Showing posts with label Linear Models. Show all posts
Showing posts with label Linear Models. Show all posts

Thursday, January 8, 2009

SCRIBE

Today in class we had a pre-test so that we will be prepared for the test tomorrow. This is basically what was on our test....

Our first question was quite easy. It asked us about a profit of a raffle draw and how many tickets would have to be sold so that they would make NO profit. Here's the question:

Students sell tickets for a raffle. If the students sell 500 tickets, they loose $250. If the students sell 1500 tickets they make a profit of $250. How many tickets do they need to "break even" (no gain or loss)
(a) 0 Tickets (b) 250 tickets (c) 1000 tickets (d) 2000 tickets

Well if they loose $250 when they sell 500 tickets when they double how many tickets they sell (1000) they will have no gain or loss. Hence the answer is 1000

In the next question we dealt with an equation and profit. Here's the question:

A school hosts a dance. The profit, P, in dollars, is represented by the function P(n) = 4n - 100. What is n when P(n) = 1400 ?
(a) 325 (b) 375 (c) 450 (d) 5500

In this situation you need to replace the n with one of the given answers (the multiple choice answers) to see what one will give you a total of 1400. So you will multiply ___ by 4, then subtract that by 100 to see if it will give you 1400. When you replace the n with 375 you will end up with 1400. So 1400 = 4(375) - 100

In question 3 I had difficulties and tried to get Ryan to explain it to me so I will try and explain this to the best of my ability. Your given a chart of data about How much money it will cost to rent a apartment (in squared feet). Then we were to find the Linear Regression.

(go to this website to see the chart if you wish)

All in all we were to enter the given data into a list (STAT. ENTER) then graph it (GRAPH). then do to STAT again, but this time were moving over to CALC picking #4, LinReg(ax+b). You enter the normal 2nd. 1. comma. 2nd. 2. VARS. Y-VARS. (select) #1 (FUNCTION). ENTER. ENTER.

We can then find the Linear Regression ! y= 1.16x + 179.8

In question 4 we then worked with patterns. Here's the question:

Helen's starting salary is $35 000 per year. If she recieves a raise of $2000
every year after that, how much will she have earned after working 11 years?

Well if Helen starts off at $35 000 and you jump to $2000 your at $37 000. So for 1st year its $37 000. Then the 2nd year it will be $39 000, the 3rd year $41 000 etc, etc .... And once you reach 11 years you are at $57 000 !

Our final question dealt with calculator work so I can't exactly show it to you. Here is a link to the chart if you wish to see it. http://www.slideshare.net/dkuropatwa/applied-20s-january-8-2009-presentation?type=powerpoint The chart basically shows us two list with the headings reading HEIGHT(m) and ARM SPAN(m) with our arm span as the dependant variable and our height as the independant variable (meaning that the length of the arms depends on how tall the person is)
Yet again you enter the list into the calculator as shown above. However when you are at the graphing stage that is when you get your answers. This time you have to hit the TRACE button and move around the arrow buttons until your x axis reads the height you are looking for. Once you have found the height, you look at the y= and there is your answer! You do this for questions b,c,and d.

For question E you are asked about Interpolation and Extrapolation. Interpolation is when you find the value INSIDE (inbetween) the points. Extrapolation is when you find the value OUTSIDE the points.

Yeah, thats pretty much it ... hope this helped :D
NEXT SCRIBE IS ..... Hmmm .... CAITLIN.


Michelle <3 style="color: rgb(102, 102, 204);">

Today's Slides: January 8

Here they are ...



Wednesday, January 7, 2009

Today's Slides: January 7

Here they are ...


Applied 20S January 7, 2009
View SlideShare presentation or Upload your own. (tags: am20sf08 math)

Sunday, December 21, 2008

sandra scribe day!

Last class we worked on some slides about interpolation and extrapolation.
Then we worked on some sequences, we went into some small groups.

Arithmetic Sequence:

- Recursive Definition:
An ordered list of numbers generated by adding a value continuously.


{/EDIT} An arithmetic sequence is when you continue adding the same number over and over again. For example:
5, 10, 15, 20, 25...
That is adding five to the previous number.


And to find the equation of the numbers the formula is Y = ax + b, so it would be like,
Y = 5x + 0 (used the sequence above for example).
If you're wonder how i got the zero, look at slide 8/13 for December 18th.
It's pretty much just
subtracting 5 from 5 because a = the first term and you subtract 5 from the first term.

Since the sequence is just adding 5, the common difference is 5, because there's a difference of 5 in each of the numbers.

I hope this is enough =)


sorry guys, i have no idea what im doing =.=''


Next Scribe = Matthew

Thursday, December 18, 2008

Today's Slides: December 18

Here they are ...


Applied 20S December 18, 2008
View SlideShare presentation or Upload your own. (tags: am20sf08 math)

Wednesday, December 17, 2008

Today's Slides: December 17

Here they are ...


Applied 20S December 17, 2008
View SlideShare presentation or Upload your own. (tags: am20sf08 math)

Tuesday, December 16, 2008

December 16, 2008

Earlier beginning of the class we talked about digital ethics which is you don't have to post any pictures ourselves because we being so careful to our own privacy and we can only use our first name and if you really wantedto have your own graphic association image with your posting . you may also used avatar. a something represent you but its NOT you..

