Question

A student wonders if tall women tend to date taller men than do short women. She...

A student wonders if tall women tend to date taller men than do short women. She measures herself, her dormitory roommate, and the women in the adjoining rooms; then she measures the next man each woman dates. The data (heights in inches) are listed below.

Women (x) 67 64 69 64 70 65
Men (y) 72 70 68 71 70 63

(a) Make a scatterplot of these data. (Do this on paper. Your instructor may ask you to turn this in.) Based on the scatterplot, do you expect the correlation to be positive or negative? Near ± 1 or not?

The correlation should be positive. It should be near 1.

The correlation should be negative. It should be near -1.    

The correlation should be positive. It should not be near 1.

The correlation should be negative. It should not be near -1.


(b) Find the correlation r between the heights of the men and women. (Round your answer to three decimal places.)


(c) How would r change if all the men were 6 inches shorter than the heights given in the table? Does the correlation tell us whether women tend to date men taller than themselves?

r will not change. This correlation does imply that women tend to date men taller than themselves.

r will increase. This correlation does not imply that women tend to date men taller than themselves.    

r will not change. This correlation does not imply that women tend to date men taller than themselves.

r will decrease. This correlation does imply that women tend to date men taller than themselves.


(d) If heights were measured in centimeters rather than inches, how would the correlation change? (There are 2.54 centimeters in an inch.)

r will increase by 2.54.

r will be multiplied by 2.54.    

r will be divided by 2.54.

r will decrease by 2.54.

r will not change.


(e) If every woman dated a man exactly 3 inches taller than herself, what would be the correlation between male and female heights?

r will be equal to -1.

r will be equal to 1.    

r will be the same as the value in (b).

r will be equal to 0.

Homework Answers

Answer #1

a)

The correlation should be positive. It should not be near 1.

b)

correlation r='Sxy/(√Sxx*Syy) = 0.096

c)

r will not change. This correlation does not imply that women tend to date men taller than themselves.
d)

r will not change.

e)

r will be equal to 1.  

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Using the data given below, calculate the linear correlation between the two variables x and y....
Using the data given below, calculate the linear correlation between the two variables x and y. X 0 3 3 1 4 y 1 7 2 5 5 (a)        .794                 (b) .878            (c) .497            (d) .543 Refer to question 4. Assume you are using a 0.05 level of significance; is there a significant relationship between the two variables x and y? Yes                        (b) no The heights (in inches) and pulse rates (in beats per minutes) for a sample of 40...
Men tend to have longer feet than women. So, if you find a really long footprint...
Men tend to have longer feet than women. So, if you find a really long footprint at the scene of a crime, then in the absence of any other evidence, you would probably conclude that the criminal was a man. And conversely, if you find a really short footprint at the scene of a crime, then (again in the absence of any other information) you would probably conclude that the criminal was a woman. Where should the cut-offvalue be for...
1. Which correlation indicates a strong positive straight-line relationship? a. 0.4 b. -0.75 c. 1.5 d....
1. Which correlation indicates a strong positive straight-line relationship? a. 0.4 b. -0.75 c. 1.5 d. 0.0 e. 0.99 2. The correlation between two variables is of -0.8. We can conclude that a. an increase in one variable causes a decrease in the other variable. b. there is a strong, positive association between the two variables. c. there is a strong, negative association between the two variables. d. a decrease in one variable causes an increase in the other variable....
MATH220 Lab04 Due Date: See ACE Excel File: Lab2204-182.xlsx 1 Question 1: (by hand) A retail...
MATH220 Lab04 Due Date: See ACE Excel File: Lab2204-182.xlsx 1 Question 1: (by hand) A retail establishment accepts either the American Express card or the VISA credit card. A total of 30% of its customers carry an American Express card, 70% carry a VISA card, and 20% carry both. a) Find the probability that a randomly selected customer carries at least one of the two credit cards. i) Draw a Venn diagram and shade the region corresponding to at least...
1. What are the requirements for successful price discrimination? Does this type of dry cleaning qualify?...
1. What are the requirements for successful price discrimination? Does this type of dry cleaning qualify? 2. What are other examples of price discrimination? 3. The effectiveness of price discrimination is a different question than whether businesses should be able to discriminate by price. Is this an issue that deserves regulation, or is it best left to the market? Why Women Pay More From dry cleaning to haircuts, women often pay more than men due to gender pricing. Find out...
2. SECURING THE WORKFORCE Diversity management in X-tech, a Japanese organisation This case is intended to...
2. SECURING THE WORKFORCE Diversity management in X-tech, a Japanese organisation This case is intended to be used as a basis for class discussion rather than as an illustration of the effective or ineffective handling of an administrative situation. The name of the company is disguised. INTRODUCTION In light of demographic concerns, in 2012, the Japanese government initiated an effort to change the work environment in order to secure the workforce of the future. Japan is world renowned for its...
3 SECURING THE WORKFORCE Diversity management in X-tech, a Japanese organisation This case is intended to...
3 SECURING THE WORKFORCE Diversity management in X-tech, a Japanese organisation This case is intended to be used as a basis for class discussion rather than as an illustration of the effective or ineffective handling of an administrative situation. The name of the company is disguised. INTRODUCTION In light of demographic concerns, in 2012, the Japanese government initiated an effort to change the work environment in order to secure the workforce of the future. Japan is world renowned for its...
Gender Bias in the Executive Suite Worldwide The Grant Thornton International Business Report (IBR) has described...
Gender Bias in the Executive Suite Worldwide The Grant Thornton International Business Report (IBR) has described itself as "a quarterly survey of business leaders from across the globe … surveying 11,500 businesses in 40 economies across the globe on an annual basis." 1 According to the 2011 IBR, the Asia Pacific region had a higher percentage (27 percent) of female chief executive officers (CEOs) than Europe and North America. Japan is the only Asia Pacific region exception. The report further...
Please answer the following Case analysis questions 1-How is New Balance performing compared to its primary...
Please answer the following Case analysis questions 1-How is New Balance performing compared to its primary rivals? How will the acquisition of Reebok by Adidas impact the structure of the athletic shoe industry? Is this likely to be favorable or unfavorable for New Balance? 2- What issues does New Balance management need to address? 3-What recommendations would you make to New Balance Management? What does New Balance need to do to continue to be successful? Should management continue to invest...
Delta airlines case study Global strategy. Describe the current global strategy and provide evidence about how...
Delta airlines case study Global strategy. Describe the current global strategy and provide evidence about how the firms resources incompetencies support the given pressures regarding costs and local responsiveness. Describe entry modes have they usually used, and whether they are appropriate for the given strategy. Any key issues in their global strategy? casestudy: Atlanta, June 17, 2014. Sea of Delta employees and their families swarmed between food trucks, amusement park booths, and entertainment venues that were scattered throughout what would...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT