A department store sells a broad range of household products and offers a low-cost breakfast in its store restaurants to attract customers into the stores early in the day. A manager of one of these stores is making a loss on the breakfasts. He needs to know whether the breakfast attracts customers to shop for the more profitable household items, and he decides to calculate the correlation between the number of customers taking breakfast and the number buying household items. Analyze the following sample data that are collected during the course of one week. Complete parts (a) through (e) below. a) What is the correlation coefficient over the whole week? The correlation coefficient is (Round to four decimal places as needed.) b) What is the correlation coefficient over the weekdays only? The correlation coefficient is. (Round to four decimal places as needed.) c) What is the correlation coefficient on the weekend? The correlation coefficient is. (Round to four decimal places as needed.) d) How realistic are the above correlation coefficients for analyzing whether the number of customers buying household items is related to the number taking breakfast? Make an assessment about the correlation in part (a). Choose the correct answer below. O A. The correlation in (a) is misleading since there is a perfect straight line between all data points. O B. The correlation in (a) is misleading since there are two clusters of data points instead of an overall trend. OC. The correlation in (a) is misleading since there is a single outlier in the data. O D. The correlation in (a) is statistically sound since both variables are quantitative and the relationship is linear. Make an assessment about the correlation in part (b). Choose the correct answer below. O A. The correlation in (b) is statistically sound since both variables are quantitative and the relationship is linear O B. The correlation in (b) is misleading since the relationship between the data points is not linear. OC. The correlation in (b) is misleading since there is a single outlier in the data. O D. The correlation in (b) is misleading since the variables are not quantitative. Make an assessment about the correlation in part (c) Choose the correct answer below. O A. The correlation in (c) is misleading since there is a single outlier in the data O B. The correlation in (c) is statistically sound since both variables are quantitative and the relationship is linear. OC. The correlation in (c) is misleading since the relationship between the data points is not linear. O D. The correlation in (c) is misleading since there is always a perfect straight line betvween two data points. e) If the manager wants to extend this analysis with data covering several weeks, which correlations would h calculate? OA. The manager should combine weekends and weekdays and test them together. The manager should only calculate the correlation coefficients if the scatterplots of that data show a linear trend. O B. The manager should combine weekends and weekdays and test them together. The manager should only calculate the correlation coefficients if the scatterplots of that data show a non-linear trend. OC. The manager should separate data for weekends and weekdays and test them separately The manager should only calculate the correlation coefficients if the scatterplots of that data show a linear trend.
A department store sells a broad range of household products and offers a low-cost breakfast in its store restaurants to attract customers into the stores early in the day. A manager of one of these stores is making a loss on the breakfasts. He needs to know whether the breakfast attracts customers to shop for the more profitable household items, and he decides to calculate the correlation between the number of customers taking breakfast and the number buying household items. Analyze the following sample data that are collected during the course of one week. Complete parts (a) through (e) below. a) What is the correlation coefficient over the whole week? The correlation coefficient is (Round to four decimal places as needed.) b) What is the correlation coefficient over the weekdays only? The correlation coefficient is. (Round to four decimal places as needed.) c) What is the correlation coefficient on the weekend? The correlation coefficient is. (Round to four decimal places as needed.) d) How realistic are the above correlation coefficients for analyzing whether the number of customers buying household items is related to the number taking breakfast? Make an assessment about the correlation in part (a). Choose the correct answer below. O A. The correlation in (a) is misleading since there is a perfect straight line between all data points. O B. The correlation in (a) is misleading since there are two clusters of data points instead of an overall trend. OC. The correlation in (a) is misleading since there is a single outlier in the data. O D. The correlation in (a) is statistically sound since both variables are quantitative and the relationship is linear. Make an assessment about the correlation in part (b). Choose the correct answer below. O A. The correlation in (b) is statistically sound since both variables are quantitative and the relationship is linear O B. The correlation in (b) is misleading since the relationship between the data points is not linear. OC. The correlation in (b) is misleading since there is a single outlier in the data. O D. The correlation in (b) is misleading since the variables are not quantitative. Make an assessment about the correlation in part (c) Choose the correct answer below. O A. The correlation in (c) is misleading since there is a single outlier in the data O B. The correlation in (c) is statistically sound since both variables are quantitative and the relationship is linear. OC. The correlation in (c) is misleading since the relationship between the data points is not linear. O D. The correlation in (c) is misleading since there is always a perfect straight line betvween two data points. e) If the manager wants to extend this analysis with data covering several weeks, which correlations would h calculate? OA. The manager should combine weekends and weekdays and test them together. The manager should only calculate the correlation coefficients if the scatterplots of that data show a linear trend. O B. The manager should combine weekends and weekdays and test them together. The manager should only calculate the correlation coefficients if the scatterplots of that data show a non-linear trend. OC. The manager should separate data for weekends and weekdays and test them separately The manager should only calculate the correlation coefficients if the scatterplots of that data show a linear trend.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman