# Question

Ted Thorndike has been asked to pay another visit to the statistics class taught by his friend, Mary Stuart. One of the university’s track athletes has an excellent chance to make the Olympics in the 1500 meters, known as the “metric mile,” and Ted has brought along his laptop computer, a statistical package, and data on the world record for the one-mile run.

1. Fit a simple linear regression (ŷ = b0 + b1x) to the time series.

2. Fit a polynomial regression equation (ŷ = b0 + b1x + b2x2) to the time series.

3. Comparing the R2 values for the equations from parts 1 and 2, which equation is the better fit to the data?

4. Using the equation identified in question 3, what is the predicted world record for the one-mile run in the year 2015?

1. Fit a simple linear regression (ŷ = b0 + b1x) to the time series.

2. Fit a polynomial regression equation (ŷ = b0 + b1x + b2x2) to the time series.

3. Comparing the R2 values for the equations from parts 1 and 2, which equation is the better fit to the data?

4. Using the equation identified in question 3, what is the predicted world record for the one-mile run in the year 2015?

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