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Get Full Access to Statistics: Informed Decisions Using Data - 5 Edition - Chapter 14 - Problem 5
Get Full Access to Statistics: Informed Decisions Using Data - 5 Edition - Chapter 14 - Problem 5

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# ?First-Year College GPA Researchers at the College Board wanted to build a model that describes one’s first-year college GPA. The researchers obtained

ISBN: 9780134133539 240

## Solution for problem 5 Chapter 14

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Problem 5

First-Year College GPA Researchers at the College Board wanted to build a model that describes one’s first-year college GPA. The researchers obtained the following model: y  = 0.06x1 + 0.07x2 + 0.18x3 + 0.29x4

where y represents the z-score for first-year college grade point average (GPA)

x1 represents the z-score on the math portion of the SAT

x2 represents the z-score on the critical reading portion of the SAT

x3 represents the z-score on the writing portion of the SAT

x4 represents the z-score of the student’s high school grade point average (GPA)

Source: Kobrin, J., Sinharay, S., Haberman, S.J., & Chajewski, M. An Investigation of the Fit of Linear Regression Models to Data from an SAT Validity Study. College Board Research Report 2011–13.

(a) Suppose a student has a z-score of 1.52 on the math portion of the SAT. Explain what this result represents.

(b) What is the impact of a z-score of -1 for the student’s high school GPA?

(c) Interpret the slope coefficient for high school GPA

(d) The coefficient of determination for this model is 0.24. Interpret this value.

(e) The correlation coefficient between x2 and x3 is 0.71. What might this suggest?

(f) Predict the z-score for first-year college GPA if x1 = -0.54, x2 = 1.32, x3 = 0.98, and x4 = 0.36. Would we expect a student with these credentials to have an above or below average first-year college GPA?

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Step 1 of 5) First-Year College GPA Researchers at the College Board wanted to build a model that describes one’s first-year college GPA. The researchers obtained the following model: y = 0.06x1 + 0.07x2 + 0.18x3 + 0.29x4 where y represents the z-score for first-year college grade point average (GPA) x1 represents the z-score on the math portion of the SAT x2 represents the z-score on the critical reading portion of the SAT x3 represents the z-score on the writing portion of the SAT x4 represents the z-score of the student’s high school grade point average (GPA) Source: Kobrin, J., Sinharay, S., Haberman, S.J., & Chajewski, M. An Investigation of the Fit of Linear Regression Models to Data from an SAT Validity Study. College Board Research Report 2011–13. (a) Suppose a student has a z-score of 1.52 on the math portion of the SAT. Explain what this result represents. (b) What is the impact of a z-score of -1 for the student’s high school GPA (c) Interpret the slope coefficient for high school GPA (d) The coefficient of determination for this model is 0.24. Interpret this value. (e) The correlation coefficient between x2 and x3 is 0.71. What might this suggest (f) Predict the z-score for first-year college GPA if x1 = -0.54, x2 = 1.32, x3 = 0.98, and x4 = 0.36. Would we expect a student with these credentials to have an above or below average first-year college GPA

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##### ISBN: 9780134133539

This textbook survival guide was created for the textbook: Statistics: Informed Decisions Using Data, edition: 5. Since the solution to 5 from 14 chapter was answered, more than 232 students have viewed the full step-by-step answer. This full solution covers the following key subjects: . This expansive textbook survival guide covers 88 chapters, and 2422 solutions. The answer to “?First-Year College GPA Researchers at the College Board wanted to build a model that describes one’s first-year college GPA. The researchers obtained the following model: y = 0.06x1 + 0.07x2 + 0.18x3 + 0.29x4where y represents the z-score for first-year college grade point average (GPA)x1 represents the z-score on the math portion of the SATx2 represents the z-score on the critical reading portion of the SATx3 represents the z-score on the writing portion of the SATx4 represents the z-score of the student’s high school grade point average (GPA)Source: Kobrin, J., Sinharay, S., Haberman, S.J., & Chajewski, M. An Investigation of the Fit of Linear Regression Models to Data from an SAT Validity Study. College Board Research Report 2011–13.(a) Suppose a student has a z-score of 1.52 on the math portion of the SAT. Explain what this result represents.(b) What is the impact of a z-score of -1 for the student’s high school GPA?(c) Interpret the slope coefficient for high school GPA(d) The coefficient of determination for this model is 0.24. Interpret this value.(e) The correlation coefficient between x2 and x3 is 0.71. What might this suggest?(f) Predict the z-score for first-year college GPA if x1 = -0.54, x2 = 1.32, x3 = 0.98, and x4 = 0.36. Would we expect a student with these credentials to have an above or below average first-year college GPA?” is broken down into a number of easy to follow steps, and 225 words. The full step-by-step solution to problem: 5 from chapter: 14 was answered by , our top Statistics solution expert on 01/15/18, 03:19PM. Statistics: Informed Decisions Using Data was written by and is associated to the ISBN: 9780134133539.

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