. Estimate: customers = B0 + B1 temperature + B2 weekend + e. (negative values should be indicated by a minus sign. Round your answers to 4 decimals places.) Customers=...............+............. temperature +.............weekend B. How many customers should the manager expect on a Sunday with a forecasted high temperature of 80 Celsius? (do not round intermediate calculations. Round final answers to 2 decimal places.) C-1. interpret the estimated coefficient for weekend a) The predicted number of customers is approximately 75 less on weekends than on a weekday, holding temperature the same. b) The predicted number of customers is approximately 46 more on weekends than on a weekday, holding temperature the same. c) The predicted number of customers is approximately 46 less on weekends than on a weekday, holding temperature the same. d) The predicted number of customers is approximately 75 more on weekends than on a weekday, holding temperature the same. C-2. is the variable weekend significant at the 5% level? a) Yes, since we reject the relevant H0 b) No, since we reject the relevant HO c) Yes, since we do no reject the relevant HO d) No, since we do not reject the relevant HO. C-3. How might this affect the store's staffing needs? a) The manager does not need to adjust staffing based on the day of the week b) The manager may want to plan on staffing the store with more employees on the weekends c) The manager may want to plan on staffing the store with less employees on the weekends d) The manager may want to plan on staffing the store with more employees on the weekends
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
1. A manager at an ice cream store to determine how many customers to expect on any given day. Overall business has been relatively steady over the past several years, but the customer count seems to have ups and downs. He collects data over 30 days and records the number of customers, the high temperature (in degrees Fahrenheit), and whether the day fell on the weekend (weekend equals 1 if weekend, 0 otherwise). A portion of the data is shown in the accompanying table.
Customers Temperature Weekend
385 70 0
423 75 1
505 74 0
343 68 1
519 73 1
595 81 1
656 90 0
584 82 1
438 74 1
447 69 1
360 76 1
425 78 1
705 90 1
736 75 0
532 71 0
462 64 1
375 66 1
450 70 1
453 62 0
668 90 0
681 90 0
528 93 0
562 87 1
545 81 1
437 82 1
337 77 0
650 70 1
754 85 0
448 72 1
442 61 1
A. Estimate: customers = B0 + B1 temperature + B2 weekend + e. (negative values should be indicated by a minus sign. Round your answers to 4 decimals places.)
Customers=...............+............. temperature +.............weekend
B. How many customers should the manager expect on a Sunday with a forecasted high temperature of 80 Celsius? (do not round intermediate calculations. Round final answers to 2 decimal places.)
C-1. interpret the estimated coefficient for weekend
a) The predicted number of customers is approximately 75 less on weekends than on a weekday, holding temperature the same.
b) The predicted number of customers is approximately 46 more on weekends than on a weekday, holding temperature the same.
c) The predicted number of customers is approximately 46 less on weekends than on a weekday, holding temperature the same.
d) The predicted number of customers is approximately 75 more on weekends than on a weekday, holding temperature the same.
C-2. is the variable weekend significant at the 5% level?
a) Yes, since we reject the relevant H0
b) No, since we reject the relevant HO
c) Yes, since we do no reject the relevant HO
d) No, since we do not reject the relevant HO.
C-3. How might this affect the store's staffing needs?
a) The manager does not need to adjust staffing based on the day of the week
b) The manager may want to plan on staffing the store with more employees on the weekends
c) The manager may want to plan on staffing the store with less employees on the weekends
d) The manager may want to plan on staffing the store with more employees on the weekends
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