The modern Olympic Games have changed dramatically since their inception in 1896. For example, many commentators have remarked on the change in the quality of athletic performances from year to year. Regression will allow us to investigate the change in winning times for one event?the 1,500 meter race.

Time 280 270 260 250 240 230 220 . . 210 y = -0.393x + 994.19 200 R2 = 0.7934 1880 1900 1920 1940 1960 1980 2000 2020 Question 1: Give the equation for the least squares regression line, and interpret it in context. Time 280 270 260 250 240 230 .. . 220 210 y = -0.393x + 994.19 R2 = 0.7934 200 1880 1900 1920 1940 1960 1980 2000 2020 Question 2: Give the equation for this new line and compare it with the line you found for the whole dataset, commenting on the effect of the outlier. Question 3: Our least squares regression line associates years as an explanatory variable, with times in the 1,500 meter race as the response variable Use the least squares regression line you found in question 2 to predict the 1,500 meter time in the 2008 Olympic Games in Beijing. Common on your prediction. |