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Tuesday, November 26, 2013

Happy Thanksgiving!

Happy Thanksgiving! Hopefully I'll see some of you tomorrow, but I'm sure many of us are taking a "personal day." Feel free to come say hi though, I'll be here!

Over the Thanksgiving break be sure to complete your take home test. It's not too long, especially given the amount of time you have. It MUST be done for Monday. Take your time, use your notes...email with any questions...do whatever you need to do to get an "A"! You can find it uploaded under our classroom resources if you lost yours (or just prefer to type some of your answers).

**On the take home test it says to use the "computer output" in number 3. Sorry about this...I ended up deleting the computer output to make it a little bit more work...instead, you are given the set of data. Use this to find the equation of the LSRL with your calculator.**

Otherwise, rest up, enjoy your holiday, and come back ready to work on some simulations. We'll finish our "collecting data" unit in the three weeks leading up to our next break.

If you're feeling ambitious, take a peek--here's Monday's homework:

Monday's Homework:
Page 266: 5, 7, 11, (5 trials), 13 (5 trials), 19 (5 trials),


Monday, November 25, 2013

Study Your Vocab!

Tonight--study! We all need to get an "A" on tomorrow's vocab test!

Remember, all of the words are in chapters 7, 8, and 9--except for "re-expressing data" (that's in chapter 10). Also, the definitions are the same as we saw on our chapter quizzes, so use those to study!

Tomorrow we'll do our vocab test and then start to learn how to write and conduct simulations.

If you didn't turn in your chapter 11 quiz today, please make sure you have it tomorrow. You can find an electronic version under our classroom resources (if you need one).


Friday, November 22, 2013

Fresh Start Monday!

I hope you all aced the test today!

***If you were absent today please make up the test during study hall or lunch (Monday or Tuesday) or after school (Monday).***

On Monday we'll begin our new unit--we've been doing tons of work analyzing data--with our next unit, we'll start to explore where all that data comes from and how it should be gathered.

This weekend, please complete the chapter 11 reading questions provided in class. This will count as a quiz grade (and is collected Monday)--get a 100%!

Don't forget we'll really wrap up unit 2 on Tuesday with our matching vocab test.

Here are the questions for the weekend (in case you lost your paper):

Chapter 11 Reading Questions: These will be collected and graded for completion on Monday.
1.       Statistically speaking, what does it mean for something to be random?
2.       What are pseudorandom numbers?
3.       On page 259 there is a sentence highlighted in blue; this is an incredibly important idea—it describes the importance of randomness. Please copy this highlighted sentence in the space below. (On a side note, the tidbit about shuffling below is pretty interesting…check it out if you like!)
4.       Read the outline of a simulation, starting at the bottom of page 259-261. Use this information (and the bolded words on page 260) to complete the table below:

Definition:
Example (based on the example on page 259):
Simulation


Component


Outcome


Trial


Response Variable











5.       List/describe the 7 steps for creating a simulation (outlined at the bottom of page 260). (We’ll be writing simulations in this chapter so this is pretty important). Read the “step-by-step” example on page 262 to see another example of these steps in action.
6.       Write the steps you will follow (on your calculator to generate random integers (yellow box on page 263!). In other words, what buttons do you press? When you choose randint( what do you have to type in?
On separate paper, please complete page 266: 1,3, and 4 (the questions are written below, so you won’t need your book):
1.        Is a coin flip random? Why or why not, in your opinion?
3.       Many states run lotteries, giving away millions of dollars if you match a certain set of winning numbers. How are those numbers determined? Do you think this method guarantees randomness? Why or why not?
4.       Many kinds of games people play rely on randomness. What are (at least) 3 different ways commonly used to achieve randomness?

In other words, pretend you’re trying to choose who will drive to the movies amongst 5 friends. What are at least 3 different ways you can randomly choose a driver?

Thursday, November 21, 2013

Test Tomorrow! Study!

Big test tomorrow (chapters 7-9)....study!

Homework:
Period B: Please complete the two AP problems provided in class (regarding scatterplots).

Periods E,F: Please complete the 3 multiple choice questions provided in class.