Later on, we also talk about the y-intercept and what is the meaning of it be by using graphic calculator. This are the steps how to used the graphic calculator by solving the y-intercept:
  • When we used the graphic calculator we press STAT and look for the EDIT and list they points.You should enter the data in the list. To get to the list (1) one or list (2) two. To clear the list press the up and down button, clear and enter your data.
  • when your going to create a scatter plot you should press 2nd function, y=, and enter. Choose scatter plot, x list and y list.
  • if your going to graph the the plot, your going to press ZOOM 9. first, you should adjust your WINDOW.
  • To create a regression equation. Press STAT, ARROW to the LEFT and move to the CALC and pick your regression and then press 2nd function (1)one, comma, 2nd function (2) two and comma.
  • Press VARS, arrow to the right and move to the Y-vars ENTER to the function and ENTER.
This are the types of regression:
- linear
- quadratic
- exponential
- sinusoidal
- logarithmic
- power

we also correct our quiz in the end of our class. we talk about the y-intercept and also how to write the equation of the line. do you know the meaning of interpolations? Interpolations means is to estimate values of(data or a function) between known values.

This are the things that i learned in our class today. My scribes not too short but in this post you can easily understand by is step.

The next scribe will be THUAN. (^_^)

Today's Slides: December 16

Here they are ...



Applied 20S December 16, 2008
View SlideShare presentation or Upload your own. (tags: am20sf08 math)

Monday, December 15, 2008

I forgot about the scribe, the next one will be Cachel.

Okay, so the beginning of class we talked about how the y-intercept is the point where the line crosses the y axis. Slope is rise over run, but what the slop means depends on the question. For example, the yearbook question that we did, the slope equaled 12, which meant that a yearbook costs 12 dollars. Or the taxi question we did, where the slope equaled 1, that meant that the taxi costs $1 per km. Then we went on and talked about the question we started on friday about the antibacterial spray. The first thing we had to do with that question was set it up. First you plot all the points on your calculator by pressing STAT then press ENTER. Then you just add all of the number of hours (x) in the first list, and the number of bacteria (y) in the second list. The first two questions ask you to find the slope, the y-intercept and what they mean/represent. To answer this, you have to use a linear regression equation. To do this you press STAT and then the right arrow key to slide over to CALC, then you press 4 to get LinReg(ax+b) on the home screen. Once you have that you press 2nd and 1 (it's for the first list you entered number of hours in) then press the comma key, which is just above the number 7, then press 2nd and 2 (for the second list). Then you will put another comma and press VARS arrow key right to get to Y-VARS then press ENTER, and press ENTER again. For the first question, you need to find the slope, if your on the home screen with your linear regression equation showing press ENTER and you will see your slope and your y-intercept. Your slope is a and your y-intercept is b. The slope that you should see is -4.9. It means that the bacteria decreases more and more and time goes on. The next question askes what the y-intercept is and what it represents. If you look it should be 99.14, and that is how many bacteria is there before they sprayed there antibacterial spray. The next question you have to write out the equation, which will be Y=-4.93+99.14, but you want it more realistic, so you would write it as N(h)= -4.93+99.14. (N meaning number of bacteria, and h meaning hours.) The next question asks after how many hours would 25 bacteria be present? To answer this question, press GRAPH. If you need to adjust your window, then press WINDOW.

<-- Enter these values, and your window should fit just right. Press Y= and go down to Y2= and enter 25. This will make it so that on the Y axis ther will always be a line at 25.
Press GRAPH again, then press 2nd and CALC (above TRACE). Then press 5 which is intersect. Move your right arrow down to where the lines intersect, (your X should be around 14.9 and your Y 25.7) and at the bottom of the screen it should say First Curve? Now you press ENTER and it should now say Second Curve? Press ENTER once again and it should say Guess? Press ENTER for the last time, and it should say Intersection, and now your done. Notice how your Y=25 and your X=15.04. That means that the bacteria that is present is 25, and the hours it took to get there is 15. The next question is asking to state the largest value and the smallest value of the domain. (Domain is the X axis). To do this you have to 2nd CALC and then press 2 because you are looking for zero. Then you press the right arrow to scroll down on your line until you get to the X axis. When you are there, the coordinates should be around 19.9 for X and .834
for Y. To make sure that you have the point in the right place, your Y should be just under zero. Your screen should be saying Left Bound? at the bottom, so press ENTER (when your over the right place) and it should now say Right Bound? Then your going to move your right arrow over just once so that your Y is now a negative number. Press ENTER again so that it will say Guess? then press ENTER one more time. Your screen should now say Zero and your X axis should be at 20.12. For this question your smallest value is 0, and your largest value is 20.12. For the next question is asks for the largest value and the smallest value of the range. (Range is the Y axis). For this question you just need to look at the graph and see that your smallest value is 0 and your largest value is 99.14. You know this because the number of bacteria has to be 0, you can't go any less than that, and the largest number is 99.14 because that is the y-intercept. That is all of the questions that was on that paper. Thanks for reading this all! (:

Today's Slides: December 15

Here they are ...


Applied 20S December 15, 2008
View SlideShare presentation or Upload your own. (tags: am20sf08 math)

Friday, December 12, 2008

Today's Slides: December 12

Here they are ...



Wednesday, December 10, 2008

Today's Slides: December 10

Here they are ...