Question

Use the data in the table to answer the question. Citations are "speeding tickets." You may fill in the table to help you answer the question. Original data Line of "best guess" Line of best fit Mph greater than speed limit Number of citations Outputs Residuals Outputs Residuals 5 3 7.5 6 10 10 15 5 20 6 Use a calculator or online resource to find the correlation coefficient and interpret what it means. The correlation coefficient is 0.6. Since that value is closer to 1 than 0, there is a moderately strong correlation between driving fast and getting a ticket. However, you cannot conclude that driving faster increases your chances of getting a speeding ticket. The correlation coefficient is 0.6. Since that value is closer to 1 than 0, there is a moderately strong correlation between driving fast and getting a ticket. Therefore, you can conclude that driving faster increases your chances of getting a speeding ticket. The correlation coefficient is 0.16. Since that value is closer to 0 than 1, there is a weak correlation between driving fast and getting a ticket. However, you cannot conclude that driving faster decreases your chances of getting a speeding ticket. The correlation coefficient is 0.16. Since that value is closer to 0 than 1, there is a weak correlation between driving fast and getting a ticket. Therefore, you can conclude that driving faster decreases your chances of getting a speeding ticket.

Answer 1

We are given the following data:

Number of citations 5 7.5 10 15 20
Outputs Residuals   3  6 10 15 5  6

Plot the data on a graph to get the correlation of the two input data.

The correlation coefficient based on this data is 0.16. Since that value is closer to 0 than 1, there is a weak correlation between driving fast and getting a ticket. However, you cannot conclude that driving faster decreases your chances of getting a speeding ticket.