No CiCi's on Sunday, September 20. Let's give the Accel Math II kids a chance.
The focus of this unit will be on standards I D 1-5 plus inference for regression (IV A 8 and IV B 7). These topics can be found in Chapters 3 and 15 of the text.
First up, we look at graphs of bivariate data. You must be able to graph (x,y) pairs on the Cartesian plane. We will be finding the Least Squares Regression Line (y-hat = a + bx) and interpreting multiple measures of fit. R is not the answer!!! You will be expected to calculate the LSRL using tables and formulas. There will be a couple of formulas that you should memorize, but now is a good time to get the green formula sheet out to see the formulas that you will be provided on all tests.
The most important formula so far is the formula for residuals: y - y-hat = the observed minus the expected [for each value of y].
Be prepared for a lab in class on Wednesday. Dress appropriately.
Friday 9/11/09: In our short period today we investigated the deviations and the residuals and just barely got to the formula that uses the squared deviations and the squared residuals:
First The deviations = the predicted differences + the residuals
Second 1 - (the sum of the squared residuals)/(the sum of the squared deviations) = r^2
Did you get that? R-squared equals the portion of the squared deviation that is not the squared error part. In other words, it is the part of the deviations that we could have predicted.
TO get these sums of the squared values we used the lists in the calculator like this:
L1: the x values
L2: the y values
Ran LinReg L1, L2, y1
L3: the predicted values of y FORUMULA= Y1(L1)
L4: the squared residuals FORMULA= (L2-L3)^2
L5: the squared deviations FORMULA= (L2-mean(L2))^2
Then use the LIST MATH 5.sum (L4) and (L5) to get the sums of the squared errors SSE and the sum of the squared deviations SST, respectively.
The R^2 formula is then 1 - (SSE/SST).
Take notes on all of Chapter 3 for Monday. Our test is Thursday.
The formulas we used in class on Monday were
b = r * Sy / Sx.
r = (sum of (Z of x * Z of y))/(n-1)
a = y-bar minus b * x-bar
HW is at least three and no more than 15 problems from the Chapter review for Chapter 3. We will cover the aspects of inference for linear regression on Tuesday.
s = the standard error about the line= an approximation of the average residual for that LSRL
SEb = the standard error of the slopes of the regression line. You would expect the slope to vary by about this much on average when you used different points from the population to come up with a LSRL.
beta = the slope of the real relationship between x and y, is approximated by b
alpha = the real y-intercept of the real relationship between x and y, approximated by a
Confidence interval for the slope : b +/- about 2 * SEb
T-statistic for testing Ho: beta = 0
b/SEb
STUDY for the test.
Test date 9/17/09.
Preview Chapter 4 for homework. See you on Monday.
Friday, September 11, 2009
Friday, August 28, 2009
Chapters 1 & 2
We're tying up loose ends related to interpreting visual displays of data and describing or summarizing the distributions. Our test on topics of chapters 1 and 2 will be on Thursday, September 3.
Standards: IA1-4, IB 1-2
HW due Monday: Problems 2.10, 2.12, 2.13, and 2.14. Problem 14 requires you to use your TI-83 calculator.
See you at CiCi's on Sunday from 2-4. That's near the Super WalMart at Trickum and HWY 92.
Test on Chapters 1 & 2 is Thursday. Prepare by reviewing the Chapter summaries, using a study guide, taking the online quizzes at the textbook website.
Standards: IA1-4, IB 1-2
HW due Monday: Problems 2.10, 2.12, 2.13, and 2.14. Problem 14 requires you to use your TI-83 calculator.
See you at CiCi's on Sunday from 2-4. That's near the Super WalMart at Trickum and HWY 92.
Test on Chapters 1 & 2 is Thursday. Prepare by reviewing the Chapter summaries, using a study guide, taking the online quizzes at the textbook website.
Tuesday, August 25, 2009
Welcome to the new school year
Welcome to AP Statistics.
For the first two weeks of school we will explore aspects of data collection, interpretation, and representation, topics identified by College Board in the Topics Outline for AP Statistics.
EQ: What challenges are there in collecting data? What options do we have for representing data? What changes would we make for different audiences?
