![alejandraluna95](/avatars/46269.jpg)
alejandraluna95
24.02.2021 •
Mathematics
6. A cafe owner wishes to improve on the efficiency of his cafe. One aspect that needs to be looked into is that of the rate at which customers are being served by the staff. The table below shows the number of weeks that eight employees have been working at the cafe and the average number of customers that each served per hour.
Weeks at cafe 8 5 15 3 10 2 13 6
Customers served 18.4 12.2 32.3 10 21 8.2 28.1 16.5
a. Draw a scatter diagram for the given set of data. Define the variable C to represent the average number of customers an employee served per hour and the variable w to represent the number of weeks that employee has been working at the cafe.
b. The owner decides to use a straight line to model the data. Is the owner justified? Give a reason for your answer.
c.
i. Calculate the correlation coefficient for the given data set.
ii. Use the method of least squares to determine the line of best fit.
iii. Graph the regression line on the scatter diagram in part a.
d. Estimate how many customers an employee should be able to serve in one hour if they have been working at the cafe for
i) 9 weeks
ii) 50 weeks
iii) What constraints can you see this model having?
Solved
Show answers
More tips
- A Art and Culture Who Said The Less We Love a Woman, the More She Likes Us ?...
- F Family and Home Parents or Environment: Who Has the Most Influence on a Child s Upbringing?...
- H Health and Medicine Is it true that working with a computer is harmful to your eyesight?...
- H Health and Medicine Boosting Immunity: A Complete Guide on How to Improve Your Body’s Natural Defenses...
- P Philosophy Unidentified Flying Object - What is the Nature of this Phenomenon?...
- C Computers and Internet How to Teach Older Generations to Work with Computers?...
- G Goods and services How to Choose a Coffee Maker? The Ultimate Guide for Coffee Lovers...
- C Computers and Internet Porn Banner: What It Is and How to Get Rid Of It?...
- F Food and Cooking How many stages of coffee roasting are there?...
- F Food and Cooking From Latte to Espresso: Which Coffee Drink is the Most Popular on Earth?...
Answers on questions: Mathematics
- M Mathematics The equation of a parabola is x2 = 8y. step 2: where does the vertex for the given parabola lie? enter the coordinate values of the vertex in the form (x, y)...
- M Mathematics I need help Brainliest for who ever answers first....
- H Health I am a 13 yr old girl and i have a question for girls or boys who disrepect there mom. Me and my mom don´t have a great realationship and i want to be a good daughter...
- M Mathematics What is m2 + m 23? Pls I need ASAP...
- H History Men when they enter into society, yield up part of their natural liberty, for the sake of being protected by government. If they yield up all their natural rights...
- M Mathematics Elian bought 1.87 pounds of chicken and 2.46 pounds of turkey at the deli about how much meat did he buy altogether...
Ответ:
30 * 15 * 12 = 5,400 cubic inches
231 cubic inches per gallon
5400 / 231 = 23.38 gallons
Not sure what units you need so I did both cubic inches and gallons. Hope this helps.