Question

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?

Answer #1

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 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 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...

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.

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 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...

Suppose you are interested in the population of all
elementary school students in Missoula County. Suppose
also that we collect information from a (non-random) sample of 30
elementary school students at a particular elementary school.
Identify each of the following as either a parameter or statistic.
Also include the appropriate corresponding symbol used to denote
it.
The average score received on a standardized math test by the
30 students sampled.
The proportion of elementary school students in Missoula County
participating...

10. The grade distribution of a Basic English course in a high
school (total 3500 students) is normally distributed with its mean,
3.2 and standard deviation, 0.61. 1) If a student is randomly
selected, find the probability that the student’s score is higher
than 3.0?2) If you collect a sample of 30 students, what is the
probability that the sample mean is less than 3.0?

A study was conducted to determine whether a final grade of a
student in an introductory psychology course is linearly related to
his or her performance on the verbal ability test administered
before college entrance. The verbal scores and final grades for 10
students are shown in the table below.
Student
Verbal Score xx
Final Grade yy
1
51
62
2
27
36
3
54
63
4
50
56
55
62
76
66
48
56
7
35
40
8
61...

The quality of the elementary school teachings is very
important, and the effectiveness of teaching can be shown by the
students’ performance on the standardized test. The state requires
that the average score of the 5th grade students from
each school need to be at least 75. If any school’s average score
is below 75, the school will be investigated further to ensure
their quality of teaching. For School A, 20 5th grade
students are randomly selected to take the...

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