8/10/09: Standards IIB 1 & 3
HW: replace the batteries in your TI-83, TI-84, or N-spire calculator, procure a bookcover to bring to class next week, and generate a lovely graph of the data you collected today.
8/11/09: See last night's homework PLUS create a graph that shows the cumulative frequency for the different responses, from most frequent to least frequent. The height of the first bar should be the frequency of the most common reponse, while the last (cumulative one) will be the size of the class.
8/12/09: Great job on the normal distribution today. Use it in good health in AP Psychology! If you haven't replaced your batteries, you still need to do that. If you haven't procured a book cover, then check into your many options. See you Thursday. Standards IC4, IIIC1
8/13/09: Today we got our textbooks and worked with the standard normal table. Do problems 2.23-2.28 from the text for homework. You will find these problems in Chapter 2 (of course!) numbered sequentially from the beginning of the chapter. There are examples and explanations in the pages leading up to these problems in the text, so use your resources wisely.
8/14/09: Does your brain still hurt? Today we explored probability density functions including the uniform, the Normal, and the triangular. When we looked at the triangular we reinforced our notions of percentiles and probability in the context of a continuous function. The standard introduced today was IB3. Your homework is problems 2.31-2.34 in the text. These are the 31st through the 34th exercises in Chapter 2.
I am not planning to start the CiCi's Sundays yet because we are still just surveying the concepts from the course. If you have questions, please see me before school on Monday. Have a super weekend. Go Lady Trojans Softball and Volleyball players! Good luck against Colquitt Co, football players! Marching band, march on with pride!
Please cover your textbook and CHANGE THOSE BATTERIES!
HW due Tuesday Aug 18th: Problems 1.7, 1.8, 1.9, and 1.11 from Chapter 1. The problems are numbered sequentially in the text, so start at the beginning and keep going until you find these problems. If you have difficulty, look at the examples on the pages prior to the problems.
HW due Wednesday Aug 19th: All the problems from the section 1.1 summary area (page 67-69) that you know how to do. I will assign additional work for each problem that you don't know how to do to get you caught up, so do your best.
HW due Thursday Aug 20th: Using the data you recorded in class today about work experience and gender, create and discuss the graph that best reflects the relationship between these two characteristics. Also, here's an interesting link about the ACT. Compare the performance of each subgroup to the national subgroup averages. Then compare the overall performance of Georgia students to the entire population of test-takers. Can you explain the difference?
HW due Monday, August 24th: Bring two different types of published graphs to class (cut out of the newspaper, magazine, or other publication or printed from the Internet PLUS enough information about the data collected that you can write up an interpretation as an expert.
HW due Tuesday, August 25th: Problems 1.39, 1.40, 1.42, and 1.43. Bring those graphs from the weekend, too!
HW due Wednesday: THe same as last night! Be sure to bring these items tomorrow. ALSO, cover your textbook.
NO CiCi's this week. Probably next!
For the first two weeks of school we will explore aspects of data collection, interpretation, and representation, topics identified by College Board in the Topics Outline for AP Statistics.
EQ: What challenges are there in collecting data? What options do we have for representing data? What changes would we make for different audiences?
8/10/09: Standards IIB 1 & 3
HW: replace the batteries in your TI-83, TI-84, or N-spire calculator, procure a bookcover to bring to class next week, and generate a lovely graph of the data you collected today.
8/11/09: See last night's homework PLUS create a graph that shows the cumulative frequency for the different responses, from most frequent to least frequent. The height of the first bar should be the frequency of the most common reponse, while the last (cumulative one) will be the size of the class.
8/12/09: Great job on the normal distribution today. Use it in good health in AP Psychology! If you haven't replaced your batteries, you still need to do that. If you haven't procured a book cover, then check into your many options. See you Thursday. Standards IC4, IIIC1
8/13/09: Today we got our textbooks and worked with the standard normal table. Do problems 2.23-2.28 from the text for homework. You will find these problems in Chapter 2 (of course!) numbered sequentially from the beginning of the chapter. There are examples and explanations in the pages leading up to these problems in the text, so use your resources wisely.
