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  • Card 6 / 7:
    gives the gold medal times for every other Summer Olympics for the women’s 100-meter freestyle (swimming).

    Decide which variable should be the independent variable and which should be the dependent variable.Draw a scatter plot of the data.Does it appear from inspection that there is a relationship between the variables? Why or why not?Calculate the least squares line. Put the equation in the form of: ŷ = a + bx .Find the correlation coefficient. Is the decrease in times significant?Find the estimated gold medal time for 1932. Find the estimated time for 1984.Why are the answers from part f different from the chart values?Does it appear that a line is the best way to fit the data? Why or why not?Use the least-squares line to estimate the gold medal time for the next Summer Olympics. Do you think that your answer is reasonable? Why or why not?

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Source:  OpenStax, Introductory statistics. OpenStax CNX. May 06, 2016 Download for free at http://legacy.cnx.org/content/col11562/1.18
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