Tell whether the following statements are True or False. If the statement is false, rewrite the right-hand side to make the statement true.

1. (3x + 2y)(3x – 2y) = 9×2 – 4y2
2. (6x – 7y)2 = 36×2 + 49y2

There are five parts to this discussion: Read, identify three different variable pairs, create table, create graph, describe in words.

Prepare: Prior to beginning work on this discussion, read Chapter 9: Modeling Our World and Chapter 10: Modeling with Geometry in your course text, especially pages 532-3 & 536-9.

For this discussion, identify three different variable pairs in which two quantities appear to be related from either recent news stories, the web, or that you encounter in your everyday life. Each variable pair should come from a different source (as illustrated in the week 4 Discussion Sample) and there should be three sets of paired variables total.

Important note: Only one of the variables can use “time” as an independent variable. For example, you cannot have your variable pairs be (time, dependent variable 1), (time, dependent variable 2) and (time, dependent variable 3). However, you can have your variable pairs be (time, dependent variable 1), (independent variable 2, dependent variable 2) and (independent variable 3, dependent variable 3).

For inspiration, use the examples listed in the solution to Example 1 on p. 537 of the text, or the Week 4 Discussion Sample download, MAT205.W4.DiscussionSample.pdf. Be sure to select different examples!

Create Table

After you have identified three different variable pairs (from distinct sources), make a table of between 10 and 20 entries of data values for each of your variable pairs.

Create Graph

Then, graph your data values for each variable pair and describe in words the function that relates the variables. For each pair, write down at least five (5) points on the graph. Draw the graph using paper & pencil or use an online graphing calculator like Desmos Graphing Calculator (Links to an external site.).

Describe Your Results in Words

For each of the pairs you listed, identify the dependent and independent variables and briefly describe the relationship.

The Easy Way to Plot and Graph Points

Use the Desmos Graphing Calculator (Links to an external site.): (You need not create an account.)

Click on the “+” at the top left corner.

Select “table” from the drop-down menu.

Type in your points. If your point is (2, 30), then x1 is 2 and y1 is 30.

** If your points contain any values beyond  ±10, click the minus sign in the upper right-hand corner a few times to zoom out so you can see the points. **

To add a line connecting the points: 

Click and hold on the circle with four dots on it (next to y1). Click the circle next to “Lines” to show the connecting line. Your graph is done.

To share the graph, take a screenshot. [This site will show you how: http://www.take-a-screenshot.org/ (Links to an external site.). Click on the tab for Mac or Windows at the top, if needed.] Alternatively, click on the arrow in a box at the upper right hand corner of the screen, then you can “Export Image” as a .png file (it appears in your “Downloads” folder) and attach this to your discussion post or drop and drag into a Word file.

Review of Central Tendency and other topics

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Purpose: To reinforce student’s understanding and application of descriptive statistics, histograms, and skewness.

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1. Using the data below, answer the questions that follow

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4, 17, 9, 10, 3, 14, 13, 12, 15, 3, 8, 10, 4, 15, 14, 4, 19, 10, 11, 12, 15

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1. Draw a histogram (be sure your axes are properly labeled).

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The first step to draw a histogram is to find the class boundaries, in this case due to the size of the data set, 5 classes will be enough.

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We start by finding the range which is:

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But to make it look nicer we will use a Range of 0 to 20 and 5 classes

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Now we can find the classes, we start with the min and we add the class size until we reach the max.

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Calculations	Class	Freq.
0+4=4	0 to 4	2
4+4=8	4 to 8	3
8+4=12	8 to 12	6
12+4=16	12 to 16	8
16+4=20	16 to 20	2

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With this information we can plot the following graph.

need the three questions to be completed. first two questions should be written on a piece of paper including the explanation part for question 3. deliver the r script also.