A statistical program is recommended.

A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized:

y = β₀ + β₁x + ε

where

• y = traffic flow in vehicles per hour
• x = vehicle speed in miles per hour.

The following data were collected during rush hour for six highways leading out of the city.

In working further with this problem, statisticians suggested the use of the following curvilinear estimated regression equation.

ŷ = b₀ + b₁x + b₂x²

(a)

Develop an estimated regression equation for the data of the form

ŷ = b₀ + b₁x + b₂x².

(Round b₀ to the nearest integer and b₁ to two decimal places and b₂ to three decimal places.)ŷ =

(b)

Use α = 0.01 to test for a significant relationship.

State the null and alternative hypotheses.

H₀: b₁ = b₂ = 0
H_a: One or more of the parameters is not equal to zero.H₀: b₀ = b₁ = b₂ = 0
H_a: One or more of the parameters is not equal to zero.    H₀: One or more of the parameters is not equal to zero.
H_a: b₀ = b₁ = b₂ = 0H₀: One or more of the parameters is not equal to zero.
H_a: b₁ = b₂ = 0

Find the value of the test statistic. (Round your answer to two decimal places.)

Find the p-value. (Round your answer to three decimal places.)

p-value =

What is your conclusion?

Reject H₀. We conclude that the relationship is significant.Do not reject H₀. We cannot conclude that the relationship is significant.    Reject H₀. We cannot conclude that the relationship is significant.Do not reject H₀. We conclude that the relationship is significant.

(c)

Base on the model predict the traffic flow in vehicles per hour at a speed of 38 miles per hour. (Round your answer to two decimal places.)

vehicles per hour

Green Co. issued note receivable in January, 2017. Assuming the market interest rate is 10% per annum, how much would Green Co. record as an interest revenue for 2017 if the terms of the note are that it would be a two-year, $120,000 note bearing interest at 8 percent annually? (The present value of $1 for one and two period at 10% is 0.90909 and 0.82645).

a. $9,267.

b. $11,584.

c. $0.

d. $9,600.

A non-dividend-paying stock currently sells for $100 per share. The risk-free rate is 8% per annum and the volatility is 13.48% per annum. Consider a European call option on the stock with a strike price of $100 and the time to maturity is one year. a. Calculate u, d, and p for a two-step tree. b. Value the option using a two-step tree. Verify your results with the Option Calculator Spreadsheet.

For a population with a mean equal to 150 and a standard deviation equal to 25, calculate the standard error of the mean for the following sample sizes. a) 20 b) 40 c) 60

a) The standard error of the mean for a sample size of 20 is .______ (Round to two decimal places as needed.)

b) The standard error of the mean for a sample size of 40 is . ______(Round to two decimal places as needed.)

c) The standard error of the mean for a sample size of 60 is .______ (Round to two decimal places as needed.)

You have a 40- lightbulb and a 100-W bulb.

1. Find the resistances of the 40-W bulb. Take that ΔV = 120 V.

2. Find the resistances of the 100-W bulb. Take that ΔV = 120 V.

3. If the two bulbs are connected separately, which of them will be brighter?

4. If the two bulbs are connected in series to a battery source, which of them will be brighter?

5. If the two bulbs are connected in parallel to a battery source, which of them will be brighter?

The Krasnapolski is a top-of-the-line hotel in Amsterdam, the Netherlands. Among their many services, they rent bicycles to guests. The bicycle checkout is open 24 hours per day 7 days per week and has 50 bicycles on hand. On average, 10 guests request a bicycle each day, arriving completely randomly at all times of the day during the spring and summer seasons. Guests keep bicycles for four days on average, with a standard deviation of two days. Remember: any time you see the term "random" associated with the job arrivals it means the coefficient of variation is equal to one; that is, the standard deviation in the time between arrivals is equal to the mean time between arrivals.

How long does a guest on average have to wait for a bike?

1. Approximately 47 minutes

2. Approximately 4 days

3. Approximately 24 hours

4. Approximately 0.033 hours

BUSINESS LAW FOR ACCOUNTING :

Demonstrate your knowledge of Public Law (Criminal Law, Quasi-Criminal Law, Administrative Law) and Private Law (Contract Law and Tort Law) in following scenario.
John works at Joe’s Garage as a general laborer. His duties usually include cleaning the floors, driving cars in an out of the shop, picking up parts from suppliers, etc. One day, the shop was short-handed and John volunteered to do the brake job on customer Mary’s vehicle. He told the shop foreman, “I’ve done this many times on my own car.” The foreman allowed John to work on Mary’s car. After the service was completed, John took Mary’s vehicle for a test drive despite having no car insurance. While on the test drive, John drives the vehicle up to 80km/hr on a street where the speed limit is 40km/hr. He then runs a red light and collides with a vehicle driven by Jane. Jane, a single mom of a 3 year-old infant, is paralyzed by the accident.
Identify FOUR distinct Public Law or Private Law issues or liability in this scenario. For each issue, identify the parties on both sides of the issue and the likely legal outcome.

I live in Rapid City and commute to Spearfish. I leave Rapid City by 6 minutes after 8 and get onto I-90 at Exit 52. I must exit I-90 at Exit 12 by no later than 8:50 so that I am not late for class. Normally, I can drive the speed limit and make it on time.

Over the past few years there has been a lot of construction on Interstate 90. For example, last year 4 miles of road was under construction between Mile Marker 26 and 30 (Sturgis). The posted speed limit in the construction zone (single lane -- do not pass) is 55 mph, but I always end up behind someone that is going only 49mph. When I am not in the Construction Zone, what is the minimum speed that I have to drive, so that I can be at Exit 12 by 8:50?

Mr. Asimov must replace the 8 robots on his assembly line. The Robo100 model costs $30152 per robot and they will last for three years. The EconoRobo model costs $10878 per robot and will last for two years. The Robo100 models will have an end of life salvage value of $7553 each. The EconoRobo models will not have any value at the end of their lives. The Robo100 models are also more energy efficient and it is estimated Mr. Asimov will be able to save a total of $3595 per year in energy costs. Mr. Asimov uses a MARR of 10% to evaluate potential investments. Using present worth analysis, what is the present worth of the Robo100 system? Notes: Assume all robots on the assembly line are replaced.

Equivalent annual annuity ) Rib & Wings-R-Us is considering the purchase of a new smoker oven for cooking barbecue, ribs, and wings. It is looking at two different ovens. The first is a relatively standard smoker and would cost $ 49,000 , last for 9 years, and produce annual cash flows of $ 14,000 per year. The alternative is the deluxe, award-winning Smoke-alator, which costs $ 80,000 and, because of its patented humidity control, produces the "moistest, tastiest barbecue in the world." The Smoke-alator would last for 13 years and produce cash flows of $20,000 per year. Assuming a required rate of return of 8 percent on both projects, compute their equivalent annual annuities (EAAs ).

The EAA of the standard smoker is $?.

The EAA of the Smoke-alator is $?