The two running events in the heptathlon are the 200 m run and the 800 m run. The times taken by the athletes in these two events, times200 and time800, are linearly related.
When a least squares line is fitted to the data, the equation of this line is found to be
time800 = 0.03931 + 5.2756 × time200
- Round the values for the intercept and the slope to three significant figures. Write your answers in the boxes provided. (1 mark)
time800= + × time200 - The mean and the standard deviation for each variable, time200 and time800, are shown in the table below.
The equation of the least squares line is
time800 = 0.03931 + 5.2756 × time200
Use this information to calculate the coefficient of determination as a percentage.Round your answer to the nearest percentage. (2 marks)