Test Topics (by question!)
**There is no re-expression (chapter 10) on tomorrow's test**
  • How does correlation change if we...
    • switch axes, change units, or convert data to z-scores...
  • Interpret r and R^2
  • "Which statement about the correlation does not contain an error?"
  • Calculate residual 
  • Interpret slope!
  • Interpret y-intercept
  • Interpret R^2
  • More about slope....
  • Match correlation to a scatterplot
  • Residual and Leverage (given a graph)...
  • Finding equation of a line algebraically
  • Describe an association/correlation
  • Is a linear model appropriate? (given residual plot...)
  • Find predicted value...
  • Find LSRL given a data set
  • Interpret correlation (r)...
  • Over/underestimates (and residuals)
  • Carefully read/examine a scatterplot




Wednesday, November 20, 2013

Glad to be back!

I hope you're all ready for the onslaught of assessments over the next few days! Check out the blog post below for an outline of what's coming...

Tonight, please complete the following:  page 238: 1,3,5,7,27

Also, don't forget--chapter 9 quiz tomorrow! Here's what's on it...
1. Given data, find the equation of the LSRL and the correlation (r).
2. Identify two points that might be influential (look at a scatterplot)
3. Why might these be influential? (Explain--reference leverage and/or residual)
4. Choose one of the two points you identified to investigate...
5. Is the point you chose influential? Why or why not? 

Enjoy! See ya'll tomorrow!

Tuesday, November 19, 2013

Can't wait to be back!

Hey everyone! I apologize for missing yesterday and today--I'll be back tomorrow.

Here's an update of what's going on over the next four days...I won't like, it's going to be a busy few days of assessments:

  • Tomorrow (Wednesday): Chapter 9 Vocab Quiz and then Chapter 10 notes
  • Thursday: Chapter 9 Quiz (12 min)--identifying influential points
    • I'll be after school Thursday (as late as necessary) to review for Friday's exam
  • Friday: Unit Test (20-22 MC)
  • Tuesday: Linear Regression matching vocab test
So, to recap, this week we'll finish up our unit on Linear Regression. Then, on Monday and Tuesday, we'll start to look at methods of data collection--a unit we will finish with a take-home test over the winter break.

Tomorrow I'll sort through all of the work you've done with the subs. Be ready to get back to work!

Again, sorry I wasn't there. I'll do my best to not let it happen again so that we can maximize our time to prepare for the AP exam.

A couple reminders/updates about outstanding or makeup work:

    • Be sure to turn in your exploration of outliers and influential points that we started on Friday. I expect this to be turned in tomorrow.
    • You may make up the chapter 8 quiz any time before Tuesday (since I was out and messed up the original schedule).
    • Any other make up work (this includes quizzes to be made up) should be done before we leave for Thanksgiving break.


Friday, November 15, 2013

Weekend HW!

Great work today everyone! I love seeing you all so focused and sounding so smart as you discuss statistical concepts! Keep it up!

This weekend, please complete the worksheet provided in class--more practice with influential points. Also, if you didn't turn in the classwork, please finish that for Monday. Also, in case you lost today's classwork OR were absent, I've uploaded the assignment (under classroom resources) entitled "Outliers and Influential Points: Age vs. Score

The homework questions are below:

The table below shows the average age at which women get married (in the U.S.) versus year.
Year
1960
1965
1970
1975
1980
1985
1990
1995
Age
20.2
20.6
20.8
21.1
22
23.3
23.9
24.5




1.       Sketch a scatterplot and a residual plot for the data provided in the space below. Label your axes for each.
2.       Calculate the correlation coefficient, coefficient of determination, and the equation of the LSRL.
3.       Add the point  (1977,24) to your data (and your scatterplot above). Now record the correlation, coefficient of determination, and regression equation.
4.       Remove this point (1977,24). Instead, add (2010,22.5). Record the correlation, coefficient of determination, and regression equation.
5.       Remove this point (2010,22.5). Instead, add (1968,18). Record the correlation, coefficient of determination, and regression equation.
6.       Which point had the most influence on the equation of the line of best fit? Explain your reasoning referencing each of the statistics calculated above.  (1977,24) or (2010,22.5) or (1968,18)
Chapter 9 Reading Questions
1.       In your own words, what is extrapolation?
2.       In your own words, define leverage.
3.       What does it mean for a point to be influential?
4.       How can we define an outlier in a scatterplot?

