Reference no: EM131131346
alpha = .05 for this project.
1. Compare the different Sections (1, 2, and 3) of students in the Stat_Grades.sav dataset to determine if there is a statistically significant difference in the average Total Points between the different class sections. In other words, just like at Kaplan, there are different sections of the same class. The dataset Stat_Grades.sav has data from three sections of statistics classes. Be sure to state the hypothesis, state Ho and Ha, include and explain all SPSS results, and write final conclusions for the full results of the test. Include Post Hoc results and the plot. Be sure that your final conclusions are written in common terms for an average person to understand.
(a) What is the hypothesis being tested?
(b) What are Ho and Ha?
(c) What statistical test will you run - and include all the SPSS outputs (including the plot and post hoc)?
(d) Explain the full results for the statistical test that you ran above. Was a post hoc actually needed in this case? Why or why not? Does the Post Hoc confirm your results, explain? What does the plot tell you about the interaction, explain?
(e) Write a full conclusion for all results on this test in a way that can be understood by a non-statistical person. This answer will be at least 100 words or more.
2. Extend the hypothesis from number one above. Compare the different sections in the Stat_Grades.sav dataset and the genders to determine if there is a statistically significant difference in the average Total Points between the different sections and different genders. Be sure to state the hypothesis, state all Ho and Ha, include and explain all SPSS results, and write final conclusions for the full results of the test. Include Post Hoc results, note any interactions and whether they are significant, and include and explain the plot. Be sure that your final conclusions are written in common terms for an average person to understand.
(a) What is the hypothesis being tested?
(b) What are the set of Ho's and Ha's?
(c) What statistical test will you run - and include all the SPSS outputs (including the plot and post hoc)?
(d) Explain the full results of the statistical test you have run. Was a post hoc actually needed in this case? Why or why not? Does the Post Hoc confirm your test results, explain? What does the plot tell you about the interaction, explain?
(e) Write a full conclusion for all results on this test in a way that can be understood by a non-statistical person. This answer will be at least 100 words or more.
3. Prediction and Regression. If you recall from the Unit 3 Project, you looked at how to measure the relationship (correlation) between any two variables. You also learned that if two variables are strongly correlated (related) with each other, that one variable can be used to estimate or predict the other. The equation used to make this prediction is called a regression equation.
Use the following SPSS outputs to answer the questions. The two variables in this case are Quiz 4 and Total Points.
(a) What are the two variables that this question is investigating? Notice that the SPSS output above tells you that the r-value (called "R") is .775. Is this r-value strong enough to allow you to perform prediction between these two variables? Explain.
(b) Using the "Coefficients" SPSS output above, create the prediction equation. Remember that your independent or "x" variable is Quiz 4 and your dependent or "y" variable is Total Points. Write the prediction equation here.
(c) Using the prediction equation that you created in part (b), predict the Total Points for a student with a Quiz 4 score of 8. Show all work.
4. From the Stat_Grades.sav dataset, use Quiz 4 and Quiz 5 to answer these questions. The question you will be considering here as you answer the questions below is "Is the score on Quiz 4 highly correlated to the score on Quiz 5 and can one be used to estimate or predict the other?"
(a) What is the correlation or relationship (r-value) between Quiz 4 and Quiz 5? Is it weak, medium, or strong? Is it strong enough to use for prediction?
(b) Use SPSS and run a regression analysis on Quiz 4 and Quiz 5. Place the SPSS "Coefficients" output (only) here.
(c) Use the SPSS output to create the regression (prediction) equation. Remember, you are trying to predict how a student will perform on Quiz
5 based on how they do on Quiz 4. What is your dependent (y) variable? What is your independent (x) variable? Write the prediction equation here.
(d) Use your prediction equation to predict how a student would perform on Quiz 5 if they got a 6 on Quiz 4. Show all work.