8/14/09: Does your brain still hurt? Today we explored probability density functions including the uniform, the Normal, and the triangular. When we looked at the triangular we reinforced our notions of percentiles and probability in the context of a continuous function. The standard introduced today was IB3. Your homework is problems 2.31-2.34 in the text. These are the 31st through the 34th exercises in Chapter 2.
I am not planning to start the CiCi's Sundays yet because we are still just surveying the concepts from the course. If you have questions, please see me before school on Monday. Have a super weekend. Go Lady Trojans Softball and Volleyball players! Good luck against Colquitt Co, football players! Marching band, march on with pride!
Please cover your textbook and CHANGE THOSE BATTERIES!
HW due Tuesday Aug 18th: Problems 1.7, 1.8, 1.9, and 1.11 from Chapter 1. The problems are numbered sequentially in the text, so start at the beginning and keep going until you find these problems. If you have difficulty, look at the examples on the pages prior to the problems.
HW due Wednesday Aug 19th: All the problems from the section 1.1 summary area (page 67-69) that you know how to do. I will assign additional work for each problem that you don't know how to do to get you caught up, so do your best.
HW due Thursday Aug 20th: Using the data you recorded in class today about work experience and gender, create and discuss the graph that best reflects the relationship between these two characteristics. Also, here's an interesting link about the ACT. Compare the performance of each subgroup to the national subgroup averages. Then compare the overall performance of Georgia students to the entire population of test-takers. Can you explain the difference?
HW due Monday, August 24th: Bring two different types of published graphs to class (cut out of the newspaper, magazine, or other publication or printed from the Internet PLUS enough information about the data collected that you can write up an interpretation as an expert.
HW due Tuesday, August 25th: Problems 1.39, 1.40, 1.42, and 1.43. Bring those graphs from the weekend, too!
HW due Wednesday: THe same as last night! Be sure to bring these items tomorrow. ALSO, cover your textbook.
NO CiCi's this week. Probably next!
Monday, May 04, 2009
Last few weeks
QUESTIONS FOR JUNIORS AND SOPHS:
1st - 5
2nd - 2
6th - 6
7th - 5
Answer completely and correctly. Bring it with you to the exam along with a calculator and a pencil, but no notebooks or backpacks. We need to cut down on the end-of-year littering around the school neighborhood.
Senior take-home exam assignments: Bring a perfect and complete response to the assigned question on the day of your final along with your textbook and green t-table card. Typed is OK.
1st period seniors: Question 5
2nd period seniors: Question 4
6th and 7th period seniors: Question 1
The random assignment of questions for sophomores and juniors will take place on Tuesday.
DO NOT TALK ABOUT MULTIPLE CHOICE EXAM QUESTIONS. We can talk about the free response questions starting Friday. This means that you cannot write, text, or twitter about the questions, either.
Good luck on the test Tuesday! Please bring pencils, pens, calculator, tissues, and ID.
DO NOT BRING any books, notes, food, drinks, noisy things, cell phones, cameras, fireworks, explosives, plutonium-based products, live animals, fruits or vegetables, etc.
Plans for the rest of the year:
Recognizing that many of you will be taking other exams between now and the final, we will be working ASMA tests, reviewing adv algebra and trigonometry, developing rubrics for the questions you see on Tuesday, and preparing for the final.
1st - 5
2nd - 2
6th - 6
7th - 5
Answer completely and correctly. Bring it with you to the exam along with a calculator and a pencil, but no notebooks or backpacks. We need to cut down on the end-of-year littering around the school neighborhood.
Senior take-home exam assignments: Bring a perfect and complete response to the assigned question on the day of your final along with your textbook and green t-table card. Typed is OK.
1st period seniors: Question 5
2nd period seniors: Question 4
6th and 7th period seniors: Question 1
The random assignment of questions for sophomores and juniors will take place on Tuesday.
DO NOT TALK ABOUT MULTIPLE CHOICE EXAM QUESTIONS. We can talk about the free response questions starting Friday. This means that you cannot write, text, or twitter about the questions, either.
Good luck on the test Tuesday! Please bring pencils, pens, calculator, tissues, and ID.
