BUSI 230 HW 4.1 Correlation Assignment solutions complete answers
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Select the appropriate word or phrase to complete the sentence.
Bivariate data consist of
In , ordered pairs are plotted on a set of axes.
Two variables have a if the data tend to cluster around a straight line.
The correlation coefficient measures only the strength of the between variables.
Compute the correlation coefficient.
Determine whether the correlation coefficient is an appropriate summary for the scatterplot and explain your reasoning.
Determine whether the association between the two variables is positive or negative.
The number of miles on a car's odometer and its resale value
The association between the number of miles on a car's odometer and its resale value is
The weight of a car (in pounds) and its fuel efficiency (in miles per gallon)
The association between the weight of a car (in pounds) and its fuel efficiency (in miles per gallon) is
The age of a car and the number of miles on its odometer
The association between the age of a car and the number of miles on its odometer
Price of eggs and milk: The following table presents the average price in dollars for a dozen eggs and a gallon of milk for each month from March through October .
(a) Construct a scatter plot of the price of milk versus the price of eggs .
(b) Compute the correlation coefficient between the price of eggs and the price of milk. Round the answer to at least three decimal places.
(c) In a month where the price of eggs is above average, would you expect the price of milk to be above average or below average? Explain.
(d) Which of the following is the best interpretation of the correlation coefficient?
Government funding: The following table presents the budget (in millions of dollars) for selected organizations that received U.S. government funding for arts and culture in both and .
(a) Construct a scatterplot of the funding in versus the funding in .
(b) Compute the correlation coefficient between the funding in and the funding in . Round the answer to at least three decimal places.
(c) For an organization whose funding in was above the average, would you expect their funding in to be above or below average? Explain.
(d) Which of the following is the best interpretation of the correlation coefficient?
Foot temperatures: Foot ulcers are a common problem for people with diabetes. Higher skin temperatures on the foot indicate an increased risk of ulcers. In a study performed at the Colorado School of Mines, skin temperatures on both feet were measured, in degrees Fahrenheit, for diabetic patients. The results are presented in the following table. Use a TI- Plus calculator to answer the following.
(a) Construct a scatterplot of the right foot temperature versus the left foot temperature .
(b) Compute the correlation coefficient between the temperatures of the left and right feet. Round the answer to at least three decimal places.
(c) If a patient's left foot is cooler than the average, would you expect the patient's right foot to be warmer or cooler than average? Explain.
(d) Which of the following is the best interpretation of the correlation coefficient?
