James Faulkner, Taylor Higginson, Jonathan Quinonez, and Jason Turner

Math 1040 Group 8 Project

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

Research Question

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.

Study Design

Name of the Restaurant Number of Seats Average Price per Entrée

Sage's Café 42 15.2

Pagoda 75 15.2

Em's 75 17.86

Copper Onion 85 15.32

Cafe Trio 95 13.6

Bayleaf 99 9.22

Vinto 99 10.25

Tin Angel 100 16.93

Caffe Molise 106 18.79

Eva's 110 13.1

Stoneground 116 12.85

Collected Data

30 restaurants were interviewed

Name of the Restaurant Number of Seats Average Price per Entrée

Aristos 120 10.72

Red Iguana 120 12.6

Settebello 125 12.21

Utah Bayou 143 13.45

The Wild Grape 150 18.01

Sawadee 150 12.67

Faustina 160 20.72

Cannella's 160 15.92

Bambara 196 20.27

Garden Cafe 225 22.17

Sizzler 240 9.32

Lambs Grill 240 26.36

Data Continued

Name of the Restaurant Number of Seats Average Price per Entrée

PF Chang 250 16.2

Market Street 257 27.21

Red Rock 275 17.84

Olive Garden 275 14.53

Gracies 352 21.57

Ruth's Chris 400 40.31

Squatters 492 12.16

Data Continued

Data Summary

Histogram Seating CapacityThe number of

restaurants having seating capacities of 100-200 seats is 13 restaurants.

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.

Boxplots – seating capacity and average entrée price

Scatter Plot

Bar Chart

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.

James Faulkner – Histograms and conclusionTaylor Higgins – Scatterplot and bar chartJason Turner – Layout, pictures, and dataJonathan Quinonez – Design, box plots, and results

Group Participation