5.       Define lurking variable.


Also, in case you lost today's classwork OR were absent, I've uploaded the assignment (under classroom resources) entitled "Outliers and Influential Points: Age vs. Score."

And finally...don't forget....chapter 9 vocab test Monday!



Thursday, November 14, 2013

BOOKwork

Tonight, please complete the following in your textbook:

Page 16: 11-14 and 15a (Period E--you don't really have to do all of 15...just stay in your seats next time!)

Tomorrow you'll do some work in groups with influential points.

Make note of the following dates...
  • Chapter 9 Vocab Quiz Monday
  • Unit Test (Scatterplots, Correlation, LSRL) tentatively schedule for Monday
  • Make-up quizzes must be done by Wednesday! (bring your half-sheet from the original quiz)
PS...I uploaded the ch. 7,8,9, and 10 powerpoints...

See you all tomorrow!

Wednesday, November 13, 2013

Wed nes day

Tonight, explore some influential points...please complete "The Wandering Point" activity provided in class.

Remember, you should never have more than 5 points in your calculator. So to start you'll add the point (3, 4) and find the new correlation and slope. Then, plot this point on the small graph on the top right (it counts by 2's) to find the size of the residual (small, medium, large, or 0).

When you're done, delete the point (3,4) and replace it with (8,6), and so on....

Then, use the table to answer 3 and 4 at the bottom.

Tomorrow we'll use this to finish our discussion of influential points and outliers! Woo!


Tuesday, November 12, 2013

Tuesday homework...

No homework tonight! Or, homework tonight! Depends on how you spent your weekend...

Either way, tomorrow I'll be checking the following problems:    Page 213: 1, 7, 9

Tomorrow we'll do some more work with outliers and influential points! Yay!

Monday, November 11, 2013

Enjoy today off...I'll check your homework on Wednesday.

I hope you're all enjoying  your three day weekend. I know we needed the chance to rejuvenate before the push into the winter break. Enjoy your day off today. Get outside, it's beautiful today(at least in Plainville it is). Rest up. Work on some of your college applications. Or study for another class.

We'll worry about Stats again starting tomorrow, for now, just enjoy the day/night before we're back at school. I'll check your homework on Wednesday, so feel free to hold off until tomorrow to do it and do something fun today instead. Or, do it now, and have no AP Stat homework tomorrow. Or, like I said, focus on some other work you likely have.

I know that personally I plan to enjoy today and not worry about working hard until tomorrow. I think we all deserve it.

So now, here's Monday's homework:     Page 213: 1, 7, 9

See you all tomorrow! We'll start/finish chapter 9 and a little of chapter 10 this week; then, next week (aiming for Tuesday, after school review Monday), we'll have our unit test. It will be both multiple choice AND one free response question.

Friday, November 8, 2013

3 Day Weekend? Yes please.

Did you get an A today? I hope so! Keep up the good work!

This weekend, please complete the following in your textbook:   Page 213: 1, 7, 9

These questions have multiple parts--that's why there's only 3. But this is definitely not too much homework for this weekend....I'll definitely be checking Monday....if you want full credit, I expect to see well written, formal (just like my quiz or the AP exam), detailed answers (they probably should be longer than what's in the back of the book, given our writing templates). Practice makes perfect!

On Tuesday we'll start looking at chapter 9--our last full chapter of this unit. We'll finish this unit next week/early the following week, and we can expect our unit test the week-after-next.


Thursday, November 7, 2013

Quiz Tomorrow!

Study, study, study! Quiz tomorrow!

There really isn't anything surprising on the quiz...you may have noticed that most of the time you're asked the same questions...same thing happens tomorrow...

So, here's an outline of the quiz--I expect it to take about 3/4 of the period:

  • Find the equation of the LSRL algebraically (this was like our protein vs. fat example in class, or #27d on page 192)
  • Next, you're given a data set and asked all of the following--so make sure you know how to use your graphing calculator!
    • Identify the explanatory and response variables
    • Sketch a scatterplot using your calculator
    • Sketch a residual plot using your calculator
    • Determine if a linear model is appropriate
    • Write the equation of the LSRL (using your calculator)
    • Use your model to predict--(substitute for x)
    • Find a residual (y - yhat)
    • Interpret slope
    • Interpret y-intercept
    • Interpret R^2
A few more things...here's the link to the R^2 video we watched in class...http://www.youtube.com/watch?v=IMjrEeeDB-Y

And here are the answers to the multiple choice we did in class...



