Introductory Statistics
Introductory Statistics
3rd Edition
ISBN: 9780135188927
Author: Gould, Robert, Ryan, Colleen N. (colleen Nooter)
Publisher: Pearson,
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Chapter 14, Problem 1SE

Predicting Test Scores A professor tells his class that he knows their second exam score without their having to take the test. He tells them that the second exam score can be predicted from the first with this equation:

Predicted second exam score = 5 + 0.75 (first exam score)

This tells us that the deterministic part of the regression model that predicts second exam score on the basis of first exam score is a straight line. What factors might contribute to the random component? In other words, why might a student’s score not fall exactly on this line?

Expert Solution & Answer
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To determine

Explain the factors that contribute to the student’s score, to not fall exactly on the regression line.

Explanation of Solution

A professor tells his students that he can predict the scores of the students from their first exam scores using the calculated regression line.

There may be chances that the predicted second exam scores do not fall on the regression line due to some random factors.

The amount of time the student spent on the study.

The level of difficulty of the question paper and familiarity with the type of questions

Psychological and physical condition of the candidate (depression, confidence level, sleeplessness, illness etc.) during exam.

Disturbance in the exam hall.

There may be many such factors, which affect the student’s score in the second exam.

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Chapter 14 Solutions

Introductory Statistics

Ch. 14 - Salaries Figure A shows a scatterplot of the...Ch. 14 - Prob. 12SECh. 14 - Wages of Twins Figure A shows a scatterplot of...Ch. 14 - Simulated Data Figure A shows a scatterplot of...Ch. 14 - Prob. 15SECh. 14 - Movie Budgets Do movies with bigger budgets tend...Ch. 14 - Education of Parents (Example 7) Each of 29...Ch. 14 - Education of Parents Refer to exercise 14.17 and...Ch. 14 - Student and Parent Heights A random sample of 29...Ch. 14 - Trash The weight of trash (in pounds) produced by...Ch. 14 - Prob. 21SECh. 14 - Prob. 22SECh. 14 - Trash and Confidence Intervals The output provided...Ch. 14 - Movie Budgets In exercise 14.16 you examined the...Ch. 14 - Predicted GPA A student who has been accepted by...Ch. 14 - Used BMWs A used-car dealer is purchasing 50 used...Ch. 14 - Predicted Height (Example 9) A mother wants to...Ch. 14 - Predicted GPA A dean of students at a college...Ch. 14 - Loggers A logging company has the diameter of each...Ch. 14 - Prob. 30SECh. 14 - House Prices (Example 10) Figure A contains the...Ch. 14 - Math SAT Score and GPA Figure A shows information...Ch. 14 - Height and Weight A scatterplot of the heights and...Ch. 14 - Waist Size and Weight A scatterplot of the waist...Ch. 14 - GPA and SAT The figure shows 95#37; prediction...Ch. 14 - Shoes and Heights The scatterplot shows shoe size...Ch. 14 - Height and Weight A scatterplot of the heights and...Ch. 14 - Waist Size and Weight A scatterplot of the waist...Ch. 14 - Baseball Players Figure A shows a scatterplot with...Ch. 14 - Predicting Education Figure A shows a scatterplot...Ch. 14 - Life Expectancy and Gestation Periods for Animals...Ch. 14 - Prob. 42CRE

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