Question
In: Statistics and Probability
A study of 60,000 college students (enrolled in 4-year programs) from around the U.S. looked at...
A study of 60,000 college students (enrolled in 4-year programs) from around the U.S. looked at the high school GPA for each student and their College GPA at the end of their first full year of college. The following summary statistics were recorded.
Avg(x) = 3.44, SDx = 0.66, Avg(y) = 3.25, SDy = 0.77, r = 0.6
where xj =HS GPA of the jth student and yj =FY GPA of the jth student.
Based on this data:
(a) Find the regression equation for predicting FY GPA from HS GPA.
Show the work you did to find the equation.
(b) Find the RMS error of regression for the regression you found in (a).
Show the work you did to find the RMS error.
(c) If Kelly had a 3.0 GPA in HS, what is Kelly's FY GPA predicted to be?
Explain your reasoning.
(d) Assuming that the scatter diagram for the GPA data is ''football-shaped", what is the probability that Kelly's FY GPA will be between 3.25 and 3.75?
Show your calculations, and state clearly what assumptions you are relying on to justify these calculations.
Solutions
orchestra answered 1 year agoRelated Solutions
A study of 60,000 college students (enrolled in 4-year programs) from around the U.S. looked at...
A study of 60,000 college students (enrolled in 4-year programs)
from around the U.S. looked at the high school GPA for each student
and their College GPA at the end of their first full year of
college. The following summary statistics were recorded.
Avg(x) = 3.44, SDx = 0.66, Avg(y) = 3.25, SDy = 0.77, r =
0.6
where xj =HS GPA of the jth student and
yj =FY GPA of the jth student.
Based on this data:
(a) Find...
There are 2567 students enrolled at a small college, with 2053 of them enrolled in a...
There are 2567 students enrolled at a small college, with 2053
of them enrolled in a sociology course.
In the sampling distribution of sample proportions of size 230,
above what proportion will 52% of all sample proportions be?
Select all answers that apply to your calculation below. Use the
z-table given below to answer the question:
z
0.00
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
-0.2
0.421
0.417
0.413
0.409
0.405
0.401
0.397
0.394
0.390
0.386
-0.1
0.460...
College students Suppose a recent study of 1,000 college students in the U.S. found that 8%...
College students Suppose a recent study of 1,000 college
students in the U.S. found that 8% of them do not use Facebook.
Which of the following describes the population for this
example?
-All College students in the US
-The 1000 college students who participated in the study
-all college students in the US who do not use facebook
-The 8% of college students who do not use facebook
Which of the following defines what is meant by a control group...
A study is conducted among first year undergraduate students in a US College of Nursing. From...
A study is conducted among first year undergraduate students
in a US College of Nursing. From a list of these students, every
10th student is selected for an interview. Which of the following
sampling strategies is being used?
a) Simple random sampling
b) Systematic sampling
c) Stratified random sampling
d) Cluster sampling
2. A study is conducted among first year nursing students in a
US College of Nursing. Students are first grouped according to the
state in which they lived...
Based on a recent study, roughly 14% of all college students in the U.S. are vegetarian...
Based on a recent study, roughly 14% of all college students in
the U.S. are vegetarian or vegan. In a sample of 310 stats students
at a particular university it was found that 13.8% are vegetarian
or vegan. Does the data provide evidence that the proportion of
students who are vegetarian or vegan in this university is lower
than the national figure?
3. During the 2019 NFL regular season, the winning team of each
game scored an average of 28.6...
A group of 100 of the 2,500 students enrolled in a college in natural sciences reveals...
A group of 100 of the 2,500 students enrolled in a college in
natural sciences reveals that 35 are 17 years old, 45 are 18 years
old, 10 are 19 years old, 6 are 20 years old, three are 21 years
old and one is 22 years old.
a)provide an estimate for the mean, variance and standard
deviation for the Age of the group.
b) Find the confidence interval with a
confidence bands
of 90% , 95% , and 99%...
QUESTION 4 You gather data from 28 parolees who are currently enrolled in job training programs...
QUESTION 4
You gather data from 28 parolees who are currently enrolled in
job training programs while on parole. You find that over the past
year, they have been cited an average of 3.2 times for technical
parole violations with a standard deviation of 1.2.
Using this information, construct a 99% confidence interval for
the overall mean technical violation rate for parolees who are
enrolled in job training programs. Round all answers to 2 decimal
points (0.00). Be sure to...
In 2010, 76.3% of college students enrolled in an education major were female. A sample of...
In 2010, 76.3% of college students enrolled in an education
major were female. A sample of students enrolled in an education
major in 2019 consisted of 115 females and 70 males.
Would this data be sufficient at the 0.01 level of significance to
conclude that the percentage of females enrolled in an education
major decreased from the 76.3%?
Use the P-Value Method of Testing.
In your work space below, you will need to have -
1. The null hypothesis, Ho...
An admissions director wants to estimate the mean age of all students enrolled at a college....
An admissions director wants to estimate the mean age of all
students enrolled at a college. The estimate must be within 1 years
of the population mean. Assume the population of ages is normally
distributed and the population standard deviation is 9.5 years.
Determine the minimum sample size required to construct a 80%
confidence interval for the population mean age. Determine the
minimum sample size required to construct a 95% confidence interval
for the population mean age. Which level of...
A college offers teaching in Math, English, Chemistry, and Biology. The number of students enrolled in...
A college offers teaching in Math, English, Chemistry, and
Biology. The number of students enrolled in each subject is listed
below. If the college can only afford to hire 19 teachers,
determine how many teachers should be assigned to each subject
using Jefferson's method.
(a)
Subject
Students Enrolled
Teacher to Assign
Math
370
English
265
Chemistry
105
Biology
80
(b) What modified divisor did you use?
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- In each of the following situations, develop a tentative plan for the client. List the various...
- MARGI sells different types of wine. Customers place orders to the most popular “Summer Wine” at...
- Java. If possible please put explanations for each line of code. Write a test program that...
- . Use the following information to calculate your company's expected return State Probability Return Boom 20%...
- You are considering the following two projects and can only take one. Your cost of capital...
- C++: Write a program that produces truth tables for the following compound propositions. Write the header...
- 1. What is the historical role of investment bankers ? Has this role changed ? Why...
ADVERTISEMENT