DO NOT BRING any books, notes, food, drinks, noisy things, cell phones, cameras, fireworks, explosives, plutonium-based products, live animals, fruits or vegetables, etc.
Plans for the rest of the year:
Recognizing that many of you will be taking other exams between now and the final, we will be working ASMA tests, reviewing adv algebra and trigonometry, developing rubrics for the questions you see on Tuesday, and preparing for the final.
Wednesday, April 29, 2009
Chapter 15 and other topics
E-mail your edited chapter summary to jhl2881@students.kennesaw.edu as an attachment.
You will receive an invitation to join a private Wiki.
Do not put your name on the document, but DO put your name in the email title.
SENIORS IN 1st and 2nd PERIODS: Go to Room 808 for class on Wednesday.
Pre-testing processing of the exam forms for AP testing (otherwise known as the Bubbling-in sessions) have started. Go to the theater at 7:30 in the AM or 3:30 in the PM to fill in your forms in anticipation of the big day.
Next test: Cumulative multiple choice test on Thursday, April 16.
Test after that: TUESDAY, April 21. (Unless you sign up for Monday afternoon free response testing.)
We plan to test on Chapter 15 on Tuesday, April 14. Until then we will be doing problems from old exams that relate to linear regression and inferences about the slope (the problems you Hawaii folks picked up on Tuesday!!!). We covered this stuff first semester when we did regression.
Our tentative plans for tests for the rest of the semester. . .
4/14 Chapter 15
4/15 Sophomore testing in the morning
4/16 Multiple choice test #1
4/21 Multiple choice test #2
4/23 Multiple choice test #3
week of April 20-24 Free response test after school 3:45 - 5:15 one day
May 5 the big one!
Sometime later Final exam
HW due Thursday
Write up the responses to the three free response questions discussed in class in your spiral notebooks.
Notes for the 2008 problem, part c: Follow their directions. Average the two proportions. For the standard deviation you will have to find the square root of the variance of the average. Yiles! Sounds difficult.
Variance of the average = 1/4 variance of x + 1/4 variance of y.
You will receive an invitation to join a private Wiki.
Do not put your name on the document, but DO put your name in the email title.
SENIORS IN 1st and 2nd PERIODS: Go to Room 808 for class on Wednesday.
Pre-testing processing of the exam forms for AP testing (otherwise known as the Bubbling-in sessions) have started. Go to the theater at 7:30 in the AM or 3:30 in the PM to fill in your forms in anticipation of the big day.
Next test: Cumulative multiple choice test on Thursday, April 16.
Test after that: TUESDAY, April 21. (Unless you sign up for Monday afternoon free response testing.)
We plan to test on Chapter 15 on Tuesday, April 14. Until then we will be doing problems from old exams that relate to linear regression and inferences about the slope (the problems you Hawaii folks picked up on Tuesday!!!). We covered this stuff first semester when we did regression.
Our tentative plans for tests for the rest of the semester. . .
4/14 Chapter 15
4/15 Sophomore testing in the morning
4/16 Multiple choice test #1
4/21 Multiple choice test #2
4/23 Multiple choice test #3
week of April 20-24 Free response test after school 3:45 - 5:15 one day
May 5 the big one!
Sometime later Final exam
HW due Thursday
Write up the responses to the three free response questions discussed in class in your spiral notebooks.
Notes for the 2008 problem, part c: Follow their directions. Average the two proportions. For the standard deviation you will have to find the square root of the variance of the average. Yiles! Sounds difficult.
Variance of the average = 1/4 variance of x + 1/4 variance of y.
Friday, March 27, 2009
Chapter 14 Chi-square procedures
We have covered all the new material from this chapter. Your test will be on Tuesday, March 31.
HW for this weekend: AT LEAST three problems (not all odd) from the Chapter 14 chapter review. If you are struggling, do more problems. Bring all your CH 14 homework for credit on Tuesday.
Preview for after the test: We will be re-doing inference for regression (linear regression t-tests and confidence intervals) and power of the test.
Problems 11, 15, 16, and 24 are due Friday.
Problems 14.3, .4, .5, and .8 are due Wednesday.
