A random sample of 20 workers in a factory were asked to report the age of their car and how many miles the vehicle had on it. A computer printout resulted in the following information.

1. Find the LSRL
2. A new worker starts next week and we know that his car is 7 years old, how many miles would you expect to be on his car?
3. Interpret the slope of the LSRL in the context of this problem.
4. Find a 95% confidence interval for the slope of the LSRL
5. Without calculating it what do you know about an 85% confidence interval compared to your answer in part b?

A sociologist was hired by a large city hospital to investigate the relationship between the number of unauthorized days that employees are absent per year and the distance (miles) between home and work for the employees. A sample of 10 employees was chosen, and the following data were collected.  Use the estimated regression equation developed in part (c) to develop a 95% confidence interval for the expected number of days absent for employees living 5 miles from the company (to 1 decimal). Least squares equation from part c:
Days Absent = 7.269 + -0.194 Distance

Write MATLAB script programs to perform the following conversions, taking a value in SI units as the input argument and returning the value to US Customary Units.

a. Length: Centimeters to inches

b. Temperature: °C to °F

c. Force: Newton to Pound-force

d. Speed: Meters per second to miles per hour

Write MATLAB functions to perform the following conversions, taking a value in SI units as the input argument and returning the value to US Customary Units.

a. Length: Centimeters to inches

b. Temperature: °C to °F

c. Force: Newton to Pound-force

d. Speed: Meters per second to miles per hour

Provide the source code and use the following data:

a. 5 centimeter

b. 10 °C

c. 100 Newtown

d. 100 Meters per second

R-Studio (R Programming Language)

1. How would you create a vector `V` containing the values 0, 0.25, 0.5, 0.75, and 1?
  
```{r}
#insert your code
```

2. Name the elements of `V`: first, second, middle, fourth, last. Describe two ways of naming elements in `V`

```{r}
#insert your code
```

3. Suppose you keep track of your mileage each time you fill up. At your last 6 fill-ups the mileage was
65311 65624 65908 66219 66499 66821 67145 67447. Enter these numbers into R as vector `miles`. Use the function `diff` on the data `miles`. What does it give? Use `sum` on the computed differences to find the total travelled distance.

```{r}
#insert your code
```

OfficeComfort manufactures three ergonomic chair: Basic, Deluxe, Contemporary

It has four departments: Assembly, Finishing, QualityControl, Packaging with number of workers (12, 3, 20, and 2 respectively).

• The company works one shift of 8 hours
• Management has set minimum production numbers for each product in order to maintain staff proficiencies. Each product must make up at least 20% of total production.
• Demand exceeds capacity for all products

One of the most popular tourist destinations in the US is Las Vegas. Unlike many other destinations in the US, price discrimination is common in Las Vegas, with many businesses regularly offering discounts to local residents for food and drink, entertainment and even hotel rooms. Why do you suppose these local’s discounts are common in Las Vegas but not other US cities? How is this pricing policy similar to the one described for the Buddhist temple in Laos?

1. Do you think the price elasticity of either supply or demand for airline flights to France (from the U.S.) will increase, decrease, or remain the same for each event? Explain your answer.

   1. Relations between the US and France break down, causing Americans to need an expensive visa to visit.

   2. The price of oil for airlines increases.

   3. The price of baguettes falls.

   4. The French real estate market takes a dive, causing AirBnB and hotel prices to drop significantly.

Cindy moved to Seattle from Portland to work as a software engineer in 2002.  Assume she meets the duration test.  She incurs moving expenses of:  $10,000 for the movers (she could have paid $5,000 for a cheaper moving company); hotel fees of $1,000 on route to Seattle, $100 in meals while on route to Seattle, and closing costs of $3,000 for her new home.  All of these fees qualify for the moving expense deduction.True/False and Explain.

Consider the game of craps designed by Econ 261 Hotel students. The game consists of rolling two fair six-sided dice. You win a dollar if the sum of the dots on the two dice is 2, 3, 4, or 5; if the sum of the dots on the two dice is 9, 10, 11, or 12 you lose a dollar. You win nothing, (that is you get $0) if the sum is 6, 7, or 8. The variance of X, Var(X) is:

“Marriott International announced in November 2018 that attackers had stolen data

on approximately 500 million customers. The breach initially occurred on systems

supporting Starwood hotel brands starting in 2014. The attackers remained in the

system after Marriott acquired Starwood in 2016 and were not discovered

until September 2018.”(sourced from a published report)

Referring to the case given, list and explain 2 steps that can help prevent data breach like this.