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

PEER REPLY 1: Choose a classmate's Main Post and review their decision making process. 1. Choose a risk level for each of the states of nature (assign a probability value to each). 2. Explain why each risk level is chosen. 3. Which alternative do you believe would be the best based on the maximum EMV? 4. Do you feel determining the expected value with perfect information (EVWPI) is worthwhile in this situation? Why or why not?

Questions An insurance company's cumulative incurred claims for the last 5 accident years are given in the following table: Development Year Accident Year 0 2018 1 2 3 4 245 267 274 289 292 2019 255 276 288 294 2020 265 283 292 2021 263 278 2022 271 It can be assumed that claims are fully run off after 4 years. The premiums received for each year are: Accident Year Premium 2018 306 2019 312 2020 318 2021 326 2022 330 You do not need to make any allowance for inflation. 1. (a) Calculate the reserve at the end of 2022 using the basic chain ladder method. (b) Calculate the reserve at the end of 2022 using the Bornhuetter-Ferguson method. 2. Comment on the differences in the reserves produced by the methods in Part 1.

You are provided with data that includes all 50 states of the United States. Your task is to draw a sample of: o 20 States using Random Sampling (2 points: 1 for random number generation; 1 for random sample) o 10 States using Systematic Sampling (4 points: 1 for random numbers generation; 1 for random sample different from the previous answer; 1 for correct K value calculation table; 1 for correct sample drawn by using systematic sampling) (For systematic sampling, do not use the original data directly. Instead, first randomize the data, and then use the randomized dataset to draw your sample. Furthermore, do not use the random list previously generated, instead, generate a new random sample for this part. For more details, please see the snapshot provided at the end.) Upload a Microsoft Excel file with two separate sheets. One sheet provides random sampling while the other provides systematic sampling. Excel snapshots that can help you in organizing columns are provided on the next…

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