HW due Tuesday: Using the data from your M&M bag, compare the sample distribution with the OLD theoretical distribution of BROWN 30%, RED 20%, YELLOW 20%, BLUE 10%, ORANGE 10%, and GREEN 10%. Perform a complete goodness of squares analysis of your data. If you misplaced your data, I guess you'll have to use a second bag of M&Ms. A complete analysis includes all the elements of SCAD.
HW for this weekend: AT LEAST three problems (not all odd) from the Chapter 14 chapter review. If you are struggling, do more problems. Bring all your CH 14 homework for credit on Tuesday.
Preview for after the test: We will be re-doing inference for regression (linear regression t-tests and confidence intervals) and power of the test.
Problems 11, 15, 16, and 24 are due Friday.
Problems 14.3, .4, .5, and .8 are due Wednesday.
HW due Tuesday: Using the data from your M&M bag, compare the sample distribution with the OLD theoretical distribution of BROWN 30%, RED 20%, YELLOW 20%, BLUE 10%, ORANGE 10%, and GREEN 10%. Perform a complete goodness of squares analysis of your data. If you misplaced your data, I guess you'll have to use a second bag of M&Ms. A complete analysis includes all the elements of SCAD.
Wednesday, March 18, 2009
Chapter 13 Two-sample tests
We're starting with tests of differences between two proportions. Usually our hypothesis is that there is no difference. Of course, we could look for a difference! Testing on Thursday, 3/19.
Bring all your HW from this chapter to the test on Thursday.
Problems 46 and 48 are due Wednesday.
Problems 13.41-44 are due Tuesday. Also, review your rules for variances. The variance of the difference of two means is equal to the sum of the variances of the two means. What is the variance of x-bar minus 3*y-bar if x and y are independent? Know your stuff.
Problems 15-18 should be done for Monday. Also, complete the hypothesis test from class:
Ho: mu E - mu N = 0 vs Ha: mu E -mu N < mu =" 7.26" dev =" 6.94" n =" 100" mu =" 9.55" dev =" 5.88" n =" 100" color="#ff0000">Your test on this chapter is on Thursday of next week.
HW due Thursday: Problems from the book 13.2, 3, 5, and 27, PLUS complete SCAD write-ups of the hypothesis test and confidence intervals for the differences in proportions from the census data linked below. We are looking for the difference between the % of adult Americans who have graduated from high school for women and for men.
Interesting 2-proportion statistic: http://www.census.gov/Press-Release/www/releases/archives/education/000818.html
People in the Lassiter area are happier than most: http://www.ajc.com/health/content/health/stories/2009/03/11/states_of_happiness_georgia.html?cxntlid=homepage_tab_newstab
HW due Wednesday: write up a complete (SCAD) response to the activity in class today. PLUS, read and create an outline for the second section of chapter 13.
Bring all your HW from this chapter to the test on Thursday.
Problems 46 and 48 are due Wednesday.
Problems 13.41-44 are due Tuesday. Also, review your rules for variances. The variance of the difference of two means is equal to the sum of the variances of the two means. What is the variance of x-bar minus 3*y-bar if x and y are independent? Know your stuff.
Problems 15-18 should be done for Monday. Also, complete the hypothesis test from class:
Ho: mu E - mu N = 0 vs Ha: mu E -mu N < mu =" 7.26" dev =" 6.94" n =" 100" mu =" 9.55" dev =" 5.88" n =" 100" color="#ff0000">Your test on this chapter is on Thursday of next week.
HW due Thursday: Problems from the book 13.2, 3, 5, and 27, PLUS complete SCAD write-ups of the hypothesis test and confidence intervals for the differences in proportions from the census data linked below. We are looking for the difference between the % of adult Americans who have graduated from high school for women and for men.
Interesting 2-proportion statistic: http://www.census.gov/Press-Release/www/releases/archives/education/000818.html
People in the Lassiter area are happier than most: http://www.ajc.com/health/content/health/stories/2009/03/11/states_of_happiness_georgia.html?cxntlid=homepage_tab_newstab
HW due Wednesday: write up a complete (SCAD) response to the activity in class today. PLUS, read and create an outline for the second section of chapter 13.
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