A study of emergency service facilities investigated the relationship between the number of facilities and the average distance traveled to provide the emergency service. The following table gives the data collected.

Does a simple linear regression model appear to be appropriate? Explain.

- No, or Yes; the relationship appears to be - curvilinear or linear

c. Develop an estimated regression equation for the data that you believe will best explain the relationship between these two variables. (Enter negative values as negative numbers).

Several possible models can be fitted to these data, as shown below: (to 3 decimals)

Y=____+____X+_____X^2

What is the value of the coefficient of determination? R2 between 0 and 1. (to 3 decimals)

________

Y=________+_________ 1/X

What is the value of the coefficient of determination? R2 between 0 and 1. (to 3 decimals)

Two Sample t-test (16pts): Suppose you are interested in deciding if the 1990 Toyota Four Runner has been equally reliable as the 1990 Honda Passport. You go out a randomly sample of 5 people who own a 1990 Toyota and 5 other people who own a 1990 Honda and you ask them how often they have to take their vehicles in for maintenance. Here are your data (in thousands of miles): Toyota: 31 35 32 34 30 Honda: 29 33 28 31 27

a) State the null and alternative hypotheses (2pts)

b) Compute the means and standard deviations of the two samples (2-pts)

c) Compute the two sample t-statistic (2 pts) c) How many degrees of freedom do you have? (3pts)

d) Compute the P-value (4pts)

e) At an alpha = 0.05 would you accept or reject the null hypothesis? (3pts)

1. In 2016, a small dealership leased 21 Subaru Outbacks on 2-year leases. When the cars were returned in 2018, the mileage was recorded (see below).  

a.       Using the 10 percent level of significance, is the dealer's mean significantly greater than the national average of 30,000 miles for 2-year leased vehicles? Follow and show the 7 steps for hypothesis testing.

b.       Determine the p-value and interpret its meaning.

c.       What assumption must you make about the population distribution in order to conduct the test in part a? Is the assumption valid? Use and include an appropriate graph from Minitab. Write a couple of sentences supporting your answer.  

d.       Verify your results (in parts a - c) using Minitab.

For my BUS LAW I , chapter 13

In August of 2014, Duncan went to Smith Motors to look for a used car to buy. He test-drove a 2008 Corvette with an odometer reading of 52,000. Duncan assumed that the heater worked, but he did not turn it on to test it because it was so hot outside. The salesperson assured him that the car was in "mint condition." Duncan decided to buy the car. He later learned that the heater was broken, the radio would not work, the car would not start when the temperature dropped below 40 degrees, and that the car really had 152,000 -- not 52,000 -- miles on it.

Questions for discussion in your first post:  

• Can Duncan get out of this contract and get his money back? Why or why not?
• Did Smith Motors have a duty to disclose the defects in the car?

Questions for discussion in your remaining posts:

• Was the statement that the car was in "mint condition" a misrepresentation?
• Did Duncan have the obligation to investigate the car more thoroughly?

I do not know how to solve this problem.

A manufacture in Ontario has been fined because it has been releasing 5 L/s effluent having
zinc concentration of 0.1 mg/L into a river. Upstream of the factory, the stream water rate is
100 L/s with zinc concentration of approximately zero. The factory has been forced to
reduce the zinc concentration of the effluent to below 20 μg/L. The engineer that is an
employee of the factory recommends that they divert parts of the stream into the site and
dilute the effluent to bring its zinc concentration to the required level.
a) Calculate the present concentration of zinc several miles downstream of the plant
where the zinc is diluted in stream completely.
b) Compute the amount of water needed to be diverted to the site to achieve the required
zinc concentration of effluent.
c) Determine the concentration of zinc downstream of the plant where the zinc is diluted
in stream completely if the engineer’s plan is put into operation.

In the 1991 Gulf War, the Patriot missile defense system failed due to round off error. The troubles stemmed from a computer that performed the tracking calculations with an internal clock whose integer values in tenths of a second were converted to seconds by multiplying by a 24-bit binary approximation to one tenth:

0.1₁₀ ≈ 0.00011001100110011001100₂

(a) Convert the binary number to a decimal. Call it x.

(You may use Maple convert command: > x:=convert(0.00011001100110011001100,decimal,binary)

(b) What is the absolute error in this number; i.e., what is the absolute value of the difference between x and 0.1?

(c) What is the time error in seconds after 100 hours of operation (i.e., |3,600,000(0.1-x)|)?

(d) During the 1991 war, a Scud missile traveled at approximately MACH 5 (3750 miles per hour). Find the distance that a Scud missile would travel during the time error computed in (c).

1. Calculate the molecular mass (in g/mole) for heavy water, D2O, where D is 2H.

2. Calculate based on the relative abundance of the three main isotopes of silicon the average atomic mass of Si and compare your results with the value in your Table of Elements (28Si(92.2%), 29Si(4.7%), (30Si(3.1%))

3. Calculate the molar mass of H2SO4 , KClO4, and H3PO4.

4. How many grams of deuterium (D is 2H) are in 50 grams of Heavy water (D2O)?

5. A helium balloon is launched into the atmosphere. If balloon's volume is 4.19x103 liters at 22.5 C and the atmospheric pressure is 754 mm Hg, what will be the balloon's volume at a height of 20 miles where the pressure is 76 mm Hg and the temperature is -33 C.

No helium is escaped from the balloon. Hint: use the ideal gas law at constant umber of moles (n). Temperature should be expressed in K.

1. What is the difference between legal and equitable remedies?
A buyer contracts to buy a 1941 four-door Cadillac convertible from a seller for $75,000. The seller, having found a third party who will pay $85,000 for the car, refuses to sell to the buyer. What is the buyer’s remedy? Assume the third party had paid the $85,000 and the seller was ordered to sell to the buyer. What is the third party’s remedy?
Professor Smith contracts to teach business law at State University for the academic year. After the first term is over, she quits. Can State University get an order of specific performance or an injunction requiring Professor Smith to return for the second term? Now suppose that the reason Professor Smith quit work at State University is because she got a better job at Central University, fifteen miles away. Can State University get an injunction prohibiting her from teaching at Central University?

A researcher followed a cohort for 10 years after the Aliso canyon gas spill. The researcher interviewed 290 residents. 140 residents lived within a 2 mile radius of the leak and were classified as exposed and 150 residents lived more than 5 miles away and were considered unexposed. In total 120 of the 140 residents exposed to the gas developed respiratory problems and 10 of the 150 not exposed to the gas developed respiratory problems.