1. The data on the maximum height (feet) and top speed (mph) of the 12 highest roller coasters are listed below
2. Plot the scatter diagram ofHeight (x-axis) versusSpeed (y-axis).
3. Calculate the Pearson correlation betweenHeight andSpeed.
4. Conduct a simple regression analysis and obtain the least square fit forSpeed (response variable) onHeight (predictor).
5. Write down the hypotheses (null and alternative) for testing the association betweenHeight andSpeed using a linear line.
6. What proportion of the variability inSpeed is explained by the straight regression line?
7. Do the data provide sufficient evidence to indicate that there is a significant association betweenHeight andSpeed? (Use type I error at 0.05)
8. Interpret the point estimate of the slope in the fitted regression in 3).
9. Find a 95% confidence interval for the slope ofHeight.
10. What top speed is predicted for a new roller coaster of height 490 feet? Also provides the corresponding prediction interval.
11. What additional danger is there in the prediction in question 9)?

Height	Speed
456	128
420	120
415	100
377	107
318	95
310	93
263	81
259	81
249	78
245	85
240	79
235	85