Study 2: Scott’s Spaghetti
Scott recently opened a new restaurant in the city, ‘Scott’s
Spaghetti’. Scott has been in the food industry for a while and was
able to ask his friends for some data on their current restaurants.
He collected data on website hits and weekly revenue to decide if
creating a website was worth his time.
Your task is to answer the following questions:
What sampling technique did Scott use?
Which variable is independent? Which variable is dependent?
Why would Scott have chosen to use simple linear regression to address his question?
Before you create a scatter plot or calculate slope what do you suspect that you will find?
Create a scatter plot of the data. Does this confirm your suspicions from question 4?
What is the correlation coefficient, r. What does this tell us? Does it confirm or contradict your preconceived ideas (before making the scatter plot), and the scatter plot?
Scott decided not to fit a linear regression to his data set. Why?
Restaurant Revenue and Website Hits (n = 10 restaurants) | |||||||
Restaurant | Web Hits | Revenue | |||||
John's Café | 1213 | $12,113 | |||||
Buccan | 1490 | 11,409 | |||||
New City Diner | 1365 | 14,579 | |||||
Black Pearl | 1455 | 11,605 | |||||
Saratoga | 1269 | 12,308 | |||||
Burnt Toast | 1632 | 12,320 | |||||
University Seat | 1323 | 13,225 | |||||
Jimmy's | 1865 | 13,652 | |||||
Marron and Orange | 1590 | 13,893 | |||||
Burger Palace | 1878 | 13,896 | |||||
Note: Data are for one week. | |||||||
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