotes good local government management (ICMA) is interested if a city’s region is related to privatized waste collection. Privatized                     Government EAST 20                                40 WEST 10                               30 SOUTH 30                             40 1. Provide null and alternative hypotheses in formal terms and layperson's terms for the chi-square two sample test. 2. Do the math and reject/accept at a=.05 3. Explain the results in layperson's terms
Can the U.S. Federal Government go broke as a result of its huge national debt?
Can the U.S. Federal Government go broke as a result of its huge national debt?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT