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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