2023 Math 1016 Project Phases F23
.docx
keyboard_arrow_up
School
Kean University *
*We aren’t endorsed by this school
Course
2
Subject
Mathematics
Date
Jan 9, 2024
Type
docx
Pages
3
Uploaded by SargentRam13665
Math 1016 Statistics Project
Choose a topic related to your major.
Pick two quantitative variables (for example hours of study per week and GPA)
Pick one qualitative variable that has at least three values that you think have an
impact on your quantitative variables (freshman, sophomore, junior, senior)
What is your population?
How will you collect your sample (data)?
Submit the above to your professor for approval.
Collect your data.
Enter your data into StatCrunch (make sure it is saved and you remember your data
set name.)
Submit a copy of your StatCrunch data to your professor.
Project Phase 1: Correlation and Regression (15 pts)
1)
Describe your independent and dependent variables (2 pts)
2)
Describe your qualitative variables (1 pt)
3)
What relationship do you believe exists between your independent variable and dependent
variable? (1 pt)
Using StatCrunch (directions will be given in class) run the regression analysis.
4)
What is the value of the correlation coefficient?
Describe its meaning in terms of your
variables.
(2 pts)
5)
What is the value of the coefficient of determination?
Describe it in terms of your variables.
(2 pts)
6)
What is the equation of the regression line.
Be sure to use your variable names. (2 pts)
7)
Using one of your independent variable values, calculate the predicted value of your
dependent variable based on your regression equation. (1 pt)
8)
Compare the actual and predicted values. (1 pt)
9)
Using a value that falls in the range of your independent variable but is NOT an actual value,
calculate the predicted value of your dependent variable. (1 pt)
10) Include a copy scatterplot (with line of best fit) and Regression Analysis table from
StatCrunch (2 pts)
Project Phase 2: Confidence Interval (15 points)
Select one of your quantitative variables (usually the dependent variable).
Using StatCrunch run a summary analysis (directions will be given in class)
1)
What are the mean and standard deviation of your variable (3 pts)
2)
Include the Summary Statistics table from StatCrunch. (2 pts)
Using StatCrunch run a confidence interval analysis (directions will be given in class).
3)
What is the 95% Confidence Interval of your variable. (3 points)
4)
Include the Confidence Interval table from StatCrunch or show your calculations. (2 pts)
5)
Describe the meaning of the confidence interval in terms of your variable. (3 pts)
6)
What is the margin of error of your variable? (2 pts)
Project Phase 3: Hypothesis Test (15 points)
1)
Use the same variable that was used for phase 2. Make a claim about the mean – this claim may
come from the internet. Later you will test this claim with your data in steps 4 - 8 (1 pt)
2)
Write both the null and alternative hypothesis. (2 pts)
3)
Which hypothesis is your claim? (1 pt)
Using StatCrunch run a hypothesis test (directions will be given in class).
4)
What are the values of the test statistic and the p value. (2 pts)
5)
Include the Hypothesis Test table from Statcrunch (1 pts)
6)
Is your p value less than the alpha value using alpha = .05.
(1 pts)
7)
Are you going to reject or fail to reject the null hypothesis?
(2 pts)
8)
Write your final conclusion using a complete sentence in reference to the context of your
problem (2 pts)
9)
Based on your answer to 7, what type of error is possible? (type 1 or 2)
(1 pt)
10)
Describe that possible error in term of your variable. (2 pts)
Project Phase 4: One Way ANOVA (15 points)
1)
State the populations being compared, the null and alternative hypothesis, and the claim. (3 pts)
Using StatCrunch run a hypothesis test (directions will be given in class).
2)
What are the values of the test statistic (F stat) and the P value. (3 pts)
3)
Include the ANOVA table from Statcrunch (3 pts)
4)
Is your p value less than the alpha value using alpha = .05.
(1 pts)
5)
Are you going to reject or fail to reject the null hypothesis?
(2 pts)
6)
Write your final conclusion using a complete sentence in reference to the context of your
problem (3 pts)
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help