Question

Suppose researchers want to know the effect of elementary school class size on students’ math scores(total...

Suppose researchers want to know the effect of elementary school class size on students’ math scores(total score is 100), intuitively they think there exists a negative linear relationship between class size and students’ math scores. The researchers want to know the marginal effect of class size on student’s math scores.

Suppose you can construct a sample that includes 4 second grade students in different elementary schools. Data have been collected on each students’ name, gender, class size( total number of students in the class) and final math scores. ID Name Gender Class size Math scores 1 Andy Female 23 80 2 Alice Female 16 89 3 Bella Female 20 84 4 Mike Male 25 71

If a kid will become a second grade student in an elementary school in NJ, and the class size will be 22, can you predict the student’s final math score?

Homework Answers

Answer #1

Suppose, random variables X and Y denote class size and final math score respectively of second grade student.

We know, Regression equation of y on x is given by

Number of pairs of observation

For a kid of second grade in an elementary school in NJ with class size 22 we have,

Predicted final math score of that kid is given by

Hence, predicted final math score is 79 for a kid who will become a second grade student in an elementary school in NJ with class size 22.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Suppose researchers want to know the effect of elementary school class size on students’ math scores(total...
Suppose researchers want to know the effect of elementary school class size on students’ math scores(total score is 100), intuitively they think there exists a negative linear relationship between class size and students’ math scores. The researchers want to know the marginal effect of class size on student’s math scores. Suppose you can construct a sample that includes 4 second grade students in different elementary schools. Data have been collected on each students’ name, gender, class size( total number of...
Suppose researchers want to know the effect of elementary school class size on students’ math scores(total...
Suppose researchers want to know the effect of elementary school class size on students’ math scores(total score is 100), intuitively they think there exists a negative linear relationship between class size and students’ math scores. The researchers want to know the marginal effect of class size on student’s math scores. 1) Based on the background information, design an linear regression model for this research question, and briefly explain your dependent variable, independent variable and the meaning of the parameters.
Suppose you can construct a sample that includes 4 second grade students in different elementary schools....
Suppose you can construct a sample that includes 4 second grade students in different elementary schools. Data have been collected on each students’ name, gender, class size( total number of students in the class) and final math scores. With data available, calculate all estimators of your model step by step. Note: You need to show how you calculate with details. ( CALCULATE MANUALLY, NOT WITH A SOFTWARE) ID   Name Gender.   Class size.   Math scores 1   Andy. Female. 23   80 2...
If a kid will become a second grade student in an elementary school in NJ, and...
If a kid will become a second grade student in an elementary school in NJ, and the class size is 22, can you predict the student’s final math score?
CLASSICAL LINEAR REGRESSION MODEL Suppose you can construct a sample that includes 4 second grade students...
CLASSICAL LINEAR REGRESSION MODEL Suppose you can construct a sample that includes 4 second grade students in different elementary schools. Data have been collected on each students’ name, gender, class size( total number of students in the class) and final math scores. With data available, calculate all estimators of your model step by step. Note: You need to show how you calculate with details, IN EXCEL ID Name Gender Class MathScores 1 John M 23 80 2 Bella F 16...
CLASSICAL LINEAR REGRESSION MODEL Suppose you can construct a sample that includes 4 second grade students...
CLASSICAL LINEAR REGRESSION MODEL Suppose you can construct a sample that includes 4 second grade students in different elementary schools. Data have been collected on each students’ name, gender, class size( total number of students in the class) and final math scores. With data available, calculate all estimators of your model step by step. Note: You need to show how you calculate with details. ID Name Gender Class MathScores 1 John M 23 80 2 Bella F 16 89 3...
In an observational study involving a random sample of 1,000 high school students, researchers noted that...
In an observational study involving a random sample of 1,000 high school students, researchers noted that students who participated in elementary school music programs scored higher on math exams in later grades than students who did not participate in elementary school music programs. We would not want to conclude that participating in an elementary school music program causes higher math exam scores because A. everyone knows music has absolutely nothing to do with math. B. there are lurking variables that...
You are a school psychologist interested in whether a new educational program, Go4It, improves SAT scores...
You are a school psychologist interested in whether a new educational program, Go4It, improves SAT scores in senior high school students. After implementing the educational program in an SAT course at Park High School, you obtain the students’ SAT scores (n = 10). You want to know whether SAT scores from your sample of students, who were enrolled in the Go4It program, are different from the population of SAT scores. You have access to SAT scores for all senior high...
There are two reflective essays from MED students during their third year internal medicine clerkship. One...
There are two reflective essays from MED students during their third year internal medicine clerkship. One student sees each connection to a patient as like the individual brush strokes of an artist and the other sees gratitude in a patient with an incurable illness and is moved to gratitude in her own life. (WORD COUNT 500) Reflect on both essays and then choose one and describe how the student grew from the experience. Then explain what you learned as a...