Stat 2000: Tips for Assignment 5

Published: Sun, 03/30/14

My Final Exam Prep Seminar is on Good Friday, April 18 and Saturday, April 19
For more details, click here.
Did you read my tips on how to study and learn Stat 2000?  If not, here is a link to those important suggestions:
Did you read my Calculator Tips?  If not, here is a link to those important suggestions:
Did you read my Tips for Assignment 1?  If not, here is a link to those important suggestions:
Did you read my Tips for Assignment 2?  If not, here is a link to those important suggestions:
Did you read my Tips for Assignment 3?  If not, here is a link to those important suggestions:
Did you read my Tips for Assignment 4?  If not, here is a link to those important suggestions:
Tips for Assignment 5
Study the Chi-Square Goodness of Fit part of Lesson 8: Chi-Square Tests (if you are using an older edition of my book, this may be Lesson 9).  You also will need to study Lesson 9: Review of Linear Regression and Lesson 10: Inferences for Linear Regression (up to the end of question 3, you do not need to study the Multiple Linear Regression section at this time). 

Note that they have omitted Multiple Linear Regression and Lesson 11: Nonparametric Tests (The Sign Test) this term. DO NOT STUDY THESE SECTIONS.
Don't have my book?  You can download a free sample containing Lesson 3 at my website here:
A Warning about StatsPortal
It appears that StatsPortal is not fully functional if you are using Internet Explorer as your browser.  This has ramifications if you are using the HTML Editor box.  I strongly recommend that you use Mozilla Firefox as your internet browser whether you use a Mac or PC to ensure no problems with submitting your assignments.  Here is a link where you can download Firefox direct from Mozilla (it is free):

Do note that every time you exit a question in StatsPortal, the next time you return to it, the data may very well change.  Do not press the "back-up" button on your browser in a question.  That, too, will change the data.  When you are prepared to actually do a question, open the link, keep it open, and do not close it until you have submitted your answers.  There is also some debate whether even pressing "Save Answers" locks the data in place.

You should also have already downloaded the JMP statistical software which was provided with either one of the course options for StatsPortal as mentioned in your course outline.

Make sure you have gone through Assignment 0 completely to learn how to use the interface.  I also suggest you print out a copy of question 8 in Assignment 0 (Long Answer Questions - Part 3) so that you have the steps for saving and uploading files into the HTML editor in front of you.
Question 1
This is not unlike my question 5 in Lesson 8.  Make sure you follow their instructions for rounding.  They make their goodness-of-fit table horizontally, while I prefer to make mine vertically.  When entering the bounds for the P-value, be sure to put the lower bound in the first box, then the upper bound in the second box.
Question 2
Similar to my Lesson 8, question 8.  They also then talk about estimating the parameter later in the problem which is like my Lesson 8, question 9.
Question 3
Similar to my Lesson 8, question 11.  You should also look at my question 10 for additional practice.  Since the last cell represents when the count is 5 or more, make sure that the probability for that cell is such to make the total of all the probabilities add up to 1.
Question 4
This is a runthrough of Linear Regression.  Be sure to study Lessons 9 and 10 in my book before attempting this and the rest of the questions in this assignment.  You should especially work through question 1 in Lesson 9 and questions 1 and 3 in Lesson 10.

Note that they give you SSE, the sum of the squared residuals, so you are able to compute the variance of the residuals (MSE = SSE/DFE).  MSE is your estimate for σ, as requested in part (g).  That is what I call Se, the standard deviation of the residuals, the estimate for σε, the standard deviation of the population of residuals.

Never forget
, in a regression context, if they start talking about σ or s, they are referring to the standard deviation of the residuals for the population or sample, respectively.  To add to the confusion, they called s, σ-hat in this part.

To do Linear Regression in JMP:

Open a "New Data Table".  Enter all the data for x in Column 1 and all the data for y in Column 2.  Be sure to name the columns appropriately.  Here, Column 1, x, will be Fat and Column 2, y, will be Cholesterol.  Select "Analyze, Fit Y By X".  Highlight "Fat" and click "X, Factor".  Highlight "Cholesterol" and click "Y, Response".  Click OK.

You should now be looking at a scatterplot.  Click the red triangle and select Density Ellipse and select 0.99 (it doesn't matter; you don't want this at all, but this gives you a summary of the means, standard deviations, and the correlation coefficient, r).  Click the red triangle that appears below the scatterplot which says Bivariate Normal Ellipse and deselect "Line of Fit" to make the ellipse disappear from your scatterplot.  You will also note that there is a title bar called Correlation below the scatterplot now.  Click the blue triangle to open it up and confirm the means and standard deviations match those you were given.  If not, perhaps you were mixed up which one was x and which one was y?

Click the red triangle and select "Fit Line" to get the least-squares regression line.  You now have all the outputs you need.  Be sure to read in Lesson 10 the connection between the t test statistic for the slope and the t test statistic for the correlation.  And also the connection between t for the slope and F for the slope.  Although they want you to do a lot of this question by hand (and you certainly should since that will also happen on the exam), do note that JMP does do a lot of this stuff for you and you can use it to check your answers before you submit them.
Question 5
I show you how to fill in an Anova table like this in Lesson 10, question 3.  Otherwise, similar to the previous question.
Question 6
This is similar to my Lesson 10, question 2.
Question 7
The correct answer is Yes, please!