Wednesday, November 6, 2013

When's day....

Chapter 8 quiz Friday!

Tomorrow we'll practice all this stuff in some groups with some AP multiple choice and free response, all of which will be graded....

Tonight, please complete the (short) homework provided in class...I'll definitely check it!

In case you lost the paper, the questions are below...

The table below provides the amount of formal education (in years) versus the median income for women in 2004, according to InfoPlease.com. Answer each of the following questions based on the data. (Education level is not categorical; I added this information simply to clarify the situation).

Education Level
Median Income
10
$19,162
12 (High School Diploma)
$26,029
13 (1 year of college)
$30,816
14 (Associate’s)
$33,481
16 (Bachelor’s)
$41,681
18 (Master’s)
$51,316

20 (Doctorate)
$75,036
a. Identify the explanatory and predictor variables 
b. Describe the strength and direction of the association. Provide any appropriate statistics. 
c. Find the linear regression. 
d. Interpret the slope with appropriate units in this context. 

e. Interpret the y-intercept in this context. 

Monday, November 4, 2013

Enjoying your day off?

We will go over the groupwork (1998 AP Problem) briefly in class on Wednesday, after your vocab quiz. This WILL NOT count as a classwork grade. You do not need to complete it.

So...I just finished making the vocab quiz for tomorrow...it has 9 new words (from chapter 8) and 3 from our chapter 7 test. Study! It turns out the vocab quiz is a little harder than I expected...just make sure you do some review! Study, study, study!

For homework, please answer the questions below, based on the following data/computer output:
W
  1. What is the value of the correlation coefficient (r)? 
  2. Describe the correlation shown in the scatterplot above. Be sure to reference r.
  3. Write the equation of the least squares regression line. Be sure to define any variables (context).
  4. A plane with 350 seats had an operating cost of $6,500. Calculate the residual for a plane with this many seats.
  5. Suppose you want to describe the relationship between operating cost per hour and number of passenger seats in the plane for planes only in the range of 250 to 350 seats. Does the line shown in the scatterplot still provide the best description of the relationship for data in this range? Why or why not?
  6. Interpret the meaning of the slope, in context.
  7. Interpret the meaning of the y-intercept, in context.
  8. Interpret the meaning of the coefficient of determination, R^2, in context.
  9. Use the scatterplot above to sketch a residual plot (# of passenger seats vs. residual).
  10. Use your answer to number 9--does a linear model appear to be a good fit? Explain your reasoning.
  11. Estimate the number of seats for the most expensive aircraft to operate.
  12. Estimate the number of seats for the least expensive aircraft to operate.
  13. Estimate the # of seats of the largest aircraft in this data set--approximately what was its operating cost?
  14. Estimate the # of seats of the smallest aircraft in this data set--approximately what was its operating cost?


Friday, November 1, 2013

Weekend Homework!

Grades are on the right...

I'm so proud of all of you after this first quarter! You guys did a great job; you kept up with the pace and continually impressed me with your grades--keep it up! If you can maintain this consistency I have no doubt we can have the best scores of any class on the AP Stats exam!

This weekend, start off on the right foot. The homework will count as double--don't get a 0! Additionally, I will not accept anyone's late homework--it's Monday or never!

Please complete the following problems:      page 192: 31, 33, 34ab

***31 and 33 are based on the same data (given in 31). Some of the numbers are listed twice. For instance, for an age of 1, there are two advertised prices. Make sure that when you enter the data in your calculator, you enter "1" in L1 and "12995" in L2. Then, enter another "1" in L1 and "10950" in L2. Similarly (for example), you'll have to put three 9's in L1 since there are three prices. When you're done there should be 17 data points entered.

***Period F: skip questions about R^2

***If you get stuck on any of the questions where you interpret/explain the meaning of slope, y-intercept, or R^2....use your notes! Use those examples we wrote in class!

Get a head start on your chapter 8 vocab! Vocab quiz is Wednesday!