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Thread: finding the relationship between x and y values

  1. #1

    finding the relationship between x and y values

    Use a scatter plot to determine the relationship between the x values and the y values

    x__7___2___4___5___1___6___3__
    y__5__26___20__15__30__12__25_

    Is it:
    -Negative linear relationship
    -Nonlinear relationship
    -No relationship
    -Positive linear relationship

    This is the only one I can't figure out. Can someone help?

  2. #2
    Senior Member
    Join Date
    Dec 2005
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    CO, USA
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    Re: finding the relationship between x and y values

    Quote Originally Posted by resqswmr2
    Use a scatter plot to determine the relationship between the x values and the y values

    x__7___2___4___5___1___6___3__
    y__5__26___20__15__30__12__25_

    Is it:
    -Negative linear relationship
    -Nonlinear relationship
    -No relationship
    -Positive linear relationship

    This is the only one I can't figure out. Can someone help?
    Did you actually use graph paper and PLOT the points?

  3. #3
    Elite Member
    Join Date
    Jan 2005
    Location
    Lexington, MA
    Posts
    5,614

    Re: finding the relationship between x and y values

    Hello, resqswmr2!

    Use a scatter plot to determine the relationship between the [tex]x[/tex] values and the [tex]y[/tex] values

    . . [tex]\begin{array}{c||c|c|c|c|c|c|c} x &7&2&4&5&1&6&3 \\ \hline y&5&26&20&15&30&12&25 \end{array}[/tex]

    Is it:
    . . (a) Negative linear relationship
    . . (b) Positive linear relationship
    . . (c) Nonlinear relationship
    . . (d) No relationship

    This is the only one I can't figure out. . How did you figure out the other ones?

    First, I'd write those points in order . . .

    . . . [tex]\begin{array}{c||c|c|c|c|c|c|c} x&1&2&3&4&5&6&7 \\ \hline y&30&26&25&20&15&12&5 \end{array}[/tex]

    We see that, as [tex]x[/tex] increases, [tex]y[/tex] decreases.
    . . I'd say that there is a relationship.


    Take differences of consecutive y-values.

    . . [tex]\begin{array}{cccccccccccccc}y\text{-values} & 30 && 26 && 25 && 20 && 15 && 12 && 5 \\ \text{di{f}ferences} && \text{-}4 && \text{-}1 && \text{-}5 && \text{-}5 && \text{-}3 && \text{-}7 \end{array}[/tex]

    We see that the differences are not constant . . . The relationship is not linear.

    (If you had graphed the points like they suggested,
    . . you'd see that they do not form a straight line.}


    I would say it is: .(c) Nonlinear relationship.

    I'm the other of the two guys who "do" homework.

  4. #4
    Full Member
    Join Date
    Nov 2008
    Posts
    360

    Re: finding the relationship between x and y values

    On the other hand, I would say "negative linear relationship" because you can draw a line going through the data, and it would have a negative slope. You could even do a linear regression on the data; I get the equation y = -4.036x + 35.143 as the line of best fit.

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