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?

Question

Want to see more full solutions like this?

Answer 1

Textbook Question

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

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.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Students have asked these similar questions

17. Suppose that X1, X2,..., Xn are random variables, such that E|xk| < ∞ for all k, and set Yn = max1

6. Show that, for any random variable, X, and a > 0, L P(x < X ≤ x+a) dx = a. 2015

15. This problem extends Problem 20.6. Let X, Y be random variables with finite mean. Show that (P(X ≤ x ≤ Y) - P(Y < x ≤ X))dx = E Y — E X.

Answer 2

Textbook Question

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

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.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Textbook Question

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

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.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Textbook Question

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

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.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution & Answer

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.

Answer 8

Expert Solution & Answer

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.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

To determine

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

Answer 12

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.

Answer 13

Ch. 14 - Predicting Test Scores A professor tells his class...Ch. 14 - Used-Car Values A student wishes to buy a used...Ch. 14 - Height and Age (Example 1) A doctor says he can...Ch. 14 - Units and Semesters The registrar at a small...Ch. 14 - Prob. 5SE Ch. 14 - Prob. 6SE Ch. 14 - Prob. 7SE Ch. 14 - Prob. 8SE Ch. 14 - Semesters and Credits (Example 4) Figure A shows a...Ch. 14 - Prob. 10SE

Concept explainers

Videos

Explanation of Solution

Want to see more full solutions like this?

Chapter 14 Solutions

Additional Math Textbook Solutions