Question
Please answer 5 all parts so I can understand 5. The following chart gives the gold medal times for every other World Competition for the
Please answer 5 all parts so I can understand
5. The following chart gives the gold medal times for every other World Competition for the men's 100-meter freestyle (swimming). Use the year as the explanatory variable (x).
Year | Time (seconds) |
1912 | 72.2 |
1924 | 62.4 |
1932 | 56.8 |
1952 | 56.8 |
1960 | 55.2 |
1968 | 55.0 |
1976 | 53.65 |
1984 | 52.92 |
1992 | 50.64 |
a) Draw a scatter diagram of this data.
b) Using your scatter diagram, describe the overall pattern (linear or non-linear), association (positive or negative), and strength (weak or strong).
c) Find the correlation coefficient, r.
d) Find the equation of the regression line.
e) Interpret the slope found in part (d) using the context of this problem.
f) According to the regression equation (d), how fast would the gold medalist be in 2020? Is this result reliable? Justify your answer.
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