Given the following information, what investigative question would most likely fit the situation: Number of fire trucks and amount of fire damage. Show your work here How does the number of fire trucks affect the amount of fire damage in a given city? How does the number of fire trucks affect the number of fire hydrants in a given city? How does the number of fire hydrants affect the amount of fire damage in a given city? Does the number of fire trucks affect the amount of fire damage in a given city?
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The two main variables are the number of fire trucks and the amount of fire damage. Show more…
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Explain why one would expect to find a positive correlation between the number of fire engines that respond to a fire and the amount of damage done in the fire. Does this mean that the damage would be less extensive if fewer fire engines were dispatched? Explain.
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Distance and Fire damage from fire Station (see file: Fire) A fire insurance company wants to relate the amount of fire damage in major residential fires to the distance between the burning house and the nearest fire station. A sample of recent fires is selected from a large suburb of a major city. Miles is the distance between the fire and the nearest fire station; Damage is the amount of damage in thousands of dollars. Miles Damage 3.4 26.2 1.8 17.8 4.6 31.3 2.3 23.1 3.1 27.5 5.5 36.0 0.7 14.1 3.0 22.3 2.6 19.6 4.3 31.3 2.1 24.0 1.1 17.3 6.1 43.2 4.7 36.4 3.8 26.1 a. Find the mean, standard deviation, minimum and maximum of the variables distance and fire damage. Interpret your findings. b. What is the correlation coefficient between distance and fire damage? Is the sign and magnitude of the coefficient consistent with intuition? Explain. c. Depict a scatter plot of the relationship between distance and fire damage. Is your finding consistent with finding in (b)? Explain. d. What conclusion can you reach about the relationship between distance and fire damage? Explain briefly.
Studies have shown that the number of fire engines at a fire and the amount of damage done by the fire are highly and positively correlated. Which of the following conclusions seems most appropriate? As few fire engines to fire as possible, the presence of more fire engines tends to cause more confusion, leading to greater fire damage. The number of fire engines and the amount of fire damage are both related to a third factor - the size of the fire - and so are correlated to one another. Fires and fire engines have something in common - they are both red. None of the above. 20. The correlation of two variables, denoted as r, is 0.95. This means that: increases tend to increase, and the relationship between the two is nearly linear. None of the above. 21. A coffee shop finds that the correlation between daily high temperature and daily sales is 0.74. The interpretation of this value is as follows: The value of sales falls approximately 0.74 for each degree that the temperature increases. None of the above.
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