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Math 1040 Group 8 Project

Math 1040 Group 8 Project. James Faulkner, Taylor Higginson, Jonathan Quinonez , and Jason Turner. Research Question. For mid- to high-range restaurants in downtown Salt Lake City, is the total seating capacity related to the average price per entrée?. Study Design.

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Math 1040 Group 8 Project

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  1. Math 1040 Group 8 Project James Faulkner, Taylor Higginson, Jonathan Quinonez, and Jason Turner

  2. Research Question • For mid- to high-range restaurants in downtown Salt Lake City, is the total seating capacity related to the average price per entrée?

  3. Study Design • A number of “mid-to-high” range restaurants were collected from online sites (Ex. Fromer’s) for downtown Salt Lake City (SLC).. • Group members travelled to restaurants in downtown SLC and recorded seating capacity for selected restaurants • Average entrée prices were calculated by averaging the total prices for lunch and dinner entrée menus.

  4. Collected Data 30 restaurants were interviewed

  5. Data Continued

  6. Data Continued

  7. Data Summary

  8. Histogram Seating Capacity • The number of restaurants having seating capacities of 100-200 seats is 13 restaurants.

  9. Average Entrée Price Histogram • A total of 22 restaurants had an average entrée price between USD$9.00 and USD$18.00. • One restaurant had an average entrée price between USD$36.00 and USD$45.00.

  10. Boxplots – seating capacity and average entrée price

  11. Scatter Plot

  12. Bar Chart

  13. Results • Critical value from Pearson’s table (d.f = 28) • 0.361 • Critical value from regression line • 0.455 • 0.455 > 0.361 • This implies a statistically significant relationship between seating capacity and average entrée price. • The above graph shows a weak trend between seating capacity and average entrée price. • There appears to be a correlation between the size of a restaurant and the price of its menu. Possible causes for this positive relationship would be that a large restaurant is most likely successful enough to occupy a large space and seat a lot of people; thus, the restaurant is also able to set its prices high due to its large and loyal customer base. However, this doesn’t necessarily mean there is a definite causal relationship. Just having a big restaurant doesn’t automatically get a restaurant a high priced menu; although it seems bigger restaurants are slightly more likely to be pricier.

  14. Group Participation • James Faulkner – Histograms and conclusion • Taylor Higgins – Scatterplot and bar chart • Jason Turner – Layout, pictures, and data • Jonathan Quinonez – Design, box plots, and results

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