Question

5) The table below gives the gold medal times for every other Summer Olympics for the women's 100 meter freestyle (swimming) Year Time (seconds) 82.2 1912 1924 72.4 1932 66.8 1952 1960 66.8 61.2 1968 60.0 1976 55.65 1984 55.92 1992 54.64 53.8 2000 2008 53.1 (a) Describe which variable should be the independent variable and which should be the dependent variable. Solution: (b) Draw a scatter plot of the data using the Rossman Chance applet. Include a screenshot. Solution: (c) Does it appear from inspection that there is a relationship between the variables? Why or why not? Solution:

Answer 1

Date solution a) Here Year variable should be be the independent variable and gold medal times should be the dependent variable. Yes, from inspection we say that there is relationship between the variable. from scatter plot we see that the there is negative relationship between the variables. Negative relationship means if one variable increases other variable drill decreases and vice versa.

Scatter plot 90 80 70 60 50 Gold medal times 40 30 20 10 0 1900 1920 1940 1960 1980 2000 2020 Year