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7.1 Linear Patterns

7.1 Linear Patterns
  • Math Help

    As you study Chapter 7, note that in mathematics, the term line means straight line.

    The graph shown in Example 1(a) is called a scatter plot. A scatter plot is very useful in detecting patterns in data. You can use a spreadsheet to create a scatter plot similar to the one in Example 1(a) using the steps below.

    1. Create a spreadsheet like the one shown.
    2. Select cells A2 through A12 and B2 through B12.
    3. From the Insert menu, choose Chart....
    4. Select the Standard Types tab. Under Chart type:, select XY (Scatter). Then click Next.
    5. Click Next again.
    6. Select the Titles tab. Enter "Men's Height" for Chart title:, "Femur length (in.)" for Value (X) axis:, and "Height (in.)" for Value (Y) axis:.
    7. Select the Legend tab. Uncheck Show legend. Click Finish.

  • Consumer Suggestion

    For an interactive checkup that will tell you whether you are at risk for osteoporosis and other bone problems, go to Check Up On Your Bones on The National Institute of Arthritis and Musculoskeletal and Skin Diseases website.

  • Checkpoint Solution
    1. A table showing the relationship between femur length and height in women is shown in the spreadsheet below.

    2. From the graph, you can see that all the data points lie on a line.
  • Comments (2)

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     ______     _____    __   _      ___     _____    
    |      \\  |  ___|| | || | ||   / _ \\  |  __ \\  
    |  --  //  | ||__   | '--' ||  / //\ \\ | |  \ || 
    |  --  \\  | ||__   | .--. || |  ___  ||| |__/ || 
    |______//  |_____|| |_|| |_|| |_||  |_|||_____//  
    `------`   `-----`  `-`  `-`  `-`   `-`  -----`   
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    system user
    Cody (moderator)1 decade ago |
    Some dance routines incorporate mathematics to add a certain balance and organization. To read about a routine that incorporates a linear pattern, check out the "Math in the News" section of our blog.
    system user
    Ron Larson (author)1 decade ago |
    I saw a documentary on television that did a study of the femurs of Roman soldiers and concluded that the average height was only 5' 4". I thought this was surprising.