The following table gives the gold medal times for every other Summer Olympics for the women's 100 meter freestyle (swimming).
Year | Time (seconds) |
---|---|
1912 | 82.2 |
1924 | 72.4 |
1932 | 66.8 |
1952 | 66.8 |
1960 | 61.2 |
1968 | 60.0 |
1976 | 55.65 |
1984 | 55.92 |
1992 | 54.64 |
2000 | 53.8 |
2008 | 53.1 |
A) Calculate the least squares line. Put the equation in the form of: ŷ = a + bx. (Round your answers to three decimal places.)
B) Find the correlation coefficient r. (Round your answer to four decimal places.) r =
C) Find the estimated gold medal time for 1932. (Use your equation from part (d). Round your answer to two decimal places.)
D) Find the estimated gold medal time for 1992. (Use your equation from part (d). Round your answer to two decimal places.)
E) Use the least squares line to estimate the gold medal time for the 2016 Summer Olympics. (Use your equation from part (a). Round your answer to two decimal places.)
F)Find the correlation coefficient r. (Round your answer to four decimal places.) r =
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