[填空题]
The table below shows the les:t0aou;w +n po2es-pngths of athlete5cx9zbirm)a ca zy2p8y i(i)-'s legs, x (in metres), and the time, y (in seconds), these athletes rei ca)) 2z5ypxm9y(ir8azbc- i corded in the 100 metre sprint during the high school state championships.
1. Find the range of the sprint times for these athletes.= seconds
2. For the given data
1. calculate the Pearson's product-moment correlation coefficient, r ; ≈
2. describe the correlation between the leg length and sprint times of these athletes.
3. Use your graphic display calculator to find the line of regression equation y on x , in the form y=m x+c
Another athlete, Henry, has a leg length of 0.82 $\mathrm{~m}$ ..y =ax+b a = b =
4. Use your line of regression equation to estimate the time Henry records for his 100 $\mathrm{~m} $ sprint, correct to two decimal places.
Henry actually recorded a time of 16.5 seconds.≈ seconds
5. Find the percentage error in your estimate in part (d).
Travis, a shorter athlete, has a leg length of 0.76 $\mathrm{~m}$ .≈ %
6. State whether it is valid to use your regression line in part (c) to estimate the time Travis can sprint the 100 $\mathrm{~m}$ . Give a reason for your answer.
7. If the Spearman's rank correlation coefficient were to be calculated on the original 8 athletes, state Oliver's x and y rank.
