Linear Regression

Here are the gold medal times for the women's 100-meter freestyle (swimming) in every other Summer Olympics: Gold Medal Times in the Women's 100-Meter Freestyle Swimming for Every Other Summer Olympics Year Time (seconds) 1912 81.5 1924 73.6 1932 67.9 1952 66.6 1960 62.4 1968 61.0 1976 55.65 1984 55.92 1992 54.64 2000 53.8 2008 53.4 1. Draw a scatter plot of the data. 2. Describe the relationship between the variables in the graph. 3. Find the correlation coefficient. 4. Find the least-squares regression line. 5. Find the estimated gold medal time for 1924 and for 1976. Are these estimates reliable? Are they reasonable? 6. Why are your answers in Question 5 different than the times given in the table? 7. Find the estimated gold medal time for 2022 and for 2200. Are these estimates reliable? Are they reasonable