HW_13_S10[1]

HW_13_S10[1] - AEM 2100 Spring 2010 Homework 13 Name...

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AEM 2100 Name: _________________ Spring 2010 Section:_________________ Homework 13 This homework is not to be handed in. The answer key will be on the web page. 1.) A student wonders whether people of similar heights tend to date each other. She measures herself, her dormitory roommate, and the women in the adjoining rooms; then she measures the next man each woman dates. Here are the data (heights are recorded in inches). Height of Woman (x) 6 6 6 4 6 6 6 5 7 0 65 Height of Man (y) 7 2 6 8 7 0 6 8 7 1 65 a.) Make a scatter plot of the data. b.) Based on the scatter plot, do you expect the correlation to be positive or negative? Is it strong, moderate, or weak? c.) Compute the correlation coefficient between the heights of the men and the women. d.) Does the correlation help answer the question of whether a woman’s height causes her to date men of a certain height? Explain. e.) How would r change if all the men were 12 inches shorter than the heights given in the table? f.) If every woman dated a man exactly 3 inches taller than she, what would be the correlation coefficient between male and female heights? g.) Suppose the heights of the men were measured in centimeters (cm) rather than in inches, but that the heights of the women remained in inches. (There are 2.54 cm to an inch.) Now what would be the correlation coefficient between male and female heights?
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2.) The State Department of Transportation has conducted a study of 100 randomly selected vehicles in which the speed of the vehicle and age of the driver were measured. The data were collected from a stretch of highway that produces an unusually high accident rate. A regression model was developed, with vehicle speed being predicted using age as the independent variable. The results obtained were: ö y = 56.78 + 0.124x, s b 1 = 2.88 a.) Develop a 95% interval estimate for the true regression slope.
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This note was uploaded on 08/25/2010 for the course AEM 2100 taught by Professor Vanes,c. during the Spring '08 term at Cornell.

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HW_13_S10[1] - AEM 2100 Spring 2010 Homework 13 Name...

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