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Correlation/Linear Regression (20-25) The scatterplot below shows the drop height (in feet) and speed (in mph) of 75 rollerco

23. A simple linear regression performed on this data produces a regression model of: 9 38.44970.18257x. What is the interpre

Correlation/Linear Regression (20-25) The scatterplot below shows the drop height (in feet) and speed (in mph) of 75 rollercoasters. Answer the following questions using this data. Speed 80 70 60 50 40 50 100 150 200 250 300 Drop 20. Describe the scatterplot above. Be sure to use the three key descriptors 21. Which of the following is the most likely value of the correlation coefficient (r) for this data? (Circle one) A)r0.523 B)r 0.187 D)r 0.9097 D)r0.875 22. Which variable is the explanatory variable? (Circle one) A) Drop Height B) Speed
23. A simple linear regression performed on this data produces a regression model of: 9 38.44970.18257x. What is the interpretation of the value of the slope? 24. If a new rollercoaster is made with a drop height of 212 ft, what is the predicted speed of this new rollercoaster? (Hint: use the regression model in the previous question) 25. An extreme rollercoaster enthusiast wants to construct a rollercoaster with a drop height of 500 ft and they want to use the regression model to predict the speed.. Would this be a valid prediction? B) No A) Yes
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Answer #1

20. The scatterplot indicates that the variable drop height and speed have a positive relationship.

It indicates that they have a strong relationship.

It indicates a linear relationship between the two variables.

21. Answer D) r = 0.9097

22. Answer A) Drop Height

23. Interpretation of the slope:

If drop height is increase by 1 unit then the speed will increase by 0.18257 unit.

24. predicted speed for drop height of 212 is

38.44970.18257 212 77.15454

25. Answer B) No

Because the maximum range in scatterplot for drop height is 300. As the value 500 is outside the range of drop height. we cannot predict it.

it will not be a valid prediction.

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