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.

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 =

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 =

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 hou

question 2-

A statistical program is recommended.

Car manufacturers produced a variety of classic cars that continue to increase in value. Suppose the following data is based upon the Martin Rating System for Collectible Cars, and shows the rarity rating (1–20) and the high price ($1,000) for 15 classic cars.

Develop an estimated multiple regression equation with x = rarity rating and

x²

as the two independent variables. (Round b₀ and b₁ to the nearest integer and b₂ to one decimal place.)

ŷ =

Consider the nonlinear relationship shown by equation (16.7):

E(y) = β₀β₁^x

Use logarithms to develop an estimated regression equation for this model. (Round b₀ to three decimal places and b₁ to four decimal places.)

log(ŷ) =

ACC 3010 Project 3 Part 1

The patient is a 38 year old male plant manager and new long distance runner presenting with complaints of left anterolateral hip and thigh pain. He was referred to physiotherapy from his orthopedist, who diagnosed him with greater trochanteric bursitis.
His onset of symptoms was 6 weeks prior to the initial evaluation, after running a marathon (26.2 miles). By the end of the race, he was in intense, constant pain, rated at a 5/10 that remained constant for 3 days after. His symptoms became intermittent, and have not changed much since that time. His plan was to run 4 marathons in the next year, but he has stopped running completely, as every time he runs the pain comes back to the same intensity it was immediately after the race.
Since becoming symptomatic he has tried many stretches and strengthening exercises he researched on the internet. He has also received advice from his massage therapist. However, the same pain comes back when he runs. He has good shoes, and changes them every 250-300 miles, per industry recommendations. Because of all of his research, he is concerned that this is an issue that is going to keep him from running altogether.
When asked if the patient had any imaging, he replied “only an xray”. Then he said, “Why, do you think I need an MRI?” Sensing fear of life-altering structural damage, the patient was assured that one of the goals of physiotherapy is to determine the right place for them. With a careful assessment over 2-3 visits, we should know if further testing is necessary.


1. Given the history, anatomy and function of the hip, which structures are you going to examine? Explain why and how you will perform the examination of these structures.
2. What functional activities would you assess and how would you establish these    functional baselines. How vigorous can you be in your examination?
3. What examination tests would you use, and why would you use them?
4. What other subjective information would you get from this runner?

13. A manager wants to know whether customers in Taiwan, on average, would spend more than $2,000 per month on the service that is similar to what her company provides. The following information regarding the consumer behavior of 49 customers was provided by the marketing research team: sample mean = $2,400 and sample standard deviation = $1,800. Using the sample information provided and 0.05 significance level, determine the critical value and calculate the value of the test statistic.

A. Critical value = –1.96 & +1.96, and Test statistic = –1.56

B. Critical value = –1.645, and Test statistic = –1.56

C. Critical value = +1.645, and Test statistic = +1.56

D. Critical value = +1.96, and Test statistic = +1.56

14. Which of the following is NOT a characteristic of a normal variable?

A. It can be converted into the standard normal variable.

B. The values are from –∞ to +∞.

C. The center line is always at 0.

D. The probability of each individual value is virtually 0.

15. A tire manufacturer claims that his tires have a mean life of 60,000 miles when used under normal diving conditions. A firm that requires a larger number of these tires wants to test the claim. If the claim is correct, the firm will purchase the manufacturer’s tires; otherwise, the firm will seek another supplier. Now a random sample of 100 tires is taken and the mean and standard deviation of the 100 tires are found. Using these sample results, a 95% confidence interval for the mean life of the tire is estimated as from 56,789 to 63,211 miles. The manufacturer’s claim is tested at the 5% significance level. Based on the given information, what should the firm do?

A. The firm will seek another supplier.

B. Cannot be determined because of insufficient information.

C. The firm will purchase the manufacturer’s tires.

D. The firm will purchase half from the manufacturer and the other half from another supplier.

16. Because of the relatively high interest rates, most consumers attempt to pay off their credit card bills promptly. However, this is not always possible. An analysis of the amount of interest paid monthly by a bank’s Visa cardholders reveals that the amount is normally distributed with a mean of $1,735 and a standard deviation of $285. What interest payment is exceeded by only 15% of the bank’s Visa cardholders?

A. $1,438.60

B. $1,585.375

C. $1,884.625

D. $2,031.40

What would be steps and reason to answering the following question? Also thank you ahead for helping me understand the question. :)

approximate the value of sin(0.8).

1. Find the Maclaurin series for sin(x).
   1. Do we have enough information to use right triangles to estimate sin(0.8)? Why?
   2. Estimate sin(0.8) using values of sin(x).
   3. Estimate sin(0.8) using the graph of y = sin(x) from the graph of y = sin(x), −2π ≤ x ≤ 2π.
   4. Estimate sin(0.8) using the 5th degree Taylor polynomial for sin(x) at a = 0 ( Using either the Taylor polynomial up to n = 5 or the Taylor polynomial up to the x⁵ term).
   5. Find the error bound from the Alternating Series Estimation Theorem (using the next nonzero term of the Maclaurin series), and explain what it tells us about the actual value of sin(0.8).

17. Solutions are made with the folowing initial sets of concentrations. Which will not form a buffer solution

    1. 0.1 M HCN and 0.2 M KCN

    2. 0.2 M HCN and 0.1 M NaOH

    3. 0.1 M HCN and 0.2 M NaOH

    4. 0.2 M HCN and 0.1 M KCN

The opera theater manager calculates that 11% of the opera tickets for tonight's show have been sold. If the manager is correct, what is the probability that the proportion of tickets sold in a sample of 703 tickets would be less than 13%? Round your answer to four decimal places.

Explain how a revenue journal might to modified for the following specific business(choose 1). Discuss the process of posting from revenue journal to general ledger.

- Dunbar Auto Repair Business

- Dunbar Movie Theater.

- Mifflin Hut Snack Bar, Restaurant, and Lounge.

The opera theater manager believes that 11% of the opera tickets for tonight's show have been sold.

If the manager is right, what is the probability that the proportion of tickets sold in a sample of 792 tickets would be greater than 14%? Round your answer to four decimal places.

Address how your hotel/resort will impact the surrounding community in the areas of energy and water use as well as waste-trash and sewerage. The project will identify how the property, its’ activities and guests will impact the surrounding environment, depending on the nature of your recreational activities. This hotel is located in Islamorada, FL (Florida keys)